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Approximation algorithms for the m-dimensional 0-1 knapsack problem: Worst-case and probabilistic analyses

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  • Frieze, A. M.
  • Clarke, M. R. B.

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  • Frieze, A. M. & Clarke, M. R. B., 1984. "Approximation algorithms for the m-dimensional 0-1 knapsack problem: Worst-case and probabilistic analyses," European Journal of Operational Research, Elsevier, vol. 15(1), pages 100-109, January.
    • Handle: RePEc:eee:ejores:v:15:y:1984:i:1:p:100-109
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    Cited by:

    1. Rinnooy Kan, A. H. G., 1985. "Probabilistic Analysis Of Algorithms," Econometric Institute Archives 272328, Erasmus University Rotterdam.
    2. Dimitris Bertsimas & Ramazan Demir, 2002. "An Approximate Dynamic Programming Approach to Multidimensional Knapsack Problems," Management Science, INFORMS, vol. 48(4), pages 550-565, April.
    3. Szkatula, Krzysztof, 1998. "Random sequencing jobs with deadlines problem: Growth of the optimal solution values," European Journal of Operational Research, Elsevier, vol. 109(1), pages 160-169, August.
    4. Lee, Tae-Eog & Oh, Geun Tae, 1997. "The asymptotic value-to-capacity ratio for the multi-class stochastic knapsack problem," European Journal of Operational Research, Elsevier, vol. 103(3), pages 584-594, December.
    5. Balev, Stefan & Yanev, Nicola & Freville, Arnaud & Andonov, Rumen, 2008. "A dynamic programming based reduction procedure for the multidimensional 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 186(1), pages 63-76, April.
    6. Sabah Bushaj & İ. Esra Büyüktahtakın, 2024. "A K-means Supported Reinforcement Learning Framework to Multi-dimensional Knapsack," Journal of Global Optimization, Springer, vol. 89(3), pages 655-685, July.
    7. Freville, Arnaud, 2004. "The multidimensional 0-1 knapsack problem: An overview," European Journal of Operational Research, Elsevier, vol. 155(1), pages 1-21, May.
    8. Raymond R. Hill & Charles H. Reilly, 2000. "The Effects of Coefficient Correlation Structure in Two-Dimensional Knapsack Problems on Solution Procedure Performance," Management Science, INFORMS, vol. 46(2), pages 302-317, February.
    9. Thomas Erlebach & Hans Kellerer & Ulrich Pferschy, 2002. "Approximating Multiobjective Knapsack Problems," Management Science, INFORMS, vol. 48(12), pages 1603-1612, December.
    10. Arnaud Fréville & SaÏd Hanafi, 2005. "The Multidimensional 0-1 Knapsack Problem—Bounds and Computational Aspects," Annals of Operations Research, Springer, vol. 139(1), pages 195-227, October.
    11. Yoon, Yourim & Kim, Yong-Hyuk & Moon, Byung-Ro, 2012. "A theoretical and empirical investigation on the Lagrangian capacities of the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 218(2), pages 366-376.
    12. Caprara, Alberto & Kellerer, Hans & Pferschy, Ulrich & Pisinger, David, 2000. "Approximation algorithms for knapsack problems with cardinality constraints," European Journal of Operational Research, Elsevier, vol. 123(2), pages 333-345, June.
    13. Jacob B. Feldman & Huseyin Topaloglu, 2015. "Capacity Constraints Across Nests in Assortment Optimization Under the Nested Logit Model," Operations Research, INFORMS, vol. 63(4), pages 812-822, August.

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