Analysis of GI/M/۱/N and GI/Geo/۱/N queues with balking and vacation interruptions
Publish place: Journal of Mathematical Modeling، Vol: 10، Issue: 4
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-10-4_012
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
This paper addresses renewal input continuous and discrete time queues with balking and vacation interruptions. An arriving client may join the system or balk with some state-dependent probability. Whenever the server finds an empty system, he leaves for a working vacation. During working vacations, if there are clients to be served at a service completion instant, the server interrupts the working vacation and switches to regular service period. The embedded Markov chain technique has been adopted for evaluating pre-arrival epoch probabilities and supplementary variable approach is employed to evaluate arbitrary instant probabilities. Few performance characteristics and sojourn time distribution have also been demonstrated. Finally, numerical investigations have been figured out to depict the impact of the model variables on the performance indices.
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Authors
Kanithi Jyothsna
Department of Basic Sciences and Humanities, Vignan&#۰۳۹;s Institute of Engineering for Women, Visakhapatnam ۵۳۰ ۰۴۹, Andhra Pradesh, India
Vijaya Laxmi Pikkala
Department of Applied Mathematics, Andhra University, Visakhapatnam ۵۳۰ ۰۰۳, Andhra Pradesh, India
Vijaya Kumar Prathi
Department of Mathematics, GITAM (Deemed to be University), Visakhapatnam ۵۳۰ ۰۴۵, Andhra Pradesh, India