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On the complexity of determining tolerances for ->e--optimal solutions to min-max combinatorial optimization problems

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

    (Groningen University)

Abstract

Sensitivity analysis of e-optimal solutions is the problem of calculating the range within which a problem parameter may lie so that the given solution re-mains e-optimal. In this paper we study the sensitivity analysis problem for e-optimal solutions tocombinatorial optimization problems with min-max ob-jectives where e > 0. We show that the problem is easy if the original problem is easy. We also show that the converse is true under the assumption that it is possible to calculate an e-optimal solution to the problem in polynomial time.

Suggested Citation

  • Ghosh, D. & Sierksma, G., 2000. "On the complexity of determining tolerances for ->e--optimal solutions to min-max combinatorial optimization problems," Research Report 00A35, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    • Handle: RePEc:gro:rugsom:00a35
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    File URL: http://irs.ub.rug.nl/ppn/240570340
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