Queueing model with state-dependent bulk arrival and second optional service

Charan Jeet Singh, Madhu Jain and Binay Kumar

International Journal of Mathematics in Operational Research, 2011, vol. 3, issue 3, 322-340

Abstract: This paper investigates a single server bulk queueing system with state-dependent rates and second optional service. The service time of the essential service is general-distributed whereas that of optional service follows the exponential distribution. By using supplementary variable technique, the probability-generating functions of the queue length distribution have been obtained. Further, the queue length distribution is established by using maximum entropy approach. The numerical illustrations are provided to verify the tractability of performance measures. The sensitivity analysis is also carried out to examine the effect of system descriptors.

Keywords: Mx/G/1 queues; queue length; state-dependent rate; essential services; optional services; supplementary variables; maximum entropy; queueing models; bulk arrivals; bulk queueing. (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:3:y:2011:i:3:p:322-340

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