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Index policies for the routing of background jobs

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  • K.D. Glazebrook
  • C. Kirkbride

Abstract

Arriving (generic) jobs may be processed at one of several service stations, but only when no other (dedicated) jobs are waiting there. We consider the problem of how to route these incoming background jobs to make best use of the spare service capacity available at the stations. We develop an approximative approach to Whittle's proposal for restless bandits to obtain an index policy for routing. The indices concerned are increasing and nonlinear in the station workload. A numerical study testifies to the strong performance of the index policies developed. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

Suggested Citation

  • K.D. Glazebrook & C. Kirkbride, 2004. "Index policies for the routing of background jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(6), pages 856-872, September.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:6:p:856-872
    DOI: 10.1002/nav.20034
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    References listed on IDEAS

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    4. P S Ansell & K D Glazebrook & C Kirkbride, 2003. "Generalised ‘join the shortest queue’ policies for the dynamic routing of jobs to multi-class queues," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(4), pages 379-389, April.
    5. K.D. Glazebrook & H.M. Mitchell, 2002. "An index policy for a stochastic scheduling model with improving/deteriorating jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(7), pages 706-721, October.
    6. P. S. Ansell & K. D. Glazebrook & J. Niño-Mora & M. O'Keeffe, 2003. "Whittle's index policy for a multi-class queueing system with convex holding costs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(1), pages 21-39, April.
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