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How pre-emptive priority affects completion rate in an M/M/1 queue with Poisson reneging

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  • Nasrallah, Walid F.
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    Abstract

    Queuing problems in which customers leave the queue without obtaining service (i.e. renege) have many applications. This paper looks at a queue where arrival, service and reneging events are all generated by independent Poisson processes, and customers are selected for service according to priority. A closed-form expression is derived for the probability of completing service for each priority class if high-priority customers always pre-empt low-priority ones. This result has applications in modeling the value of communications between members of an interacting population, such as a formal organization or an online community.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4R8NB9J-4/2/ef8158d2deaebaf4a1410d563a754028
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 1 (February)
    Pages: 317-320

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:1:p:317-320

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Queueing OR in business process analysis Reneging Priority;

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