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Sensitivity analysis of the greedy heuristic for binary knapsack problems

Author

Listed:
  • Ghosh, D.
  • Chakravarti, N.
  • Sierksma, G.

    (Groningen University)

Abstract

Greedy heuristics are a popular choice of heuristics when we have to solve a large variety of NP -hard combinatorial problems. In particular for binary knapsack problems, these heuristics generate good results. If some uncertainty exists beforehand regarding the value of any one element in the problem data, sensitivity analysis procedures can be used to know the tolerance limits within which the value may vary will not cause changes in the output. In this paper we provide a polynomial time characterization of such limits for greedy heuristics on two classes of binary knapsack problems, namely the 0-1 knapsack problem and the subset sum problem. We also study the relation between algorithms to solve knapsack problems and algorithms to solve their sensitivity analysis problems, the conditions under which the sensitivity analysis of the heuristic generates bounds for the toler-ance limits for the optimal solutions, and the empirical behavior of the greedy output when there is a change in the problem data.

Suggested Citation

  • Ghosh, D. & Chakravarti, N. & Sierksma, G., 2000. "Sensitivity analysis of the greedy heuristic for binary knapsack problems," Research Report 00A18, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:00a18
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    File URL: http://irs.ub.rug.nl/ppn/240533054
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    References listed on IDEAS

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    1. Chakravarty, Nilotpal & Goel, Anand Mohan & Sastry, Trilochan, 2000. "Easy weighted majority games," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 227-235, September.
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