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Analysis of a queue with joining strategy and interruption repeat or resumption of service | ||
| Journal of Mathematical Modeling | ||
| مقاله 1، دوره 7، شماره 2، شهریور 2019، صفحه 153-174 اصل مقاله (473.6 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.11467.1194 | ||
| نویسنده | ||
| Dhanya Shajin* | ||
| Department of Mathematics, Sree Narayana College, Chempazhanthy, Thiruvananthapuram Kerala-695587, India. | ||
| چکیده | ||
| Consider an $M/M/1$ queueing system with service interruption. If the server is busy at the arrival epoch, the arriving customer decides to join the queue with probability $q$ and balk with probability $1-q$. The service is assumed to get interrupted according to a Poisson process. The interrupted service is either resumed or restarted according to the realization of two competing independent, non-identically distributed random variables, the realization times of which follow exponential distributions. An arriving customer, finding the server under interruption does not join the system. We analyze the Nash equilibrium customers' joining strategies and give some numerical examples. | ||
| کلیدواژه‌ها | ||
| joining strategy؛ interruption؛ repeat or resumption of service؛ Nash equilibrium | ||
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آمار تعداد مشاهده مقاله: 695 تعداد دریافت فایل اصل مقاله: 756 |
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