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

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Ghosh D., Sierksma G.

Applicationes Mathematicae

2003

tom 30

nr 3

305-313

This paper studies the complexity of sensitivity analysis for optimal and ε-optimal solutions to general 0-1 combinatorial optimization problems with min-max objectives. Van Hoesel and Wagelmans [9] have studied the complexity of sensitivity analysis of optimal and ε-optimal solutions to min-sum problems, and Ramaswamy et al. [17] the complexity of sensitivity analysis of optimal solutions to min-max problems. We show that under some mild assumptions the sensitivity analysis of ε-optimal solutions to min-max problems is easy if and only if the original problem is easy. This result is interesting since it immediately applies to a large number of problems, and also because the technique used to prove it is different from the ones used in the related papers (for example, in [17] and [9]).

Ograniczanie wyników

1 Applicationes Mathematicae

1 Ghosh D.

1 Sierksma G.

1 2003

Wyniki wyszukiwania

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