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Scheduling with periodic availability constraints and irregular cost functions

Published online by Cambridge University Press:  15 June 2007

Francis Sourd
Francis Sourd*
Affiliation:
CNRS-LIP6. 4, place Jussieu 75252 Paris Cedex 05, France; Francis.Sourd@lip6.fr
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Abstract

This paper addresses a one-machine scheduling problem in which the efficiency of the machine is not constant, that is the duration of a task is longer in badly efficient time periods. Each task has an irregular completion cost. Under the assumption that the efficiency constraints are time-periodic, we show that the special case where the sequence is fixed can be solved in polynomial time. The general case is NP-complete so that we propose a two-phase heuristic to find good solutions. Our approach is tested on problems with earliness-tardiness costs.

Keywords

Schedulingearliness-tardinessavailabilitybreak
Type
Research Article
Information
RAIRO - Operations Research , Volume 41 , Issue 2: ROADEF 05 , April 2007 , pp. 141 - 154
Copyright
© EDP Sciences, ROADEF, SMAI, 2007

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