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Jyothsna, Kanithi, Pikkala, Vijaya Laxmi, Prathi, Vijaya Kumar. (1401). Analysis of $GI/M/1/N$ and $GI/Geo/1/N$ queues with balking and vacation interruptions. فیزیولوژی و بیوتکنولوژی آبزیان, 10(4), 569-585. doi: 10.22124/jmm.2022.22579.1996
Kanithi Jyothsna; Vijaya Laxmi Pikkala; Vijaya Kumar Prathi. "Analysis of $GI/M/1/N$ and $GI/Geo/1/N$ queues with balking and vacation interruptions". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 4, 1401, 569-585. doi: 10.22124/jmm.2022.22579.1996
Jyothsna, Kanithi, Pikkala, Vijaya Laxmi, Prathi, Vijaya Kumar. (1401). 'Analysis of $GI/M/1/N$ and $GI/Geo/1/N$ queues with balking and vacation interruptions', فیزیولوژی و بیوتکنولوژی آبزیان, 10(4), pp. 569-585. doi: 10.22124/jmm.2022.22579.1996
Jyothsna, Kanithi, Pikkala, Vijaya Laxmi, Prathi, Vijaya Kumar. Analysis of $GI/M/1/N$ and $GI/Geo/1/N$ queues with balking and vacation interruptions. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 10(4): 569-585. doi: 10.22124/jmm.2022.22579.1996

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
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