Performance Analysis of a Renewal Input Bulk Service Queue with Accessible and Non-accessible Batches

نویسندگان

  • Yesuf Obsie Mussa
  • P. Vijaya Laxmi
چکیده

Abstract: In this paper, we consider a single-server infinite(finite-) buffer bulk-service queues. The interarrival and service times are respectively, arbitrarily and exponentially distributed. The customers are served by a single server in accessible or non-accessible batches of maximum size ‘ b ’ with a minimum threshold value ‘ ’. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining interarrival time, to develop the steady-state queue length distributions at prearrival and arbitrary epochs. Finally, some numerical results have been presented. a

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تاریخ انتشار 2010