Potts, C.N., Strusevich, V.A. and Tautenhahn, T. (2001) Scheduling batches with simultaneous job processing for two-machine shop problems. Journal of Scheduling, 4 (1). pp. 25-51. ISSN 1094-6136 (Print), 1099-1425 (Online) (doi:https://doi.org/10.1002/1099-1425(200101/02)4:1<25::AID-JOS58>3.0.CO;2-7)

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Abstract

We consider the problem of scheduling independent jobs on two machines in an open shop, a job shop and a flow shop environment. Both machines are batching machines, which means that several operations can be combined into a batch and processed simultaneously on a machine. The batch processing time is the maximum processing time of operations in the batch, and all operations in a batch complete at the same time. Such a situation may occur, for instance, during the final testing stage of circuit board manufacturing, where burn-in operations are performed in ovens. We consider cases in which there is no restriction on the size of a batch on a machine, and in which a machine can process only a bounded number of operations in one batch. For most of the possible combinations of restrictions, we establish the complexity status of the problem.

Item Type:	Article
Uncontrolled Keywords:	scheduling, batching, polynomial algorithm, NP-hard, open shop, job shop, flow shop
Subjects:	Q Science > QA Mathematics > QA76 Computer software T Technology > TJ Mechanical engineering and machinery
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Mathematical Sciences School of Computing & Mathematical Sciences > Statistics & Operational Research Group
Related URLs:	Publisher Publisher Organisation
Last Modified:	14 Oct 2016 09:01
URI:	http://gala.gre.ac.uk/id/eprint/581

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