Algorithmic approaches to the multiple knapsack assignment problem

Silvano Martello and Michele Monaci

Omega, 2020, vol. 90, issue C

Abstract: We consider a variant of the multiple knapsack problem in which some assignment-type side constraints have to be satisfied. The problem finds applications in logistics sectors related, e.g., to transportation and maritime shipping. We derive upper bounds from Lagrangian and surrogate relaxations of a mathematical model of the problem. We introduce a constructive heuristic and a metaheuristic refinement. We study the computational complexity of the proposed methods and evaluate their practical performance through extensive computational experiments on benchmarks from the literature and on new sets of randomly generated instances.

Keywords: Multiple knapsack problem; Assignment problem; Relaxations; Heuristic algorithms; Computational experiments (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (6)

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DOI: 10.1016/j.omega.2018.11.013

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