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On stochastic scheduling with precedence relations and switching costs

Published online by Cambridge University Press:  14 July 2016

K. D. Glazebrook
K. D. Glazebrook*
Affiliation:
University of Newcastle upon Tyne
*
∗Postal address: Department of Statistics, School of Mathematics, The University, Newcastle upon Tyne, NE1 7RU, U.K.
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Abstract

A collection of jobs is to be processed by a single machine. The amount of processing required by each job is a random variable with a known probability distribution. The jobs must be processed in a manner which is consistent with a precedence relation but the machine is free to switch from one job to another at any time; such switches are costly, however. This paper discusses conditions under which there is an optimal strategy for allocating the machine to the jobs which is given by a fixed permutation of the jobs indicating in which order they should be processed. When this is so, existing algorithms may be helpful in giving the best job ordering.

Keywords

MARKOV DECISION PROCESSESSTOCHASTIC SCHEDULINGSWITCHING COSTS
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 1016 - 1024
Copyright
Copyright © Applied Probability Trust 

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