The integer linear complementarity problem

References

• Bershchanskii , Y. M. and Meerov , M. V. 1983 . The complementarity problem: Theory and methods of solution . Automation and Remote Control , 44 ( 6 ) : 687 – 710 . Part I
   Web of Science ®Google Scholar
• Cottle , R. W. and Dantzig , G. B. 1968 . “ Complementarity pivot theory of mathematical programming ” . In Mathematics of the Decision Sciences , Edited by: Dantzig , G. B. and Veinott , A. F. Jr. 115 – 136 . American Mathematical Society . Part I
   Google Scholar
• Crowder , H. , Johnson , E. L. and Padberg , M. W. 1982 . Solving large-scale zero-one linear programming problems . Operations Research , 31 : 803 – 834 .
   Google Scholar
• Dresher , M. 1970 . Probability of a pure equilibrium point in n-person games . Journal of Combinatorial Theory , 8 : 134 – 145 .
   Google Scholar
• Driebeek , N. J. 1966 . An algorithm for the solution of mixed integer programming problems . Management Science , 12 : 576 – 587 .
   Google Scholar
• Geoffrion , A. M. and Marsten , R. E. 1972 . Integer programming algorithms: A framework and a state of the art survey . Management Science , 18 : 465 – 491 .
   Web of Science ®Google Scholar
• Howson , J. T. Jr. 1972 . Equilibria of polymatrix games . Management Science , 18 ( 5 ) : 312 – 318 .
   Web of Science ®Google Scholar
• Jones P. C. Theise E. S. On the Equivalence of Competitive Transportation Markets and Congestion in Spatial Equilibrium Models Dept. of Industr. Eng. and Manag. Sci. Northwestern Univ. Evanston, Illinois Technical report 87-02
   Google Scholar
• Lemke , C. E. 1980 . “ A survey of complementarity theory ” . In Variational Inequalities and Complementarity Problems: Theory and Applications , Edited by: Cottle , R. W. , Giannessi , F. and Lions , J. I. 213 – 239 . New York : Wiley .
   Google Scholar
• Mangasarian , O. L. 1985 . Simple computable bounds for solutions of linear complementarity problems and linear programs . Maths Programming Study , 25 : 1 – 12 .
   Google Scholar
• Manne , A. October 1985 . “ Economic equilibrium: Model formulation and solution ” . In Mathematical Programming Study 23 , October , Amsterdam, , The Netherlands : North-Holland .
   Google Scholar
• Marsten , R. Feb 1987 . User's Manual for: ZOOM/XMP, Dept. of Management Inf. Systems , Feb , University of Arizona .
   Google Scholar
• Mas-Collel , A. 1977 . Indivisible commodities and general equilibrium theory . Journal of Economic Theory , 16 : 443 – 456 .
   Google Scholar
• Nagurney , A. 1987 . Competitive equilibrium problems, variational inequalities, and regional science . Journal of Regional Science , 27 ( 4 ) : 503 – 518 .
   Web of Science ®Google Scholar
• Pardalos , P. M. 1988 . Linear complementarity problems solvable by integer programming . Optimization , 19 : 467 – 474 .
   Google Scholar
• Pardalos , P. M. and Rosen , J. B. 1987 . Bounds for the solution set of linear complementarity problems . Discrete Applied Mathematics , 17 : 255 – 261 .
   Google Scholar
• Pardalos , P. M. and Rosen , J. B. 1988 . Global optimization approach to the linear complementarity problem . SIAM. Scient. Stat Computing , 9 ( 3 ) : 341 – 353 .
   Google Scholar
• Rosental , R. W. 1972 . The network equilibrium problem in integers . Networks , : 53 – 59 .
   Google Scholar
• Takayama , T. and Judge , G. G. 1971 . Spatial and Temporal Price and Allocation Models , Amsterdam, , The Netherlands : North-Holland .
   Google Scholar
• Van Roy , T. J. and Wolsey , L. A. 1987 . Solving mixed integer programming problems using automatic reformulation . Operations Research , 35 ( 1 ) : 45 – 57 .
   Web of Science ®Google Scholar