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Volumn 16, Issue 3, 2000, Pages 245-255

A Note on a Penalty Function Approach for Solving Bilevel Linear Programs

Author keywords

Bilevel linear programming; Global optimization; Penalty function

Indexed keywords


EID: 18344418693     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008308218364     Document Type: Article
Times cited : (28)

References (15)
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    • (1990) IEEE Transactions on Automatic Control , vol.35 , Issue.10 , pp. 1170-1173
    • Anandalingam, G.1    White, D.J.2
  • 4
    • 0021479189 scopus 로고
    • Two-Level Linear Programming
    • Bialas, W.F. and Karwan, M.H. (1984), Two-Level Linear Programming, Management Science 30(8): 1004-1020.
    • (1984) Management Science , vol.30 , Issue.8 , pp. 1004-1020
    • Bialas, W.F.1    Karwan, M.H.2
  • 5
    • 26144480734 scopus 로고    scopus 로고
    • A Note on a Penalty Function Approach for Solving Bi-Level Linear Programs
    • Engenharia de Sistemas e Computação, Universidade Federal do Rio de Janeiro
    • Campêlo, M., Dantas, S. and Scheimberg, S. (1998), A Note on a Penalty Function Approach for Solving Bi-Level Linear Programs, Tech. Report ES-467/98, Engenharia de Sistemas e Computação, Universidade Federal do Rio de Janeiro.
    • (1998) Tech. Report ES-467/98
    • Campêlo, M.1    Dantas, S.2    Scheimberg, S.3
  • 6
    • 0346760588 scopus 로고
    • Some Properties of Redundant Constraints and Extraneous Variables in Direct and Dual Linear Programming Problems
    • Charnes, A., Cooper, W.W. and Thompson, G.L. (1962), Some Properties of Redundant Constraints and Extraneous Variables in Direct and Dual Linear Programming Problems, Operations Reserach 10(5): 711-723.
    • (1962) Operations Reserach , vol.10 , Issue.5 , pp. 711-723
    • Charnes, A.1    Cooper, W.W.2    Thompson, G.L.3
  • 7
    • 0010136361 scopus 로고
    • A Simple Algorithm for the Linear Bilevel Programming Problem
    • Dempe, S. (1987), a Simple Algorithm for the Linear Bilevel Programming Problem, Optimization 18: 373-385.
    • (1987) Optimization , vol.18 , pp. 373-385
    • Dempe, S.1
  • 10
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafeller, R.T. (1970), Convex Analysis, Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafeller, R.T.1
  • 11
    • 0006705862 scopus 로고
    • Concave Programming under Linear Constraints
    • Tuy, H. (1964), Concave Programming under Linear Constraints, Doklady Academii Nauk SSSR 158: 32-35 [English version: Soviet Mathematics 5: 1437-1440].
    • (1964) Doklady Academii Nauk SSSR , vol.158 , pp. 32-35
    • Tuy, H.1
  • 12
    • 0348021666 scopus 로고    scopus 로고
    • English version
    • Tuy, H. (1964), Concave Programming under Linear Constraints, Doklady Academii Nauk SSSR 158: 32-35 [English version: Soviet Mathematics 5: 1437-1440].
    • Soviet Mathematics , vol.5 , pp. 1437-1440
  • 13
    • 0001915878 scopus 로고
    • A Global Optimization Approach for the Linear Two-Level Program
    • Tuy, H., Migdalas, A. and Värbrand, P. (1993), A Global Optimization Approach for the Linear Two-Level Program, Journal of Global Optimization 3: 1-23.
    • (1993) Journal of Global Optimization , vol.3 , pp. 1-23
    • Tuy, H.1    Migdalas, A.2    Värbrand, P.3
  • 14
    • 0000527046 scopus 로고
    • Bilevel and Multilevel Programming: A Bibliography Review
    • Vicente, L.N. and Calamai, P.H. (1994), Bilevel and Multilevel Programming: a Bibliography Review, Journal of Global Optimization 5(3): 291-306.
    • (1994) Journal of Global Optimization , vol.5 , Issue.3 , pp. 291-306
    • Vicente, L.N.1    Calamai, P.H.2
  • 15
    • 0000138482 scopus 로고
    • A Penalty Function Approach for Solving Bi-Level Linear Programs
    • White, D.J. and Anandalingam, G. (1993), A Penalty Function Approach for Solving Bi-Level Linear Programs, Journal of Global Optimization 3: 397-419.
    • (1993) Journal of Global Optimization , vol.3 , pp. 397-419
    • White, D.J.1    Anandalingam, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.