Working Vacation Queue with Second Optional Service and Unreliable Server

Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJE-25-3_026

تاریخ نمایه سازی: 17 خرداد 1393

Abstract:

An M/M/1 queueing system with second optional service and unreliable server is studied. We consider that the server works at different rate rather than being idle during the vacation period. The customersarrive to the system according to Poisson process with state dependent rates depending upon theserver’s status. All customers demand the first essential service whereas only some of them demand the second optional service. A customer either may leave the system after the first essential service with probability (1-r) or at the completion of the first essential service go for second optional service withprobability r (0≤r≤1). The server may breaks down according to Poisson process during the busy andworking vacation duration. Both service times in vacation and in service period are exponentially distributed. The matrix geometric technique is used for the analysis of the concerned queueing system. The sensitive analysis is also performed to examine the variation of the system performance characteristics with various input parameters.

Authors

m jain

Department of Mathematics, Indian Institute of Technology, Roorkee-۲۴۷۶۶۷

d chauhan

Department of Mathematics, Allenhouse Institute of Technology, Kanpur-۲۰۸۰۰۷