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Analysis of Markovian queueing system with server failures, N-policy and second optional service | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 248، دوره 13، شماره 1، خرداد 2022، صفحه 3073-3083 اصل مقاله (393.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6048 | ||
| نویسندگان | ||
| Roma Rani Das* 1؛ V.N. Rama Devi2؛ Abhishek Rathore3؛ K. Chandan4 | ||
| 1Department of Statistics, Acharya Nagarjuna University, Guntur and Data Curator (SBDM), ICRISAT, Hyderabad, India | ||
| 2GRIET, Hyderabad, India | ||
| 3Theme Leader and Principal Scientist (SBDM), ICRISAT, Hyderabad, India | ||
| 4Acharya Nagarjuna University, Guntur, India | ||
| تاریخ دریافت: 18 شهریور 1400، تاریخ بازنگری: 22 مهر 1400، تاریخ پذیرش: 28 آذر 1400 | ||
| چکیده | ||
| The current work details the behaviour of a finite Markovian queueing system with a vacation in which the server may face problems of breakdowns while in service. The repair process does start immediately after a breakdown which immediately resumes the service. During this period any new customer is allowed to join the system. Whenever the server finds nobody, the server goes on vacation and resumes service after N customers are accumulated. Meanwhile, it triggers pre-service called start-up. Further, we considered two types of repair facilities for the broken-down server with an optional probability. The server first provides essential service to all customers and the second optional service will be provided with a probability of “p”. The customer may renege in the first phase of service. We adopted Runge-Kutta Method to find Transient state probabilities and computed various performance indices like the expected length of the system, the mean waiting time etc. We then performed the sensitivity analysis to explore the effect of different parameters. | ||
| کلیدواژه‌ها | ||
| N-Policy؛ Second optional service؛ Start-up؛ Two types of repair facilities | ||
| مراجع | ||
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