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Volumn 108, Issue 3, 1998, Pages 671-683

Mixed-integer column generation algorithms and the probabilistic maximum satisfiability problem

Author keywords

Column generation; Linear programming; Maximum satisfiability; Mixed integer programming; Probabilistic satisfiability

Indexed keywords

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMBINATORIAL MATHEMATICS; COMPUTATIONAL GRAMMARS; LINEAR PROGRAMMING; PROBABILITY; PROBLEM SOLVING;

EID: 0032143812     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)00059-3     Document Type: Article
Times cited : (6)

References (32)
  • 2
    • 0023389518 scopus 로고
    • An algebraic synthesis of the foundations of logic and probability
    • P. Calabrese, An algebraic synthesis of the foundations of logic and probability, Information Sciences 42 (1987) 187-237.
    • (1987) Information Sciences , vol.42 , pp. 187-237
    • Calabrese, P.1
  • 4
    • 38249018098 scopus 로고
    • The basic algorithm for pseudo-Boolean programming revisited
    • Y. Crama, P. Hansen, B. Jaumard, The basic algorithm for pseudo-Boolean programming revisited, Discrete Applied Mathematics 19 (1990) 171-186.
    • (1990) Discrete Applied Mathematics , vol.19 , pp. 171-186
    • Crama, Y.1    Hansen, P.2    Jaumard, B.3
  • 6
    • 0000039065 scopus 로고
    • The decomposition algorithm for linear programming
    • G.B. Dantzig, P. Wolfe, The decomposition algorithm for linear programming, Econometrica 29 (1961) 767-778.
    • (1961) Econometrica , vol.29 , pp. 767-778
    • Dantzig, G.B.1    Wolfe, P.2
  • 7
    • 0021691757 scopus 로고
    • Routing with time windows by column generation
    • J. Desrosiers, F. Soumis, M. Desrochers, Routing with time windows by column generation, Networks 14 (1984) 545-565.
    • (1984) Networks , vol.14 , pp. 545-565
    • Desrosiers, J.1    Soumis, F.2    Desrochers, M.3
  • 8
    • 0002814836 scopus 로고
    • A column generation approach to the urban transit crew scheduling problem
    • M. Desrochers, F. Soumis, A column generation approach to the urban transit crew scheduling problem, Transportation Science 23 (1989) 1-13.
    • (1989) Transportation Science , vol.23 , pp. 1-13
    • Desrochers, M.1    Soumis, F.2
  • 9
    • 0000181889 scopus 로고
    • On nonlinear fractional programming
    • W. Dinkelbach, On nonlinear fractional programming, Management Science 13 (1967) 492-498.
    • (1967) Management Science , vol.13 , pp. 492-498
    • Dinkelbach, W.1
  • 12
    • 0001510482 scopus 로고
    • A linear programming approach to the cutting stock problem
    • P.C. Gilmore, R.E. Gomory, A linear programming approach to the cutting stock problem. Operations Research 9 (1961) 849-859.
    • (1961) Operations Research , vol.9 , pp. 849-859
    • Gilmore, P.C.1    Gomory, R.E.2
  • 14
    • 0001139257 scopus 로고
    • Best possible inequalities for the probability of a logical function of events
    • T. Hailperin, Best possible inequalities for the probability of a logical function of events, American Mathematical Monthly 72 (1965) 343-359.
    • (1965) American Mathematical Monthly , vol.72 , pp. 343-359
    • Hailperin, T.1
  • 17
    • 0025260212 scopus 로고
    • Algorithms for the maximum satisfiability problem
    • P. Hansen, B. Jaumard, Algorithms for the maximum satisfiability problem, Computing 44 (1990) 279-303.
    • (1990) Computing , vol.44 , pp. 279-303
    • Hansen, P.1    Jaumard, B.2
  • 20
    • 85033890900 scopus 로고    scopus 로고
    • Weight constrained minimum sum-of-stars clustering
    • G-93-38, submitted for publication
    • P. Hansen, B. Jaumard, E. Sanlaville, Weight constrained minimum sum-of-stars clustering, Les Cahiers du GERAD, G-93-38, submitted for publication.
    • Les Cahiers du GERAD
    • Hansen, P.1    Jaumard, B.2    Sanlaville, E.3
  • 26
    • 0019656608 scopus 로고
    • The design of the XMP linear programming library
    • R.E. Marsten, The design of the XMP linear programming library, ACM Transactions on Mathematical Software 7 (4) (1981) 481-497.
    • (1981) ACM Transactions on Mathematical Software , vol.7 , Issue.4 , pp. 481-497
    • Marsten, R.E.1
  • 29
    • 0024701459 scopus 로고
    • An optimal column-generation with ranking algorithm for very large scale set partitioning problems in traffic assignment
    • C.C. Ribeiro, M. Minoux, C. Penna, An optimal column-generation with ranking algorithm for very large scale set partitioning problems in traffic assignment, European Journal of Operational Research 41 (1989) 232-239.
    • (1989) European Journal of Operational Research , vol.41 , pp. 232-239
    • Ribeiro, C.C.1    Minoux, M.2    Penna, C.3
  • 31
    • 0010651201 scopus 로고
    • A candle to St Jude, or four real-world applications of integer programming
    • R.E.D. Woolsey, A candle to St Jude, or four real-world applications of integer programming. Interfaces 2 (1972) 20-27.
    • (1972) Interfaces , vol.2 , pp. 20-27
    • Woolsey, R.E.D.1
  • 32
    • 0020249926 scopus 로고
    • Polynomial algorithms for estimating network reliability
    • E. Zemel, Polynomial algorithms for estimating network reliability. Networks 12 (4) (1982) 439-452.
    • (1982) Networks , vol.12 , Issue.4 , pp. 439-452
    • Zemel, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.