The Minmax Multidimensional Knapsack Problem with Application to a Chance-Constrained Problem


Kress, Moshe, Penn, Michal and Polukarov, Maria (2007) The Minmax Multidimensional Knapsack Problem with Application to a Chance-Constrained Problem. Naval Research Logistics, 54, (6), 656-666.

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Description/Abstract

In this paper we present a new combinatorial problem, called minmax multidimensional knapsack problem (MKP), motivated by a military logistics problem. The logistics problem is a two-period, two-level, chanced-constrained problem with recourse. We show that the MKP is NP-hard and develop a practically efficient combinatorial algorithm for solving it. We also show that under some reasonable assumptions regarding the operational setting of the logistics problem, the chance-constrained optimization problem is decomposable into a series of MKPs that are solved separately.

Item Type: Article
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Agents, Interactions & Complexity
ePrint ID: 267886
Date Deposited: 16 Sep 2009 20:44
Last Modified: 27 Mar 2014 20:14
Further Information:Google Scholar
ISI Citation Count:2
URI: http://eprints.soton.ac.uk/id/eprint/267886

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