EDP Sciences Journals List
Home Document
Subscriber Authentication Point
Issue RAIRO Oper. Res.
Volume 36, Number 2, April-June 2002
Page(s) 149 - 156
DOI 10.1051/ro:2002008

RAIRO Oper. Res. 36 (2002) 149-156
DOI: 10.1051/ro:2002008

Scheduling jobs in open shops with limited machine availability

Jacek Blazewicz and Piotr Formanowicz

Institute of Computing Science, Poznan University of Technology, Piotrowo 3A, 60-965 Poznan, Poland and Institute of Bioorganic Chemistry, Polish Academy of Sciences, Noskowskiego 12/14, 61-704 Poznan, Poland; Piotr.Formanowicz@cs.put.poznan.pl.
(Received November, 2000.)

Abstract
In this paper, open shop scheduling problems with limited machine availability are studied. Such a limited availability of machines may appear in many real-life situations, e.g. as preventive maintenance activities. Three types of jobs are distinguished: non-preemptable, resumable and preemptable. An operation of a resumable job if not completed before a non-availability period of a machine may be suspended and continued without additional cost when the machine becomes available. In the paper, results are given for the scheduling problems associated with the three types of jobs. For preemptable jobs polynomial-time algorithms based on the two-phase method are proposed.


Key words: Limited machine availability, computational complexity, two-phase method, mathematical programming.


© EDP Sciences 2002


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.