메뉴 건너뛰기




Volumn 4, Issue 4, 2010, Pages 434-449

Solution of multidimensional knapsack problems via cooperation of dynamic programming and branch and bound

Author keywords

Branch and bound; Cooperative method; Dynamic programming; MKP; Multidimensionnal knapsack problem

Indexed keywords

COMBINATORIAL OPTIMIZATION; DYNAMIC PROGRAMMING; HEURISTIC METHODS;

EID: 77958460910     PISSN: 17515254     EISSN: 17515262     Source Type: Journal    
DOI: 10.1504/EJIE.2010.035653     Document Type: Article
Times cited : (19)

References (26)
  • 2
    • 0003787146 scopus 로고
    • Princeton University Press Princeton
    • Bellman, R. (1957) Dynamic Programming, Princeton University Press, Princeton.
    • (1957) Dynamic Programming
    • Bellman, R.1
  • 3
    • 0036541179 scopus 로고    scopus 로고
    • An approximate dynamic-programming approach to multidimensional knapsack problem
    • Bertsimas, D. and Demir, R. (2002) 'An approximate dynamic-programming approach to multidimensional knapsack problem', Management Science, Vol. 4, pp.550-565.
    • (2002) Management Science , vol.4 , pp. 550-565
    • Bertsimas, D.1    Demir, R.2
  • 5
    • 56249123323 scopus 로고    scopus 로고
    • An efficient heuristics for the multidimensional knapsack problem
    • Presses Universitaires de Valenciennes
    • Boyer, V., El Baz, D. and Elkihel, M. (2006) 'An efficient heuristics for the multidimensional knapsack problem', ROADEF'06, Presses Universitaires de Valenciennes, pp.95-106.
    • (2006) ROADEF'06 , pp. 95-106
    • Boyer, V.1    El Baz, D.2    Elkihel, M.3
  • 6
    • 67349179620 scopus 로고    scopus 로고
    • Heuristics for the 0-1 multidimensional knapsack problem
    • doi: 10.1016/j.ejor.2007.06.068
    • Boyer, V., El Baz, D. and Elkihel, M. (2008) 'Heuristics for the 0-1 multidimensional knapsack problem', European Journal of Operational Research, doi: 10.1016/j.ejor.2007.06.068.
    • (2008) European Journal of Operational Research
    • Boyer, V.1    El Baz, D.2    Elkihel, M.3
  • 9
    • 0348170707 scopus 로고    scopus 로고
    • The multidimensional 0-1 knapsack problem: An overview
    • Fréville, A. (2004) 'The multidimensional 0-1 knapsack problem: an overview', European Journal of Operational Research, Vol. 155, pp.1-21.
    • (2004) European Journal of Operational Research , vol.155 , pp. 1-21
    • Fréville, A.1
  • 10
    • 0027642396 scopus 로고
    • An exact search for the solution of the surrogate dual of the 0-1 bidimensional knapsack problem
    • Fréville, A. and Plateau, G. (1993) 'An exact search for the solution of the surrogate dual of the 0-1 bidimensional knapsack problem', European Journal of Operational Research, Vol. 68, pp.413-421.
    • (1993) European Journal of Operational Research , vol.68 , pp. 413-421
    • Fréville, A.1    Plateau, G.2
  • 11
    • 38149146140 scopus 로고
    • An efficient preprocessing procedure for the multidimensional 0-1 knapsack problem
    • Fréville, A. and Plateau, G. (1994) 'An efficient preprocessing procedure for the multidimensional 0-1 knapsack problem', Discrete Applied Mathematics, Vol. 49, pp.189-212.
    • (1994) Discrete Applied Mathematics , vol.49 , pp. 189-212
    • Fréville, A.1    Plateau, G.2
  • 13
    • 0020229390 scopus 로고
    • Allocation of data bases and processors in a distributed computing system
    • Gavish, B. and Pirkul, H. (1982) 'Allocation of data bases and processors in a distributed computing system', Management of Distributed Computing Data Processing, Vol. 31, pp.215-231.
    • (1982) Management of Distributed Computing Data Processing , vol.31 , pp. 215-231
    • Gavish, B.1    Pirkul, H.2
  • 14
    • 0021886787 scopus 로고
    • Efficient algorithms for solving multiconstraint 0-1 knapsack problems to optimality
    • Gavish, B. and Pirkul, H. (1985) 'Efficient algorithms for solving multiconstraint 0-1 knapsack problems to optimality', Mathematical Programming, Vol. 31, pp.78-205.
    • (1985) Mathematical Programming , vol.31 , pp. 78-205
    • Gavish, B.1    Pirkul, H.2
  • 15
    • 0001215807 scopus 로고
    • Surrogate constraints
    • Glover, F. (1968) 'Surrogate constraints', Operations Research, Vol. 16, pp.741-749.
    • (1968) Operations Research , vol.16 , pp. 741-749
    • Glover, F.1
  • 18
    • 0004217585 scopus 로고
    • A branch and bound algorithm for the knapsack problem
    • Kolesar, P.J. (1967) 'A branch and bound algorithm for the knapsack problem', Management Science, Vol. 13, pp.723-735.
    • (1967) Management Science , vol.13 , pp. 723-735
    • Kolesar, P.J.1
  • 19
    • 0000899487 scopus 로고
    • Three problems in capital rationing
    • Lorie, J. and Savage, L.J. (1955) 'Three problems in capital rationing', The Journal of Business, Vol. 28, pp.229-239.
    • (1955) The Journal of Business , vol.28 , pp. 229-239
    • Lorie, J.1    Savage, L.J.2
  • 20
    • 77958489544 scopus 로고
    • A mixed algorithm for the subset-sum problem
    • Lausanne, France
    • Martello, S. and Toth, P. (1982) 'A mixed algorithm for the subset-sum problem', EURO V, TIMS, Lausanne, France.
    • (1982) EURO V, TIMS
    • Martello, S.1    Toth, P.2
  • 24
    • 0036959053 scopus 로고    scopus 로고
    • Cutting and surrogate constraint analysis for improved multidimensional knapsack solutions
    • Osorio, M., Glover, F. and Hammer, P. (2002) 'Cutting and surrogate constraint analysis for improved multidimensional knapsack solutions', Annals of Operations Research, Vol. 117, pp.71-93.
    • (2002) Annals of Operations Research , vol.117 , pp. 71-93
    • Osorio, M.1    Glover, F.2    Hammer, P.3
  • 25
    • 0343788680 scopus 로고
    • A hybrid method for the 0-1 knapsack problem
    • Plateau, G. and Elkihel, M. (1985) 'A hybrid method for the 0-1 knapsack problem', Methods of Operations Research, Vol. 49, pp.277-293.
    • (1985) Methods of Operations Research , vol.49 , pp. 277-293
    • Plateau, G.1    Elkihel, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.