메뉴 건너뛰기




Volumn , Issue , 2005, Pages 191-217

Bilevel programming: A combinatorial perspective

Author keywords

[No Author keywords available]

Indexed keywords


EID: 27744608095     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-25592-3_7     Document Type: Chapter
Times cited : (36)

References (39)
  • 2
    • 84892236850 scopus 로고    scopus 로고
    • Optimisation globale structurke : proprikths
    • Ph.D. thesis, c o l Peo lytechnique de Montrkal
    • Audet, C. (1997). Optimisation globale structurke : proprikths, kquivalences et rksolution. Ph.D. thesis, c o l Peo lytechnique de Montrkal.
    • (1997) Kquivalences et Rksolution
    • Audet, C.1
  • 4
    • 0343137998 scopus 로고    scopus 로고
    • A Symmetrical linear maxmin approach to disjoint bilinear programming
    • Audet, C., Hansen, P., Jaumard, B., and Savard, G. (1999). A Symmetrical linear maxmin approach to disjoint bilinear programming. Mathematical Programming, 85:573-592.
    • (1999) Mathematical Programming , vol.85 , pp. 573-592
    • Audet, C.1    Hansen, P.2    Jaumard, B.3    Savard, G.4
  • 6
    • 0039067393 scopus 로고
    • Mixed integer programming by a branch and bound technique
    • Beale, E. and Small, R. (1965). Mixed integer programming by a branch and bound technique. In: Proceedings of the 3rd IFIP Congress. pp. 450-451.
    • (1965) Proceedings of the 3rd IFIP Congress , pp. 450-451
    • Beale, E.1    Small, R.2
  • 7
    • 0041635347 scopus 로고
    • Technical Report 20, World Bank Development Research Center, Washington, DC
    • Candler, W. and Norton, R. (1977). Multilevel programing. Technical Report 20, World Bank Development Research Center, Washington, DC.
    • (1977) Multilevel Programing
    • Candler, W.1    Norton, R.2
  • 8
    • 0347777692 scopus 로고    scopus 로고
    • A bilevel modeling approach to pricing and fare optimization in the airline industry
    • C6t6, J.-P., Marcotte, P., and Savard, G. (2003). A bilevel modeling approach to pricing and fare optimization in the airline industry. Journal of Revenue and Pricing Management, 2:23-36.
    • (2003) Journal of Revenue and Pricing Management , vol.2 , pp. 23-36
    • Cete, J.-P.1    Marcotte, P.2    Savard, G.3
  • 9
    • 0000454153 scopus 로고
    • Solution of a largescale traveling salesman problem
    • Dantzig, G., Fulkerson, D., and Johnson, S. (1954). Solution of a largescale traveling salesman problem. Operations Research, 2:393-410.
    • (1954) Operations Research , vol.2 , pp. 393-410
    • Dantzig, G.1    Fulkerson, D.2    Johnson, S.3
  • 10
    • 17444421918 scopus 로고    scopus 로고
    • Foundations of bilevel programming
    • Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Dempe, S. (2002). Foundations of Bilevel Programming. Nonconvex Optimization and Its Applications, vol. 61. Kluwer Academic Publishers, Dordrecht, The Netherlands.
    • (2002) Nonconvex Optimization and Its Applications , vol.61
    • Dempe, S.1
  • 11
    • 0002279446 scopus 로고
    • Improvements and extensions to the Miller-'Tucker-Zemlin subtour elimination constraints
    • Desrochers, M. and Laporte, G. (1991). Improvements and extensions to the Miller-'Tucker-Zemlin subtour elimination constraints. Operations Research Letters, 10:27-36.
    • (1991) Operations Research Letters , vol.10 , pp. 27-36
    • Desrochers, M.1    Laporte, G.2
  • 12
    • 0002638527 scopus 로고
    • The traveling salesman problem
    • Flood, M. (1956). The traveling salesman problem. Operations Research, 4:61-75.
    • (1956) Operations Research , vol.4 , pp. 61-75
    • Flood, M.1
  • 13
    • 0026763569 scopus 로고
    • Equivalent differentiable optimization problems and descent methods for asymrnetric variational inequality problems
    • Fukushima, M. (1992). Equivalent differentiable optimization problems and descent methods for asymrnetric variational inequality problems. Mathematical Programming, 53:99-110.
    • (1992) Mathematical Programming , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 14
    • 0000181946 scopus 로고    scopus 로고
    • Complementarity constraint qualifications and simplified B-stationarity conditions for mathematical programs with equilibrium constraints
    • Fukushima, M. and Pang, J. (1999). Complementarity constraint qualifications and simplified B-stationarity conditions for mathematical programs with equilibrium constraints. Computational Optimization and Applications, 13: 11 1-136.
    • (1999) Computational Optimization and Applications , vol.13 , pp. 111-136
    • Fukushima, M.1    Pang, J.2
  • 18
    • 0001683067 scopus 로고
    • Point-to-set maps in mathematical programming
    • Hogan, W. (1973). Point-to-set maps in mathematical programming. SIAM Review, 15:591-603.
    • (1973) SIAM Review , vol.15 , pp. 591-603
    • Hogan, W.1
  • 19
    • 0022077119 scopus 로고
    • The polynomial hierarchy and a simple model for competitive analysis
    • Jeroslow, R. (1985). The polynomial hierarchy and a simple model for competitive analysis. Mathematical Programming, 32:146-164.
    • (1985) Mathematical Programming , vol.32 , pp. 146-164
    • Jeroslow, R.1
  • 20
    • 29444442588 scopus 로고
    • Bilinear programming
    • Technical Report Technical Report No. Operations Research House, Department of Operations Research, Stanford University, Stanford
    • Konno, H. (1971). Bilinear Programming. 11. Applications of Bilinear Programming. Technical Report Technical Report No. 71-10, Operations Research House, Department of Operations Research, Stanford University, Stanford.
    • (1971) Applications of Bilinear Programming , vol.11 , pp. 71-10
    • Konno, H.1
  • 21
    • 84973040551 scopus 로고
    • On optimization of systems governed by implicit complementarity problems
    • KoEvara, M. and Outrata, J. (1994). On optimization of systems governed by implicit complementarity problems. Numerical Functional Analysis and Optimization, 152369-887.
    • (1994) Numerical Functional Analysis and Optimization , pp. 152369-152887
    • Koevara, M.1    Outrata, J.2
  • 22
    • 0032295962 scopus 로고    scopus 로고
    • A bilevel model of taxation and its applications to optimal highway pricing
    • Labb6, M., Marcotte, P., and Savard, G. (1998). A bilevel model of taxation and its applications to optimal highway pricing. Management Science, 44:1608-1622.
    • (1998) Management Science , vol.44 , pp. 1608-1622
    • Labbe, M.1    Marcotte, P.2    Savard, G.3
  • 23
    • 0001719328 scopus 로고    scopus 로고
    • Weak via strong Stackelberg problem: New results
    • Loridan, P. and Morgan, J. (1996). Weak via strong Stackelberg problem: New results. Journal of Global Optimization, 8:263-287.
    • (1996) Journal of Global Optimization , vol.8 , pp. 263-287
    • Loridan, P.1    Morgan, J.2
  • 25
    • 0346910306 scopus 로고    scopus 로고
    • A bilevel programming approach to the travelling salesman problem
    • Marcotte, P., Savard, G., and Semet, F. (2003). A bilevel programming approach to the travelling salesman problem. Operations Research Letters, 32:240-248.
    • (2003) Operations Research Letters , vol.32 , pp. 240-248
    • Marcotte, P.1    Savard, G.2    Semet, F.3
  • 26
    • 0035507146 scopus 로고    scopus 로고
    • A trust region algorithm for nonlinear bilevel programming
    • Marcotte, P., Savard, G., and Zhu, D. (2001). A trust region algorithm for nonlinear bilevel programming. Operations Research Letters, 29:171-179.
    • (2001) Operations Research Letters , vol.29 , pp. 171-179
    • Marcotte, P.1    Savard, G.2    Zhu, D.3
  • 28
    • 0001730497 scopus 로고
    • Noncooperative games
    • Nash, J. (1951). Noncooperative games. Annals of Mathematics, 14:286-295.
    • (1951) Annals of Mathematics , vol.14 , pp. 286-295
    • Nash, J.1
  • 29
    • 0023961375 scopus 로고
    • Checking local optimality in constrained qu adratic programming is NP-hard
    • Pardalos, P. and Schnitger, G. (1988). Checking local optimality in constrained qu adratic programming is NP-hard. Operations Research Letters, 7:33-35.
    • (1988) Operations Research Letters , vol.7 , pp. 33-35
    • Pardalos, P.1    Schnitger, G.2
  • 32
    • 10844243072 scopus 로고    scopus 로고
    • Nonconvex structures in nonlinear programming
    • Scholtes, S. (2004). Nonconvex structures in nonlinear programming. Operations Research, 52:368-383.
    • (2004) Operations Research , vol.52 , pp. 368-383
    • Scholtes, S.1
  • 33
    • 0344718017 scopus 로고    scopus 로고
    • Exact penalization of mathematical programs with equilibrium constraints
    • Scholtes, S. and Stohr, M. (1999). Exact penalization of mathematical programs with equilibrium constraints. SIAM Journal on Control and Optimization, 37:(2):617-652.
    • (1999) SIAM Journal on Control and Optimization , vol.37 , Issue.2 , pp. 617-652
    • Scholtes, S.1    Stohr, M.2
  • 36
    • 84892287150 scopus 로고    scopus 로고
    • TSPLIB. A library of traveling salesman problems. Available at
    • TSPLIB. A library of traveling salesman problems. Available at http: //www . iwr .uni-heidelberg . de/groups/comopt/sof tware/ TSPLIB95.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.