Local Search Heuristics For The Multidimensional Assignment Problem
Data Structures and Algorithms
2015-02-24 v6
Abstract
The Multidimensional Assignment Problem (MAP) (abbreviated s-AP in the case of s dimensions) is an extension of the well-known assignment problem. The most studied case of MAP is 3-AP, though the problems with larger values of s also have a large number of applications. We consider several known neighborhoods, generalize them and propose some new ones. The heuristics are evaluated both theoretically and experimentally and dominating algorithms are selected. We also demonstrate a combination of two neighborhoods may yield a heuristics which is superior to both of its components.
Cite
@article{arxiv.0806.3258,
title = {Local Search Heuristics For The Multidimensional Assignment Problem},
author = {Gregory Gutin and Daniel Karapetyan},
journal= {arXiv preprint arXiv:0806.3258},
year = {2015}
}
Comments
30 pages. A preliminary version is published in volume 5420 of Lecture Notes Comp. Sci., pages 100-115, 2009