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Sensitivity analysis for knapsack problems: Another negative result. (English) Zbl 0957.90124

Summary: We answer a question of C. Blair [Discrete Appl. Math. 81, 133-139 (1998; Zbl 0895.90155)] on the computational complexity of a problem related to the so-called adjacent knapsack problems. We prove that this problem is DP-hard; hence, the problem is at least as difficult as all problems in NP and at least as difficult as all problems in coNP.

MSC:

90C31 Sensitivity, stability, parametric optimization
90C27 Combinatorial optimization
68Q25 Analysis of algorithms and problem complexity
90C60 Abstract computational complexity for mathematical programming problems

Citations:

Zbl 0895.90155
Full Text: DOI

References:

[1] Blair, C., Sensitivity analysis for knapsack problems: a negative result, Discrete Appl. Math., 81, 133-139 (1998) · Zbl 0895.90155
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