%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Paul Calamai and Luis Vicente",
%%% version = "1.05",
%%% date = "25 November 2011",
%%% time = "16:03:52 MDT",
%%% filename = "multilevel-prog.bib",
%%% address = "University of Waterloo
%%% Systems Design Engineering
%%% 200 University Ave. W
%%% Waterloo, Ontario N2L 3G1
%%% Canada",
%%% telephone = "(519) 885-1211 x3182",
%%% FAX = "+1 519 746 4791",
%%% URL = "http://dial.uwaterloo.ca/~phcalama",
%%% checksum = "60296 2344 8010 85687",
%%% email = "phcalama at dial.uwaterloo.ca,
%%% lvicente at caam.rice.edu (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "Optimization, Location Theory, Bilevel
%%% Programming, Resource Management, Static
%%% Stackelberg Problems",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a bibliography of publications
%%% about bilevel and multilevel programming
%%% and Stackelberg problems when considered as
%%% optimization problems -- usually called
%%% static Stackelberg problems.
%%%
%%% We have selected contributions in this area
%%% that deal with theory issues (properties,
%%% existence of solution, optimality
%%% conditions and so on), algorithms and
%%% numerical results, software and generation
%%% of test problems, applications and
%%% complexity issues.
%%%
%%% References to be cited should be books,
%%% articles published in journals or special
%%% volumes and technical reports that are
%%% available to the broad research community.
%%% Conferences and seminar abstracts are not
%%% included.
%%%
%%% An older version of this bibliography has
%%% been published; see entry Vicente:1994:BMP.
%%%
%%% At version 1.05, the year coverage looked
%%% like this:
%%%
%%% 1952 ( 1) 1967 ( 0) 1982 ( 8)
%%% 1953 ( 0) 1968 ( 0) 1983 ( 8)
%%% 1954 ( 0) 1969 ( 0) 1984 ( 7)
%%% 1955 ( 0) 1970 ( 1) 1985 ( 8)
%%% 1956 ( 0) 1971 ( 1) 1986 ( 4)
%%% 1957 ( 0) 1972 ( 0) 1987 ( 4)
%%% 1958 ( 0) 1973 ( 1) 1988 ( 15)
%%% 1959 ( 0) 1974 ( 3) 1989 ( 11)
%%% 1960 ( 0) 1975 ( 0) 1990 ( 18)
%%% 1961 ( 0) 1976 ( 0) 1991 ( 10)
%%% 1962 ( 0) 1977 ( 4) 1992 ( 28)
%%% 1963 ( 0) 1978 ( 3) 1993 ( 17)
%%% 1964 ( 0) 1979 ( 1) 1994 ( 14)
%%% 1965 ( 0) 1980 ( 3) 1995 ( 8)
%%% 1966 ( 0) 1981 ( 7) 1996 ( 1)
%%% 19xx ( 1)
%%%
%%% Article: 116
%%% Book: 4
%%% InBook: 2
%%% InCollection: 8
%%% InProceedings: 13
%%% MastersThesis: 3
%%% PhdThesis: 10
%%% TechReport: 30
%%% Unpublished: 1
%%%
%%% Total entries: 187
%%%
%%% This file is available as part of the BibNet
%%% Project. The master copy is available for
%%% public access on ftp.math.utah.edu in the
%%% directory tree /pub/bibnet/authors. It is
%%% mirrored to netlib.bell-labs.com in the directory
%%% tree /netlib/bibnet/authors, from which it is
%%% available via anonymous ftp and the Netlib
%%% service.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
@String{inst-arizona-ie = "University of Arizona, Systems and
Industrial Engineering Department"}
@String{inst-bayreuth = "University of Bayreuth"}
@String{inst-coimbra-math = "University of Coimbra, Department of
Mathematics"}
@String{inst-crt = "Centre de Recherche sur les Transports"}
@String{inst-gw = "George Washington University"}
@String{inst-lanl = "Los Alamos National Laboratory"}
@String{inst-lit-math = "Link{\"o}ping Institute of Technology,
Department of Mathematics"}
@String{inst-lit-math:adr = "Sweden"}
@String{inst-montreal = "Universit{\'e} de Montr{\'e}al, {\'E}cole
Polytechnique"}
@String{inst-rice-cam = "Rice University, Department of Computational
and Applied Mathematics"}
@String{inst-rpi-ors = "Rensselaer Polytechnic Institute,
Department of Operations Research
and Statistics"}
@String{inst-suny-ie = "State University of New York at Buffalo,
Department of Industrial Engineering"}
@String{inst-suny-or = "State University of New York at Buffalo,
Operations Research Program"}
@String{inst-texas-mecheng = "University of Texas at Austin, Department
of Mechanical Engineering"}
@String{inst-uiuc = "University of Illinois at Urbana-Champaign"}
@String{inst-vic-mathstat = "University of Victoria, Department of
Mathematics and Statistics"}
@String{inst-waterloo-syde = "University of Waterloo, Department of
Systems Design Engineering"}
@String{inst-wb-drc = "World Bank Development Research Center"}
@String{inst-wb-drc:adr = "Washington D.C."}
@String{j-acm-toms = "ACM Transactions on Mathematical Software"}
@String{j-amer-agr-econ = "American Journal of Agricultural Economics"}
@String{j-annals-op-res = "Annals of Operations Research"}
@String{j-annals-reg-sci = "Annals of Regional Science"}
@String{j-chinese-eng = "Journal of Chinese Institute of Engineers"}
@String{j-coll-algor-acm = "Collected Algorithms from ACM"}
@String{j-comp-chem-eng = "Computers \& Chemical Engineering"}
@String{j-comp-op-res = "Computers and Operations Research"}
@String{j-euro-op-res = "European Journal of Operational Research"}
@String{j-glob-opt = "Journal of Global Optimization"}
@String{j-ieee-ctrl = "{IEEE} Transactions on Automatic Control"}
@String{j-ieee-smc = "{IEEE} Transactions on Systems, Man, and
Cybernetics"}
@String{j-infor = "{INFOR}"}
@String{j-int-sys-sci = "International Journal of Systems Science"}
@String{j-inv-op = "Investiga{\c c}{\~a}o Operacional"}
@String{j-J-GLOBAL-OPT = "Journal of Global Optimization"}
@String{j-J-OPT-THEORY-APPL = "Journal of Optimization Theory and
Applications"}
@String{j-jota = "Journal of Optimization Theory and
Applications"}
@String{j-man-sci = "Management Science"}
@String{j-math-op-res = "Mathematics of Operations Research"}
@String{j-math-prog = "Mathematical Programming"}
@String{j-math-prog-stdy = "Mathematical Programming Study"}
@String{j-nrl = "Naval Research Logistics"}
@String{j-nrlq = "Naval Research Logistics Quarterly"}
@String{j-omega = "{OMEGA}"}
@String{j-op = "Optimization"}
@String{j-op-res = "Operations Research"}
@String{j-op-res-soc = "Journal of the Operational Research
Society"}
@String{j-or-let = "Operations Research Letters"}
@String{j-r-math = "Richerche di Matematica"}
@String{j-res-op = "Recherche op{\'e}rationelle\slash
Operations Research"}
@String{j-rev-tun = "Revue Tunisienne d'{\'E}conomie et
de Gestion"}
@String{j-siam-control-opt = "{SIAM} Journal on Control and
Optimization"}
@String{j-siam-opt = "{SIAM} Journal on Optimization"}
@String{j-siam-ssc = "{SIAM} Journal on Scientific and Statistical
Computing"}
@String{j-transport-res = "Transportation Research"}
@String{j-transport-sci = "Transportation Science"}
@String{j-zor-math-methods-or = "{ZOR} - Mathematical Methods of
Operations Research"}
@String{j-zor-methods-models-or = "{ZOR} - Methods and Models of
Operations Research"}
@String{pub-acad-pr = "Academic Press"}
% A.P.'s address could also be this:
% = "Orlando, San Diego, New York,
% Austin, Boston, London,
% Sydney, Tokyo, Toronto"
% or "Boston, MA, USA"
@String{pub-acad-pr:adr = "New York"}
@String{pub-birkhauser = "Birkh{\"a}user Verlag"}
@String{pub-birkhauser:adr = "Basel"}
@String{pub-cup = "Cambridge University Press"}
% CUP's address could also be this:
% = "Cambridge, New York, New Rochelle,
% Melbourne, Sydney"}
% or just `New York'.
@String{pub-cup:adr = "Cambridge, U.K."}
@String{pub-kluwer = "Kluwer Academic Publishers Group"}
@String{pub-kluwer:adr = "Dordrecht, The Netherlands"}
@String{pub-n-holland = "North Holland-Elsevier Science Publishers"}
@String{pub-n-holland:adr = "Amsterdam, New York, Oxford"}
@String{pub-oxford = "Oxford University Press"}
@String{pub-oxford:adr = "New York, Oxford"}
@String{pub-siam = "SIAM Publ."}
@String{pub-siam:adr = "Philadelphia"}
@String{pub-springer = "Springer-Verlag"}
% S-V's address could also be this:
% = "Berlin, Heidelberg, New York,
% London, Paris, Tokyo, Hong Kong"}
@String{pub-springer:adr = "Berlin"}
@String{pub-wiley = "John Wiley \& Sons"}
@String{pub-wiley:adr = "New York, London, Sydney"}
@Book{Stackelberg:1952:TME,
author = "H. Stackelberg",
title = "The theory of the market economy",
publisher = pub-oxford,
address = pub-oxford:adr,
year = "1952",
LCCN = "HD35 .S73 1952",
pages = "328",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
bibdate = "Fri Nov 24 13:00:01 1995",
}
@Book{Mesanovic:1970:THM,
author = "M. Mesanovic and D. Macko and Y. Takahara",
title = "Theory of hierarchical, multilevel systems",
publisher = pub-acad-pr,
address = pub-acad-pr:adr,
year = "1970",
LCCN = "QA3 .M286 v.68, T57.6 .M47",
pages = "xiii + 294",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
bibdate = "Fri Nov 24 12:59:59 1995",
}
@Article{Cassidy:1971:EDR,
author = "R. Cassidy and M. Kirby and W. Raike",
title = "Efficient distribution of resources through three
levels of government",
journal = j-man-sci,
volume = "17",
pages = "462--473",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bracken:1973:MPO,
author = "J. Bracken and J. McGill",
title = "Mathematical programs with optimization problems in
the constraints",
journal = j-op-res,
volume = "21",
pages = "37--44",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bracken:1974:DAM,
author = "J. Bracken and J. McGill",
title = "Defense applications of mathematical programs with
optimization problems in the constraints",
journal = j-op-res,
volume = "22",
pages = "1086--1096",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bracken:1974:ETM,
author = "J. Bracken and J. Falk and J. McGill",
title = "Equivalence of two mathematical programs with
optimization problems in the constraints",
journal = j-op-res,
volume = "22",
pages = "1102--1104",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bracken:1974:MSM,
author = "J. Bracken and J. McGill",
title = "A method for solving mathematical programs with
nonlinear programs in the constraints",
journal = j-op-res,
volume = "22",
pages = "1097--1101",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Candler:1977:MP,
author = "W. Candler and R. Norton",
title = "Multilevel programming",
number = "20",
institution = inst-wb-drc,
address = inst-wb-drc:adr,
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Candler:1977:MPD,
author = "W. Candler and R. Norton",
title = "Multilevel programming and development policy",
number = "258",
institution = inst-wb-drc,
address = inst-wb-drc:adr,
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Gallo:1977:BPE,
author = "G. Gallo and A. {\"{U}}lk{\"{u}}c{\"{u}}",
title = "Bilinear programming: an exact algorithm",
journal = j-math-prog,
volume = "12",
pages = "173--194",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Simaan:1977:SOT,
author = "M. Simaan",
title = "{Stackelberg optimization of two-level systems}",
journal = j-ieee-smc,
volume = "7",
pages = "554--557",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Bialas:1978:MLP,
author = "W. Bialas and M. Karwan",
title = "Multilevel linear programming",
number = "78-1",
institution = inst-suny-or,
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bracken:1978:PMD,
author = "J. Bracken and J. McGill",
title = "Production and marketing decisions with multiple
objectives in a competitive environment",
journal = j-jota,
volume = "24",
pages = "449--458",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{deSilva:1978:SFN,
author = "A. deSilva",
title = "Sensitivity formulas for nonlinear factorable
programming and their application to the solution of an
implicitly defined optimization model of {US} crude oil
production",
school = inst-gw,
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Book{Dirickx:1979:SAM,
author = "Y. Dirickx and L. Jennegren",
title = "Systems analysis by multi-level methods: with
applications to economics and management",
publisher = pub-wiley,
address = pub-wiley:adr,
pages = "xi + 217",
year = "1979",
ISBN = "0-471-27626-X",
ISBN-13 = "978-0-471-27626-5",
LCCN = "HD30.25 .D57",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Bialas:1980:PCP,
author = "W. Bialas and M. Karwan and J. Shaw",
title = "A parametric complementary pivot approach for
two-level linear programming",
number = "80-2",
institution = inst-suny-or,
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@MastersThesis{Schenk:1980:MPM,
author = "G. Schenk",
title = "A multilevel programming model for determining
regional effluent charges",
school = inst-suny-ie,
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@MastersThesis{Shaw:1980:PCP,
author = "J. Shaw",
title = "A parametric complementary pivot approach to
multilevel programming",
school = inst-suny-ie,
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Aiyoshi:1981:HDS,
author = "E. Aiyoshi and K. Shimizu",
title = "Hierarchical decentralized systems and its new
solution by a barrier method",
journal = j-ieee-smc,
volume = "11",
pages = "444--449",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Candler:1981:PRM,
author = "W. Candler and J. Fortuny-Amat and B. McCarl",
title = "The potential role of multilevel programming in
agricultural economics",
journal = j-amer-agr-econ,
volume = "63",
pages = "521--531",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Fortuny-Amat:1981:REI,
author = "J. Fortuny-Amat and B. McCarl",
title = "A representation and economic interpretation of a
two-level programming problem",
journal = j-op-res-soc,
volume = "32",
pages = "783--792",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Parraga:1981:HPA,
author = "F. Parraga",
title = "Hierarchical programming and applications to economic
policy",
school = inst-arizona-ie,
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Shimizu:1981:NCM,
author = "K. Shimizu and E. Aiyoshi",
title = "{A new computational method for Stackelberg and
min-max problems by use of a penalty method}",
journal = j-ieee-ctrl,
volume = "26",
pages = "460--466",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Wen:1981:KBA,
author = "U. Wen",
title = "{The ``Kth-Best'' algorithm for multilevel
programming}",
institution = "Department of Operations Research, State University of
New York at Buffalo.",
year = "1981",
bibdate = "Fri Nov 24 13:22:46 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Wen:1981:MMM,
author = "U. Wen",
title = "Mathematical methods for multilevel linear
programming",
school = inst-suny-ie,
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1982:ESM,
author = "J. Bard and J. Falk",
title = "An explicit solution to the multi-level programming
problem",
journal = j-comp-op-res,
volume = "9",
pages = "77--100",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Bard:1982:GSA,
author = "J. Bard",
booktitle = "Proceedings of the 14th Annual Meeting of the American
Institute for Decision Science",
title = "A grid search algorithm for the linear bilevel
programming problem",
pages = "256--258",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bialas:1982:TLO,
author = "W. Bialas and M. Karwan",
title = "On two-level optimization",
journal = j-ieee-ctrl,
volume = "27",
pages = "211--214",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bisschop:1982:IBM,
author = "J. Bisschop and W. Candler and J. Duloy and G.
O'Mara",
title = "The indus basin model: a special application of
two-level linear programming",
journal = j-math-prog-stdy,
volume = "20",
pages = "30--38",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Candler:1982:LTL,
author = "W. Candler and R. Townsley",
title = "A linear two-level programming problem",
journal = j-comp-op-res,
volume = "9",
pages = "59--76",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Narula:1982:DPS,
author = "S. Narula and A. Nwosu",
title = "A dynamic programming solution for the hierarchical
linear programming problem",
number = "37--82",
institution = inst-rpi-ors,
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Papavassilopoulos:1982:ASS,
author = "G. Papavassilopoulos",
booktitle = "Proceedings of the 21st IEEE Conference on Decisions
and Control",
title = "{Algorithms for static Stackelberg games with linear
costs and polyhedral constraints}",
pages = "647--652",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InBook{Shimizu:1982:TLD,
author = "K. Shimizu",
title = "{Two-level decision problems and their new solution
methods by a penalty method}",
volume = "2",
publisher = "IFAC",
pages = "1303--1308",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "Control science and technology for the progress of
society",
}
@InCollection{Anandalingam:1983:AIB,
author = "G. Anandalingam and R. Mathieu and L. Pittard and N.
Sinha",
editor = "R. Sharda and B. Golden and E. Wasil and O. Balci and
W. Stewart",
booktitle = "Impacts of Recent Computer Advances on Operations
Research",
title = "Artificial intelligence based approaches for solving
hierarchical optimization problems",
publisher = pub-n-holland,
address = pub-n-holland:adr,
pages = "289--301",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1983:ASG,
author = "J. Bard",
title = "An algorithm for solving the general bilevel
programming problem",
journal = j-math-op-res,
volume = "8",
pages = "260--272",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1983:CMO,
author = "J. Bard",
title = "Coordination of a multidivisional organization through
two levels of management",
journal = j-omega,
volume = "11",
pages = "457--468",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1983:EPA,
author = "J. Bard",
title = "An efficient point algorithm for a linear two-stage
optimization problem",
journal = j-op-res,
volume = "31",
pages = "670--684",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Marcotte:1983:NOC,
author = "P. Marcotte",
title = "Network optimization with continuous control
parameters",
journal = j-transport-sci,
volume = "17",
pages = "181--197",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InCollection{Narula:1983:TLH,
author = "S. Narula and A. Nwosu",
editor = "P. Hansen",
booktitle = "Essays and surveys on multiple criteria decision
making",
title = "Two-level hierarchical programming problems",
publisher = pub-springer,
address = pub-springer:adr,
pages = "290--299",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Nwosu:1983:PEH,
author = "A. Nwosu",
title = "Pre-emptive hierarchical programming problem: a
decentralized decision model",
school = inst-rpi-ors,
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Wen:1983:SPR,
author = "U. Wen",
title = "A solution procedure for the resource control problem
in two-level hierarchical decision processes",
journal = j-chinese-eng,
volume = "6",
pages = "91--97",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Aiyoshi:1984:SMS,
author = "E. Aiyoshi and K. Shimizu",
title = "{A solution method for the static constrained
Stackelberg problem via penalty method}",
journal = j-ieee-ctrl,
volume = "29",
pages = "1111--1114",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1984:ILT,
author = "J. Bard",
title = "An investigation of the linear three level programming
problem",
journal = j-ieee-smc,
volume = "14",
pages = "711--717",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1984:OCB,
author = "J. Bard",
title = "Optimality conditions for the bilevel programming
problem",
journal = j-nrlq,
volume = "31",
pages = "13--26",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bialas:1984:TLL,
author = "W. Bialas and M. Karwan",
title = "Two-level linear programming",
journal = j-man-sci,
volume = "30",
pages = "1004--1020",
year = "1984",
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}
@Article{Luh:1984:TLS,
author = "P. Luh and T.-S. Chang and T. Ning",
title = "{Three-level Stackelberg decision problems}",
journal = j-ieee-ctrl,
volume = "29",
pages = "280--282",
year = "1984",
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@Article{Sherali:1984:MLS,
author = "H. Sherali",
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pages = "390--404",
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author = "T. Tanino and T. Ogawa",
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volume = "15",
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@InProceedings{Anandalingam:1985:AII,
author = "G. Anandalingam",
booktitle = "IEEE 1985 Proceedings of the International Conference
on Cybernetics and Society",
title = "An analysis of information and incentives in bi-level
programming",
pages = "925--929",
year = "1985",
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@Article{Bard:1985:GAD,
author = "J. Bard",
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@InCollection{Cellis:1985:TRS,
author = "M. Cellis and J. Dennis and R. Tapia",
editor = "P. Boggs and R. Byrd and R. Schnabel",
booktitle = "Numerical Optimization 1984",
title = "A trust region strategy for nonlinear equality
constrained optimization",
type = "Proceedings",
publisher = pub-siam,
address = pub-siam:adr,
pages = "71--82",
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}
@Article{Jeroslow:1985:PHS,
author = "R. Jeroslow",
title = "The polynomial hierarchy and a simple model for
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journal = j-math-prog,
volume = "32",
pages = "146--164",
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}
@TechReport{Kolstad:1985:RLB,
author = "C. Kolstad",
title = "{A review of the literature on bi-level mathematical
programming}",
number = "LA-10284-MS, US-32",
institution = inst-lanl,
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Morgan:1985:ASP,
author = "J. Morgan and P. Loridan",
editor = "G. Di Pillo",
booktitle = "Control application of nonlinear programming and
optimization: Proceedings of the Fifth IFAC Workshop,
Capri, Italy 11 - 14 June",
title = "{Approximation of the Stackelberg problem and
applications in control theory}",
pages = "121--124",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InCollection{Narula:1985:AST,
author = "S. Narula and A. Nwosu",
editor = "P. Serafini",
booktitle = "Mathematics of multiple-objective programming",
title = "An algorithm to solve a two-level resource control
pre-emptive hierarchical programming problem",
publisher = pub-springer,
address = pub-springer:adr,
year = "1985",
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}
@Article{Shimizu:1985:OCA,
author = "K. Shimizu and E. Aiyoshi",
title = "Optimality conditions and algorithms for parameter
design problems with two-level structure",
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volume = "30",
pages = "986--993",
year = "1985",
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}
@Article{Leblanc:1986:BPA,
author = "L. Leblanc and D. Boyce",
title = "A bilevel programming algorithm for exact solution of
the network design problem with user-optimal flows",
journal = j-transport-res,
volume = "20 B",
pages = "259--265",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Marcotte:1986:NDP,
author = "P. Marcotte",
title = "Network design problem with congestion effects: a case
of bilevel programming",
journal = j-math-prog,
volume = "34",
pages = "142--162",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Tobin:1986:SCF,
author = "R. Tobin and T. Friesz",
title = "Spatial competition facility location models:
definition, formulation and solution approach",
journal = j-annals-op-res,
volume = "6",
pages = "49--74",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Wen:1986:HAS,
author = "U. Wen and W. Bialas",
title = "The hybrid algorithm for solving the three-level
linear programming problem",
journal = j-comp-op-res,
volume = "13",
pages = "367--377",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Dempe:1987:SAL,
author = "S. Dempe",
title = "A simple algorithm for the linear bilevel programming
problem",
journal = j-op,
volume = "18",
pages = "373--385",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Friesz:1987:EDO,
author = "T. Friesz and C. Suwansirikul and R. Tobin",
title = "Equilibrium decomposition optimization: a heuristic
for the continuous equilibrium network design problem",
journal = j-transport-sci,
volume = "21",
pages = "254--263",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Suwansirikul:1987:EDO,
author = "C. Suwansirikul and T. Friesz and R. Tobin",
title = "Equilibrium decomposed optimization: a heuristic for
the continuous equilibrium network design problem",
journal = j-transport-sci,
volume = "21",
pages = "254--263",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{uenlue:1987:LBP,
author = "G. {\"{U}}nl{\"{u}}",
title = "A linear bilevel programming algorithm based on
bicriteria programming",
journal = j-comp-op-res,
volume = "14",
pages = "173--179",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Anandalingam:1988:MPM,
author = "G. Anandalingam",
title = "A mathematical programming model of decentralized
multi-level systems",
journal = j-op-res-soc,
volume = "39",
pages = "1021--1033",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1988:CTL,
author = "J. Bard",
title = "Convex two-level optimization",
journal = j-math-prog,
volume = "40",
pages = "15--27",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Ben-Ayed:1988:BLP,
author = "O. Ben-Ayed",
title = "Bilevel linear programming: analysis and application
to the network design problem",
school = inst-uiuc,
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Ben-Ayed:1988:GBL,
author = "O. Ben-Ayed and D. Boyce and C. Blair",
title = "A general bilevel linear programming formulation of
the network design problem",
journal = j-transport-res,
volume = "22 B",
pages = "311--318",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Candler:1988:LBP,
author = "W. Candler",
title = "A linear bilevel programming algorithm: {A} comment",
journal = j-comp-op-res,
volume = "15",
pages = "297--298",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Clarke:1988:NOC,
author = "P. Clarke and A. Westerberg",
title = "A note on the optimality conditions for the bilevel
programming problem",
journal = j-nrl,
volume = "35",
pages = "413--418",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Edmunds:1988:ANB,
author = "T. Edmunds",
title = "Algorithms for nonlinear bilevel mathematical
programs",
school = inst-texas-mecheng,
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Harker:1988:EOS,
author = "P. Harker and J.-S. Pang",
title = "Existence of optimal solutions to mathematical
programs with equilibrium constraints",
journal = j-or-let,
volume = "7",
pages = "61--64",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Ishizuka:1988:OCQ,
author = "Y. Ishizuka",
title = "Optimality conditions for quasi-differentiable
programs with applications to two-level optimization",
journal = j-siam-control-opt,
volume = "26",
pages = "1388--1398",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Judice:1988:SLB,
author = "J. J\'udice and A. Faustino",
title = "{The solution of the linear bilevel programming
problem by using the linear complementarity problem}",
journal = j-inv-op,
volume = "8",
pages = "77--95",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Kim:1988:TDN,
author = "T. Kim and S. Suh",
title = "{Toward developing a national transportation planning
model: a bilevel programming approach for Korea}",
journal = j-annals-reg-sci,
volume = "22",
pages = "65--80",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InCollection{Loridan:1988:AST,
author = "P. Loridan and J. Morgan",
editor = "K. Hoffman and J. Hiriart-Urruty and C. Lamerachal and
J. Zowe",
booktitle = "Trends in Mathematical Optimization",
title = "Approximate solutions for two-level optimization
problems",
volume = "84",
publisher = pub-birkhauser,
address = pub-birkhauser:adr,
pages = "181--196",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "International Series of Numerical Mathematics",
}
@Article{Marcotte:1988:NBP,
author = "P. Marcotte",
title = "{A note on bilevel programming algorithm by LeBlanc
and Boyce}",
journal = j-transport-res,
volume = "22 B",
pages = "233--237",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Moore:1988:EML,
author = "J. Moore",
title = "Extensions to the multilevel linear programming
problem",
school = inst-texas-mecheng,
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Morgan:1988:CWP,
author = "J. Morgan",
editor = "F. H. Clarke and V. F. Dem'yanov and F. Flannessi",
booktitle = "Nonsmooth optimization and related topics: Proceedings
of the Fourth Course of the International School of
Mathematics on Nonsmooth Optimization and Related
Topics, Italy June 20 - July 1",
title = "Constrained well-posed two-level optimization
problems",
pages = "307--325",
year = "1988",
ISBN = "0-306-43247-1",
ISBN-13 = "978-0-306-43247-7",
LCCN = "QA402 .C68 1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Benson:1989:SPL,
author = "H. Benson",
title = "On the structure and properties of a linear multilevel
programming problem",
journal = j-jota,
volume = "60",
pages = "353--373",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Bi:1989:EPF,
author = "Z. Bi and P. Calamai and A. Conn",
title = "An exact penalty function approach for the linear
bilevel programming problem",
number = "\#167-O-310789",
institution = inst-waterloo-syde,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
URL = "ftp://dial.uwaterloo.ca/pub/tech_reports",
}
@Article{Dempe:1989:OOC,
author = "S. Dempe",
title = "On one optimality condition for bilevel optimization",
journal = "Vestnik Leningrad Gos. University",
pages = "10--14",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
note = "Serija I, in Russian, translation Vestnik Leningrad
University, Math., 22:11--16, 1989.",
}
@InProceedings{Hsu:1989:RLB,
author = "S. Hsu and U. Wen",
booktitle = "Proceedings of the National Science Council, Republic
of China, Part A: Physical Science and Engineering",
title = "A review of linear bilevel programming problems",
volume = "13",
pages = "53--61",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Loridan:1989:NRA,
author = "P. Loridan and J. Morgan",
title = "New results on approximate solutions in two-level
optimization",
journal = j-op,
volume = "20",
pages = "819--836",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Loridan:1989:RTL,
author = "P. Loridan and J. Morgan",
booktitle = "Optimization - Fifth French-German Conference",
title = "{$\epsilon$-Regularized two-level optimization
problems: approximation and existence results}",
publisher = pub-springer,
address = pub-springer:adr,
pages = "99--113",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "Lecture Notes in Mathematics 1405",
}
@Article{Loridan:1989:SSR,
author = "P. Loridan and J. Morgan",
title = "{A sequential stability result for constrained
Stackelberg problems}",
journal = j-r-math,
volume = "38",
pages = "19--32",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Loridan:1989:TAS,
author = "P. Loridan and J. Morgan",
title = "{A theoretical approximation scheme for Stackelberg
problems}",
journal = j-jota,
volume = "61",
pages = "95--110",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Savard:1989:CPM,
author = "G. Savard",
title = "Contributions \`a la programmation math\'ematique \`a
deux niveaux",
school = inst-montreal,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Segall:1989:BLG,
author = "R. Segall",
title = "Bi-level geometric programming: a new optimization
model",
institution = "Department of Mathematics, University of Lowell, Olsen
Hall.",
year = "1989",
bibdate = "Fri Nov 24 13:23:14 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Wen:1989:NLB,
author = "U. Wen and S. Hsu",
title = "A note on a linear bilevel programming algorithm based
on bicriteria programming",
journal = j-comp-op-res,
volume = "16",
pages = "79--83",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Anandalingam:1990:SML,
author = "G. Anandalingam and D. White",
title = "{A solution method for the linear static Stackelberg
problem using penalty functions}",
journal = j-ieee-ctrl,
volume = "35",
pages = "1170--1173",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1990:BBA,
author = "J. Bard and J. Moore",
title = "A branch and bound algorithm for the bilevel
programming problem",
journal = j-siam-ssc,
volume = "11",
pages = "281--292",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Ben-Ayed:1990:BLP,
author = "O. Ben-Ayed",
title = "{A bilevel linear programming model applied to the
Tunisian inter-regional network design problem}",
journal = j-rev-tun,
volume = "5",
pages = "235--279",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Ben-Ayed:1990:CDB,
author = "O. Ben-Ayed and C. Blair",
title = "Computational difficulties of bilevel linear
programming",
journal = j-op-res,
volume = "38",
pages = "556--560",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Clarke:1990:BPSa,
author = "P. Clarke and A. Westerberg",
title = "{Bilevel programming for steady-state chemical process
design - I. Fundamentals and algorithms}",
journal = j-comp-chem-eng,
volume = "14",
pages = "87--98",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Clarke:1990:BPSb,
author = "P. Clarke and A. Westerberg",
title = "{Bilevel programming for steady-state chemical process
design - II. Performance study for nondegenerate
problems}",
journal = j-comp-chem-eng,
volume = "14",
pages = "99--110",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Friesz:1990:SAB,
author = "T. Friesz and R. Tobin and H. Cho and N. Mehta",
title = "Sensitivity analysis based heuristic algorithms for
mathematical programs with variational inequality
constraints",
journal = j-math-prog,
volume = "48",
pages = "265--284",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Haurie:1990:NEP,
author = "A. Haurie and G. Savard and D. White",
title = "A note on: an efficient point algorithm for a linear
two-stage optimization problem",
journal = j-op-res,
volume = "38",
pages = "553--555",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Haurie:1990:TLS,
author = "A. Haurie and R. Loulou and G. Savard",
booktitle = "Proceedings of IEEE Automatic Control Conference",
title = "A two-level systems analysis model of power
cogeneration under asymmetric pricing",
address = "San Diego",
month = may,
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Jan:1990:MLN,
author = "R. Jan and M. Chern",
title = "Multi-level nonlinear integer programming",
institution = "Department of Computer and Information Science,
National Chiao Tung University",
year = "1990",
bibdate = "Fri Nov 24 13:23:03 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Kolstad:1990:DEC,
author = "C. Kolstad and L. Lasdon",
title = "Derivative evaluation and computational experience
with large bilevel mathematical programs",
journal = j-jota,
volume = "65",
pages = "485--499",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Lignola:1990:EAR,
author = "M. Lignola and J. Morgan",
editor = "W. B{\"{u}}hler and G. Feichtinger and R. F. Hartl and
F. J. Radermacher and P. St{\"{a}}hly",
booktitle = "Operations Research Proceedings 1990",
title = "Existence and approximation results for min sup
problems",
publisher = pub-springer,
address = pub-springer:adr,
pages = "157--164",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "Papers of the 19th Annual Meeting",
}
@InBook{Loridan:1990:QCL,
author = "P. Loridan and J. Morgan",
title = "Quasi convex lower level problem and applications in
two level optimization",
volume = "345",
publisher = pub-springer,
address = pub-springer:adr,
pages = "325--341",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "Lecture Notes in Economics and Mathematical Systems",
}
@InProceedings{Loridan:1990:SST,
author = "P. Loridan and J. Morgan",
editor = "W. B{\"{u}}hler and G. Feichtinger and R. F. Hartl and
F. J. Radermacher and P. St{\"{a}}hly",
booktitle = "Operations Research Proceedings 1990",
title = "On strict $\epsilon$-solutions for a two-level
optimization problem",
publisher = pub-springer,
address = pub-springer:adr,
pages = "165--172",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "Papers of the 19th Annual Meeting",
}
@Article{Moore:1990:MIL,
author = "J. Moore and J. Bard",
title = "The mixed integer linear bilevel programming problem",
journal = j-op-res,
volume = "38",
pages = "911--921",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Neittaanmaeki:1990:SSO,
author = "P. Neittaanm{\"a}ki and A. Stachurski",
editor = "H.-J. Sebastian and K. Tammer",
booktitle = "Proceedings of the 14th IFIP Conference on System
Modelling and Optimization, Leipzig 1989",
title = "Solving some optimal control problems using the
barrier penalty function method",
publisher = pub-springer,
address = pub-springer:adr,
pages = "358--367",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Outrata:1990:NSC,
author = "J. Outrata",
title = "{On the numerical solution of a class of Stackelberg
problems}",
journal = j-zor-methods-models-or,
volume = "34",
pages = "255--277",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Wen:1990:ASM,
author = "U. Wen and Y. Yang",
title = "Algorithms for solving the mixed integer two-level
linear programming problem",
journal = j-comp-op-res,
volume = "17",
pages = "133--142",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Anandalingam:1991:MLP,
author = "G. Anandalingam and V. Aprey",
title = "Multi-level programming and conflict resolution",
journal = j-euro-op-res,
volume = "51",
pages = "233--247",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1991:SPB,
author = "J. Bard",
title = "Some properties of the bilevel programming problem",
journal = j-jota,
volume = "68",
pages = "371--378",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
note = "Technical Note",
}
@TechReport{Bi:1991:EPF,
author = "Z. Bi and P. Calamai and A. Conn",
title = "An exact penalty function approach for the nonlinear
bilevel programming problem",
number = "\#180-O-170591",
institution = inst-waterloo-syde,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
URL = "ftp://dial.uwaterloo.ca/pub/tech_reports",
}
@TechReport{Bi:1991:OCC,
author = "Z. Bi and P. Calamai",
title = "Optimality conditions for a class of bilevel
programming problems",
number = "\#191-O-191291",
institution = inst-waterloo-syde,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Chen:1991:NBP,
author = "Y. Chen and M. Florian",
title = "The nonlinear bilevel programming problem: a general
formulation and optimality conditions",
number = "CRT-794",
institution = inst-crt,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Edmunds:1991:ANB,
author = "T. Edmunds and J. Bard",
title = "Algorithms for nonlinear bilevel mathematical
programming",
journal = j-ieee-smc,
volume = "21",
pages = "83--89",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Florian:1991:BPA,
author = "M. Florian and Y. Chen",
title = "{A bilevel programming approach to estimating O-D
matrix by traffic counts}",
number = "CRT-750",
institution = inst-crt,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Loridan:1991:RTL,
author = "P. Loridan and J. Morgan",
booktitle = "Advances in optimization",
title = "Regularizations for two-level optimization problems",
publisher = pub-springer,
address = pub-springer:adr,
pages = "239--255",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "Proceedings of the 6th French-German Colloquium on
Optimization",
}
@Article{Marcotte:1991:NPO,
author = "P. Marcotte and G. Savard",
title = "A note on the Pareto optimality of solutions to the
linear bilevel programming problem",
journal = j-comp-op-res,
volume = "18",
pages = "355--359",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Wen:1991:LBL,
author = "U. Wen and S. Hsu",
title = "Linear bi-level programming problems - a review",
journal = j-op-res-soc,
volume = "42",
pages = "125--133",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Al-Khayyal:1992:GOC,
author = "F. Al-Khayyal and R. Horst and P. Pardalos",
title = "Global optimization of concave functions subject to
quadratic constraints: an application in nonlinear
bilevel programming",
journal = j-annals-op-res,
volume = "34",
pages = "125--147",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Anandalingam:1992:HOI,
author = "G. Anandalingam and T. Friesz",
title = "Hierarchical optimization: an introduction",
journal = j-annals-op-res,
volume = "34",
pages = "1--11",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Bard:1992:ADB,
author = "J. Bard and J. Moore",
title = "An algorithm for the discrete bilevel programming
problem",
journal = j-nrl,
volume = "39",
pages = "419--435",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Ben-Ayed:1992:CRW,
author = "O. Ben-Ayed and C. Blair and D. Boyce and L. LeBlanc",
title = "Construction of a real-world bilevel linear
programming model of the highway design problem",
journal = j-annals-op-res,
volume = "34",
pages = "219--254",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@PhdThesis{Bi:1992:NMB,
author = "Z. Bi",
title = "Numerical methods for bilevel programming problems",
school = inst-waterloo-syde,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Blair:1992:CCM,
author = "C. Blair",
title = "The computational complexity of multi-level linear
programs",
journal = j-annals-op-res,
volume = "34",
pages = "13--19",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Chen:1992:DDA,
author = "Y. Chen and M. Florian and S. Wu",
title = "A descent dual approach for linear bilevel programs",
number = "CRT-866",
institution = inst-crt,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Chen:1992:GSL,
author = "Y. Chen and M. Florian",
title = "On the geometry structure of linear bilevel programs:
a dual approach",
number = "CRT-867",
institution = inst-crt,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Dempe:1992:NSO,
author = "S. Dempe",
title = "A necessary and a sufficient optimality condition for
bilevel programming problems",
journal = j-op,
volume = "25",
pages = "341--354",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InCollection{Dempe:1992:OCB,
author = "S. Dempe",
editor = "P. Kall",
booktitle = "System modelling and optimization",
title = "Optimality conditions for bilevel programming
problems",
publisher = pub-springer,
address = pub-springer:adr,
pages = "17--24",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{deSilva:1992:IDO,
author = "A. deSilva and G. McCormick",
title = "Implicitly defined optimization problems",
journal = j-annals-op-res,
volume = "34",
pages = "107--124",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Drissi-Kaitouni:1992:BOD,
author = "O. Drissi-Kaitouni and J. T. Lundgren",
title = "Bilevel origin-destination matrix estimation using a
descent approach",
number = "LiTH-MAT-R-1992-49",
institution = inst-lit-math,
address = inst-lit-math:adr,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Edmunds:1992:AMI,
author = "T. Edmunds and J. Bard",
title = "An algorithm for the mixed-integer nonlinear bilevel
programming problem",
journal = j-annals-op-res,
volume = "34",
pages = "149--162",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Hansen:1992:NBB,
author = "P. Hansen and B. Jaumard and G. Savard",
title = "New branch-and-bound rules for linear bilevel
programming",
journal = j-siam-ssc,
volume = "13",
pages = "1194--1217",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Haurie:1992:TPG,
author = "A. Haurie and R. Loulou and G. Savard",
title = "A two player game model of power cogeneration in New
England",
journal = j-ieee-ctrl,
volume = "37",
pages = "1451--1456",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Hobbs:1992:NBM,
author = "B. Hobbs and S. Nelson",
title = "A nonlinear bilevel model for analysis of electric
utility demand-side planning issues",
journal = j-annals-op-res,
volume = "34",
pages = "255--274",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Ishizuka:1992:DPM,
author = "Y. Ishizuka and E. Aiyoshi",
title = "Double penalty method for bilevel optimization
problems",
journal = j-annals-op-res,
volume = "34",
pages = "73--88",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Judice:1992:SLM,
author = "J. J\'udice and A. Faustino",
title = "{A sequential LCP method for bilevel linear
programming}",
journal = j-annals-op-res,
volume = "34",
pages = "89--106",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@InProceedings{Kocvara:1992:NAS,
author = "M. Kocvara and J. Outrata",
booktitle = "P. Kall, ed., System Modelling and Optimization",
title = "A nondifferentiable approach to the solution of
optimum design problems with variational inequalities",
publisher = pub-springer,
address = pub-springer:adr,
pages = "364--373",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "Lecture Notes in Control and Information Sciences
180",
}
@InCollection{Loridan:1992:LNR,
author = "P. Loridan and J. Morgan",
editor = "?",
booktitle = "?",
title = "Least-norm regularization for weak two-level
optimization problems",
volume = "107",
publisher = pub-birkhauser,
address = pub-birkhauser:adr,
pages = "307--318",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
series = "International Series of Numerical Mathematics",
}
@Article{Marcotte:1992:EIH,
author = "P. Marcotte and G. Marquis",
title = "Efficient implementation of heuristics for the
continuous network design problem",
journal = j-annals-op-res,
volume = "34",
pages = "163--176",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Marcotte:1992:EIP,
author = "P. Marcotte and D. Zhu",
title = "Exact and inexact penalty methods for the generalized
bilevel programming problem",
number = "CRT-920",
institution = inst-crt,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Marcotte:1992:NAD,
author = "P. Marcotte and G. Savard",
title = "Novel approaches to the discrimination problem",
journal = j-zor-methods-models-or,
volume = "36",
pages = "517--545",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Miller:1992:HAD,
author = "T. Miller and T. Friesz and R. Tobin",
title = "Heuristic algorithms for delivered price spatially
competitive network facility location problems",
journal = j-annals-op-res,
volume = "34",
pages = "177--202",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Oenal:1992:CEM,
author = "H. {\"{O}}nal",
title = "Computational experience with a mixed solution method
for bilevel linear/quadratic programs",
institution = "University of Illinois at Urbana-Champaign.",
year = "1992",
bibdate = "Fri Nov 24 13:26:20 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Suh:1992:SNB,
author = "S. Suh and T. Kim",
title = "Solving nonlinear bilevel programming models of the
equilibrium network design problem: a comparative
review",
journal = j-annals-op-res,
volume = "34",
pages = "203--218",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@MastersThesis{Vicente:1992:BP,
author = "L. Vicente",
title = "Bilevel programming",
school = inst-coimbra-math,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
note = "Written in Portuguese.",
}
@Article{Wen:1992:ESL,
author = "U. Wen and S. Hsu",
title = "Efficient solutions for the linear bilevel programming
problem",
journal = j-euro-op-res,
volume = "62",
pages = "354--362",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Ben-Ayed:1993:BLP,
author = "O. Ben-Ayed",
title = "Bilevel linear programming",
journal = j-comp-op-res,
volume = "20",
pages = "485--501",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Calamai:1993:GLL,
author = "P. Calamai and L. Vicente",
title = "Generating linear and linear-quadratic bilevel
programming problems",
journal = j-siam-ssc,
volume = "14",
pages = "770--782",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
URL = "http://dial.uwaterloo.ca/~phcalama/cpp.html",
}
@PhdThesis{Chen:1993:BPP,
author = "Y. Chen",
title = "Bilevel programming problems: analysis, algorithms and
applications",
school = inst-montreal,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Florian:1993:CDM,
author = "M. Florian and Y. Chen",
title = "{A coordinate descent method for bilevel O-D matrix
estimation problems}",
number = "CRT-807",
institution = inst-crt,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Kocvara:1993:NST,
author = "M. Kocvara and J. Outrata",
title = "A numerical solution of two selected shape
optimization problems",
number = "DFG (German Scientific Foundation) Research Report
464",
institution = inst-bayreuth,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Labbe:1993:BMT,
author = "M. Labb\'e and P. Marcotte and G. Savard",
title = "A bilevel model of taxation and its application to
optimal highway policy",
year = "1993",
bibdate = "Fri Nov 24 13:23:37 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
note = "Preprint",
}
@TechReport{Luo:1993:EPF,
author = "Z.-Q. Luo and J.-S. Pang and S. Wu",
title = "Exact penalty functions for mathematical programs and
bilevel programs with analytic constraints",
institution = "Department of Electrical and Computer Engineering,
McMaster University",
year = "1993",
bibdate = "Fri Nov 24 13:23:35 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Luo:1993:EPS,
author = "Z.-Q. Luo and J.-S. Pang and D. Ralph and S. Wu",
title = "Exact penalization and stationarity conditions of
mathematical programs with equilibrium constraints",
institution = "Department of Electrical and Computer Engineering,
McMaster University",
year = "1993",
bibdate = "Fri Nov 24 13:23:44 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Mallozzi:1993:MSS,
author = "L. Mallozzi and J. Morgan",
title = "$\epsilon$-mixed strategies for static
continuous-kernel Stackelberg games",
journal = j-jota,
volume = "78",
pages = "303--316",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Oenal:1993:MSA,
author = "H. {\"{O}}nal",
title = "A modified simplex approach for solving bilevel linear
programming problems",
journal = j-euro-op-res,
volume = "67",
pages = "126--135",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Outrata:1993:NAO,
author = "J. Outrata and J. Zowe",
title = "A numerical approach to optimization problems with
variational inequality constraints",
number = "DFG (German Scientific Foundation) Research Report
463",
institution = inst-bayreuth,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Outrata:1993:NOC,
author = "J. Outrata",
title = "{Necessary optimality conditions for Stackelberg
problems}",
journal = j-jota,
volume = "76",
pages = "305--320",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Tuy:1993:GOA,
author = "H. Tuy and A. Migdalas and P. V{\"{a}}rbrand",
title = "A global optimization approach for the linear
two-level program",
journal = j-glob-opt,
volume = "3",
pages = "1--23",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{White:1993:PFA,
author = "D. White and G. Anandalingam",
title = "A penalty function approach for solving bi-level
linear programs",
journal = j-glob-opt,
volume = "3",
pages = "397--419",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Wu:1993:CPM,
author = "S. Wu and P. Marcotte and Y. Chen",
title = "A cutting plane method for linear bilevel programs",
institution = "Centre de Recherche sur les Transports",
year = "1993",
bibdate = "Fri Nov 24 13:23:50 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Ye:1993:GBP,
author = "J. Ye and D. Zhu and Q. Zhu",
title = "Generalized bilevel programming problems",
number = "DMS-646-IR",
institution = inst-vic-mathstat,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Ye:1993:OCB,
author = "J. Ye and D. Zhu",
title = "Optimality conditions for bilevel programming
problems",
number = "DMS-618-IR",
institution = inst-vic-mathstat,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Alexandrov:1994:ABO,
author = "N. Alexandrov and J. E. Dennis",
title = "Algorithms for bilevel optimization",
number = "TR94--34",
institution = inst-rice-cam,
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Calamai:1994:AFSa,
author = "P. Calamai and L. Vicente",
title = "Algorithm 728: {FORTRAN} Subroutines for generating
quadratic bilevel programming problems",
journal = j-acm-toms,
volume = "20",
pages = "120--123",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
URL = "http://dial.uwaterloo.ca/~phcalama/cpp.html",
}
@Article{Calamai:1994:AFSb,
author = "P. Calamai and L. Vicente",
title = "Algorithm 728: {FORTRAN} Subroutines for generating
quadratic bilevel programming problems",
journal = j-coll-algor-acm,
volume = "728-P",
pages = "1.0--3.0",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
note = "Code published in ACM Supplement xxx:1--?, 1994.",
URL = "http://dial.uwaterloo.ca/~phcalama/cpp.html",
}
@Article{Calamai:1994:GQB,
author = "P. Calamai and L. Vicente",
title = "Generating quadratic bilevel programming problems",
journal = j-acm-toms,
volume = "20",
pages = "103--119",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
URL = "http://dial.uwaterloo.ca/~phcalama/cpp.html",
}
@Article{Jan:1994:NIB,
author = "R. Jan and M. Chern",
title = "Nonlinear integer bilevel programming",
journal = j-euro-op-res,
volume = "72",
pages = "574--587",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Judice:1994:LQB,
author = "J. J\'udice and A. Faustino",
title = "The linear-quadratic bilevel programming problem",
journal = j-infor,
volume = "32",
pages = "87--98",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Liu:1994:COS,
author = "Y. Liu and S. Hart",
title = "Characterizing an optimal solution to the linear
bilevel programming problem",
journal = j-euro-op-res,
volume = "73",
pages = "164--166",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Mathieu:1994:GAB,
author = "R. Mathieu and L. Pittard and G. Anandalingam",
title = "Genetic algorithm based approach to bi-level linear
programming",
journal = j-res-op,
volume = "28",
pages = "1--21",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@TechReport{Migdalas:1994:WSE,
author = "A. Migdalas",
title = "When is a {Stackelberg} equilibrium {Pareto}
optimum?",
number = "LiTH-MAT-R-1994-19",
institution = inst-lit-math,
address = inst-lit-math:adr,
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Outrata:1994:OPV,
author = "J. Outrata",
title = "On optimization problems with variational inequality
constraints",
journal = j-siam-opt,
volume = "4",
pages = "340--357",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Savard:1994:SDD,
author = "G. Savard and J. Gauvin",
title = "The steepest descent direction for the nonlinear
bilevel programming problem",
journal = j-or-let,
volume = "15",
pages = "275--282",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
}
@Article{Tuy:1994:QMM,
author = "H. Tuy and A. Migdalas and P. V{\"{a}}rbrand",
title = "A quasiconcave minimization method for solving linear
two-level programs",
journal = j-glob-opt,
volume = "4",
pages = "243--263",
year = "1994",
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acknowledgement = ack-nhfb,
}