# Polynomial-time approximation schemes for two-machine open shop scheduling with nonavailability constraints

Kubzin, Mikhail A., Strusevich, Vitaly A., Breit, J. and Schmidt, G. (2006) *Polynomial-time approximation schemes for two-machine open shop scheduling with nonavailability constraints.* Naval Research Logistics, 53 (1). pp. 16-23. ISSN 0894-069X (doi:10.1002/nav.20122)

## Abstract

This paper addresses a two-machine open shop scheduling problem, in which the machines are not continuously available for processing. The processing of an operation affected by a non-availability interval can be interrupted and resumed later. The objective is to minimize the makespan. We present two polynomial-time approximation schemes, one of which handles the problem with one non-availability interval on each machine and the other for the problem with several non-availability intervals on one of the machines. Problems with a more general structure of the non-availability intervals are not approximable in polynomial time within a constant factor, unless P=NP.

Item Type: | Article |
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Uncontrolled Keywords: | open shop, machine availability, approximation scheme |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

School / Department / Research Groups: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 08 Nov 2010 14:27 |

URI: | http://gala.gre.ac.uk/id/eprint/3671 |

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