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Optimal policies for scheduling repairs and allocating heterogeneous servers

Part of: Operations research and management science Computer system organization

Published online by Cambridge University Press:  14 July 2016

Rhonda Righter
Rhonda Righter*
Affiliation:
Santa Clara University
*
∗Postal address: Department of Decision and Information Sciences, Santa Clara University, Santa Clara, CA 95053, USA.
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Abstract

We consider the machine repairman, or resource utilization, model in which there is a finite source of jobs with non-identically distributed exponential return times and a single server with job dependent service times. We also consider a related problem of scheduling jobs at heterogeneous servers. We construct a coupling framework that provides a simple unified proof that strengthens many of the results in the literature, and generalizes easily to prove several new results.

Keywords

MACHINE REPAIRMAN PROBLEMINVARIANCE RESULTSHETEROGENEOUS PROCESSORSSCHEDULING

MSC classification

Primary: 90B35: Scheduling theory, deterministic
Secondary: 68M20: Performance evaluation; queueing; scheduling
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 2 , September 1996 , pp. 536 - 547
Copyright
Copyright © Applied Probability Trust 1996 

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