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Tree based models and algorithms for the preemptive asymmetric Stacker Crane problem

Published online by Cambridge University Press:  21 October 2011

Hervé Kerivin ,
Mathieu Lacroix ,
Alain Quilliot  and
Hélène Toussaint
Hervé Kerivin
Affiliation:
Department of Mathematical Sciences, Clemson University, CLEMSON, O-326, Martin Hall, Clemson, 29634 SC, USA
Mathieu Lacroix
Affiliation:
LIMOS, CNRS UMR 6158, Université Blaise-Pascal, Clermont-Ferrand II, Complexe Scientifique des Cézeaux, 63177 Aubière Cedex, France. alain.quilliot@isima.fr
Alain Quilliot
Affiliation:
LIMOS, CNRS UMR 6158, Université Blaise-Pascal, Clermont-Ferrand II, Complexe Scientifique des Cézeaux, 63177 Aubière Cedex, France. alain.quilliot@isima.fr
Hélène Toussaint
Affiliation:
LIMOS, CNRS UMR 6158, Université Blaise-Pascal, Clermont-Ferrand II, Complexe Scientifique des Cézeaux, 63177 Aubière Cedex, France. alain.quilliot@isima.fr
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Abstract

In this paper we deal with the preemptive asymmetric stacker crane problem in a heuristic way. We first present some theoretical results which allow us to turn this problem into a specific tree design problem. We next derive from this new representation an integer linear programming model together with simple and efficient greedy and local search heuristics. We conclude by presenting experimental results which aim at both testing the efficiency of our heuristic and evaluating the impact of the preemption hypothesis.

Keywords

Preemptive stacker crane problemroutinglocal searchheuristics
Type
Research Article
Information
RAIRO - Operations Research , Volume 45 , Issue 3 , July 2011 , pp. 179 - 207
Copyright
© EDP Sciences, ROADEF, SMAI, 2011

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