Discrete Time Analysis of Multi-Server Queueing System with Multiple Working Vacations and Reneging of Customers
سال انتشار: 1398
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 94
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شناسه ملی سند علمی:
JR_IJMAC-9-1_001
تاریخ نمایه سازی: 27 دی 1401
چکیده مقاله:
This paper analyzes a discrete-time Geo/Geo/c queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customers waiting for service are subject to reneging and the reneging times are also assumed to be geometrically distributed. The explicit expressions for the steady-state probabilities are obtained recursively from the difference equations that represent the model. Closed form expressions of the system size are also derived both during regular busy period and during WV. In addition, we obtain some other performance measures and a cost model is formulated to determine the optimal service rate during working vacation.
کلیدواژه ها:
نویسندگان
Vijaya Laxmi Pikkala
university
Wondewosen Kassahun
Andhra University