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Volumn 92, Issue 2, 1996, Pages 310-325

Linear programming for the 0-1 quadratic knapsack problem

Author keywords

Branch and bound; Computational analysis; Knapsack problem; Linearization; Zero one quadratic programming

Indexed keywords

ALGORITHMS; BOOLEAN FUNCTIONS; CALCULATIONS; COMPUTATIONAL METHODS; CONSTRAINT THEORY; HEURISTIC METHODS; LINEAR PROGRAMMING; LINEARIZATION; PROBLEM SOLVING;

EID: 0030189996     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(94)00229-0     Document Type: Article
Times cited : (86)

References (20)
  • 1
    • 0022795228 scopus 로고
    • A tight linearization and an algorithm for zero-one quadratic programming problems
    • Adams, W.P., and Sherali, H.D. (1986), "A tight linearization and an algorithm for zero-one quadratic programming problems", Management Science 32/10, 1274-1290.
    • (1986) Management Science , vol.32 , Issue.10 , pp. 1274-1290
    • Adams, W.P.1    Sherali, H.D.2
  • 5
    • 0021133826 scopus 로고
    • The indefinite zero-one quadratic problem
    • Carter, M.W. (1984), "The indefinite zero-one quadratic problem", Discrete Applied Mathematics 7, 23-44.
    • (1984) Discrete Applied Mathematics , vol.7 , pp. 23-44
    • Carter, M.W.1
  • 6
    • 11544340246 scopus 로고
    • Best network flow bound for the quadratic knapsack problem
    • Pisa, Italy
    • Chaillou, P., Hansen, P., and Mahieu, Y. (1983), "Best network flow bound for the Quadratic Knapsack Problem", presented at NETFLOW 83 International Workshop, Pisa, Italy.
    • (1983) NETFLOW 83 International Workshop
    • Chaillou, P.1    Hansen, P.2    Mahieu, Y.3
  • 7
    • 0007427174 scopus 로고
    • A decomposition method for quadratic 0-1 programming
    • Chardaire, P., and Sutter, A. (1995), "A decomposition method for quadratic 0-1 programming", Management Science 41/4, 704-712.
    • (1995) Management Science , vol.41 , Issue.4 , pp. 704-712
    • Chardaire, P.1    Sutter, A.2
  • 8
    • 0005694959 scopus 로고
    • On the supermodular knapsack problem
    • Gallo, G., and Simeone, B. (1988), "On the Supermodular Knapsack Problem", Mathematical Programming 45, 295-309.
    • (1988) Mathematical Programming , vol.45 , pp. 295-309
    • Gallo, G.1    Simeone, B.2
  • 9
    • 0024610615 scopus 로고
    • A fast parametric maximum flow algorithm and application
    • Gallo, G., Grigoriadis, M.D., and Tarjan, R.E., (1989), "A fast parametric maximum flow algorithm and application", SIAM Journal on Computing 18/1, 30-35.
    • (1989) SIAM Journal on Computing , vol.18 , Issue.1 , pp. 30-35
    • Gallo, G.1    Grigoriadis, M.D.2    Tarjan, R.E.3
  • 11
    • 0021376406 scopus 로고
    • Roof duality, complementation and persistency in quadratic 0-1 optimization
    • Hammer, P.L., Hansen, P., and Simeone, B. (1984), "Roof duality, complementation and persistency in quadratic 0-1 optimization", Mathematical Programming 28, 121-155.
    • (1984) Mathematical Programming , vol.28 , pp. 121-155
    • Hammer, P.L.1    Hansen, P.2    Simeone, B.3
  • 12
    • 77957783608 scopus 로고
    • Methods of non-linear 0-1 programming
    • Hansen, P. (1979), "Methods of non-linear 0-1 programming", Annals of Discrete Mathematics 5, 53-70.
    • (1979) Annals of Discrete Mathematics , vol.5 , pp. 53-70
    • Hansen, P.1
  • 13
    • 0040406148 scopus 로고
    • A new bound for the quadratic knapsack problem and its use in a branch and bound algorithm
    • Körner, F. (1986), "A new bound for the quadratic knapsack problem and its use in a branch and bound algorithm", Optimization 17, 643-648.
    • (1986) Optimization , vol.17 , pp. 643-648
    • Körner, F.1
  • 14
    • 0039754646 scopus 로고
    • Quadratic binary programming with applications to capital budgeting problems
    • Laughhunn, D.J. (1970), "Quadratic binary programming with applications to capital budgeting problems", Operations Research 18, 454-461.
    • (1970) Operations Research , vol.18 , pp. 454-461
    • Laughhunn, D.J.1
  • 15
    • 0001149611 scopus 로고
    • Lagrangean methods for 0-1 quadratic programming
    • Michelon, P., and Maculan, N. (1993), "Lagrangean methods for 0-1 quadratic programming", Discrete Applied Mathematics 42/2-3, 257-269.
    • (1993) Discrete Applied Mathematics , vol.42 , Issue.2-3 , pp. 257-269
    • Michelon, P.1    Maculan, N.2
  • 17
    • 0025673487 scopus 로고
    • Computational aspects of a branch and bound algorithm for quadratic zero-one programming
    • Pardalos, P.M., and Rodgers, G. (1990), "Computational aspects of a branch and bound algorithm for quadratic zero-one programming", Computing 45, 131-144.
    • (1990) Computing , vol.45 , pp. 131-144
    • Pardalos, P.M.1    Rodgers, G.2
  • 18
    • 0018454917 scopus 로고
    • Assignment of tasks in a distributed processor system with limited memory
    • Rao, G.S., Stone, H.S., and Hu, T.C. (1979), "Assignment of tasks in a distributed processor system with limited memory", IEEE Transactions on Computers 28/4, 291-299.
    • (1979) IEEE Transactions on Computers , vol.28 , Issue.4 , pp. 291-299
    • Rao, G.S.1    Stone, H.S.2    Hu, T.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.