메뉴 건너뛰기




Volumn 188, Issue 2, 2007, Pages 1686-1698

The Kth-best approach for linear bilevel multifollower programming with partial shared variables among followers

Author keywords

Kth best approach; Linear bilevel programming; Mulitfollower; Von Stackelberg game

Indexed keywords

DECISION THEORY; NUMERICAL METHODS; PROBLEM SOLVING; THEOREM PROVING;

EID: 34248153129     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.176     Document Type: Article
Times cited : (22)

References (19)
  • 4
    • 0021479189 scopus 로고
    • Two-level linear programming
    • Bialas W., and Karwan M. Two-level linear programming. Management Science 30 (1984) 1004-1020
    • (1984) Management Science , vol.30 , pp. 1004-1020
    • Bialas, W.1    Karwan, M.2
  • 5
    • 0019937742 scopus 로고
    • An explicit solution to the multi-level programming problem
    • Bard J., and Falk J. An explicit solution to the multi-level programming problem. Computers and Operations Research 9 (1982) 77-100
    • (1982) Computers and Operations Research , vol.9 , pp. 77-100
    • Bard, J.1    Falk, J.2
  • 6
    • 34248215029 scopus 로고    scopus 로고
    • W. Bialas, M. Karwan, Multilevel linear programming, Technical Report 78-1, State University of New York at Buffalo, Operations Research Program, 1978.
  • 8
    • 34248138324 scopus 로고    scopus 로고
    • W. Bialas, M. Karwan, J. Shaw, A parametric complementary pivot approach for two-level linear programming, Technical Report 80-2, State University of New York at Buffalo, Operations Research Program, 1980.
  • 9
    • 0019583841 scopus 로고
    • Hierarchical decentralized systems and its new solution by a barrier method
    • Aiyoshi E., and Shimizu K. Hierarchical decentralized systems and its new solution by a barrier method. IEEE Transactions on Systems, Man and Cybernetics 11 (1981) 444-449
    • (1981) IEEE Transactions on Systems, Man and Cybernetics , vol.11 , pp. 444-449
    • Aiyoshi, E.1    Shimizu, K.2
  • 10
    • 0000138482 scopus 로고
    • A penalty function approach for solving bi-level linear programs
    • White D., and Anandalingam G. A penalty function approach for solving bi-level linear programs. Journal of Global Optimization 3 (1993) 397-419
    • (1993) Journal of Global Optimization , vol.3 , pp. 397-419
    • White, D.1    Anandalingam, G.2
  • 11
    • 8344269405 scopus 로고    scopus 로고
    • On the definition of linear bilevel programming solution
    • Shi C., Zhang G., and Lu J. On the definition of linear bilevel programming solution. Applied Mathematics and Computation 160 (2005) 169-176
    • (2005) Applied Mathematics and Computation , vol.160 , pp. 169-176
    • Shi, C.1    Zhang, G.2    Lu, J.3
  • 12
    • 16344368494 scopus 로고    scopus 로고
    • An extended Kth-best approach for linear bilevel programming
    • Shi C., Zhang G., and Lu J. An extended Kth-best approach for linear bilevel programming. Applied Mathematics and Computation 164 (2005) 843-855
    • (2005) Applied Mathematics and Computation , vol.164 , pp. 843-855
    • Shi, C.1    Zhang, G.2    Lu, J.3
  • 13
    • 10444259744 scopus 로고    scopus 로고
    • An extended Kuhn-Tucker approach for linear bilevel programming
    • Shi C., Lu J., and Zhang G. An extended Kuhn-Tucker approach for linear bilevel programming. Applied Mathematics and Computation 162 (2005) 51-63
    • (2005) Applied Mathematics and Computation , vol.162 , pp. 51-63
    • Shi, C.1    Lu, J.2    Zhang, G.3
  • 14
    • 33748955185 scopus 로고    scopus 로고
    • An extended branch and bound algorithm for linear bilevel programming
    • Shi C., Zhang G., Lu J., and Zhou H. An extended branch and bound algorithm for linear bilevel programming. Applied Mathematics and Computation 180 (2006) 529-537
    • (2006) Applied Mathematics and Computation , vol.180 , pp. 529-537
    • Shi, C.1    Zhang, G.2    Lu, J.3    Zhou, H.4
  • 15
    • 34248148447 scopus 로고    scopus 로고
    • J. Lu, C. Shi, G. Zhang, Model and algorithm for bilevel multi-follower programming with individual variables and shared information among followers, Journal of Global Optimization, in press.
  • 16
    • 28044450156 scopus 로고    scopus 로고
    • The Kth-best approach for linear bilevel multi-follower programming
    • Shi C., Zhang G., and Lu J. The Kth-best approach for linear bilevel multi-follower programming. International Journal of Global Optimization 33 4 (2005) 563-578
    • (2005) International Journal of Global Optimization , vol.33 , Issue.4 , pp. 563-578
    • Shi, C.1    Zhang, G.2    Lu, J.3
  • 17
    • 34248218956 scopus 로고    scopus 로고
    • C. Shi, J. Lu, G. Zhang, A branch and bound algorithm for linear bilevel multi-follower programming, Journal of the Operational Research Society, in press.
  • 18
    • 34248177214 scopus 로고    scopus 로고
    • C. Shi, J. Lu, G. Zhang, H. Zhou, An extended Kuhn-Tucker approach for linear bilevel multifollower programming with partial shared among followers, IEEE SMC'05, The Big Island, Hawaii, USA, submitted for publication.
  • 19
    • 34248198263 scopus 로고    scopus 로고
    • University of Cambridge, http://thesaurus.maths.org/dictionary/map/word/10037, 2001.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.