Multi-level bottleneck assignment problems : Complexity and sparsity-exploiting formulations

Dokka, Trivikram and Goerigk, Marc (2023) Multi-level bottleneck assignment problems : Complexity and sparsity-exploiting formulations. Computers and Operations Research, 154: 106213. ISSN 0305-0548

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Abstract

We study the multi-level bottleneck assignment problem: given a weight matrix, the task is to rearrange entries in each column such that the maximum sum of values in each row is as small as possible. We analyze the complexity of this problem in a generalized setting, where a graph models restrictions how values in columns can be permuted. We present a lower bound on its approximability by giving a non-trivial gap reduction from three-dimensional matching to the multi-level bottleneck assignment problem. We present new integer programming formulations and consider the impact of graph density on problem hardness in numerical experiments.

Item Type:
Journal Article
Journal or Publication Title:
Computers and Operations Research
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2611
Subjects:
?? combinatorial optimizationbottleneck assignmentapproximationcomputational complexitymodelling and simulationmanagement science and operations researchcomputer science(all) ??
ID Code:
190163
Deposited By:
Deposited On:
31 Mar 2023 10:45
Refereed?:
Yes
Published?:
Published
Last Modified:
17 Jun 2024 00:07