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Analysis of $GI/M/1/N$ and $GI/Geo/1/N$ queues with balking and vacation interruptions | ||
Journal of Mathematical Modeling | ||
مقاله 12، دوره 10، شماره 4، اسفند 2022، صفحه 569-585 اصل مقاله (265.41 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2022.22579.1996 | ||
نویسندگان | ||
Kanithi Jyothsna* 1؛ Vijaya Laxmi Pikkala2؛ Vijaya Kumar Prathi3 | ||
1Department of Basic Sciences and Humanities, Vignan's Institute of Engineering for Women, Visakhapatnam 530 049, Andhra Pradesh, India | ||
2Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, Andhra Pradesh, India | ||
3Department of Mathematics, GITAM (Deemed to be University), Visakhapatnam 530 045, Andhra Pradesh, India | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Renewal input؛ balking؛ vacation interruption؛ embedded Markov chain؛ sojourn time | ||
آمار تعداد مشاهده مقاله: 256 تعداد دریافت فایل اصل مقاله: 350 |