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Cited by 12 publications
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References 11 publications
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“…In queueing literature, a few researchers considered the server breakdown situations in their studies. Together with the concept of server breakdown and vacation presented by Jeyakumar and Senthilnathan (2012) analyze server breakdown without interruption in an M x /G(a, b)/1 queueing system with multiple vacations. Ye and Liu (2017) analyzed Markovian arrival single server queueing model with working breakdown by employing the matrix geometric method to determine the steady state equations.…”
Section: Introductionmentioning
confidence: 99%
“…In queueing literature, a few researchers considered the server breakdown situations in their studies. Together with the concept of server breakdown and vacation presented by Jeyakumar and Senthilnathan (2012) analyze server breakdown without interruption in an M x /G(a, b)/1 queueing system with multiple vacations. Ye and Liu (2017) analyzed Markovian arrival single server queueing model with working breakdown by employing the matrix geometric method to determine the steady state equations.…”
Section: Introductionmentioning
confidence: 99%
“…These type of queues are known as vacation queues which have potential applications in polling protocols frequently used in high-speed telecommunication networks, designing of local area networks, processor schedules in computer and switching systems, shared resources maintenance, manufacturing system with server breakdown etc. The literature clearly exhibits the extensive studies on vacation queues, for example see Doshi [25], Lee et al [26], Chang et al [10], Sikdar et al [27,28], Gupta et al [29,30,31], Reddy et al [32,33], Madan et al [34], Banik et al [35,36], Arumuganathan and Jeyakumar [37,38], Ke Jau-Chuan [39], Jeyakumar and Arumuganathan [40,41] and the references therein. It should be noted here that none of these analysis provides the server content distribution which is an essential tool to increase the serving capability of the server.…”
Section: Introductionmentioning
confidence: 99%
“…These type of queues are known as vacation queues and has potential applications in processor schedules in computer and switching system, shared resource maintenance, designing of local area networks (LAN), manufacturing system with server breakdown etc. Various type of vacation queueing models for both discrete-and continuous-time set-up can be found in Dhosi [9], Baba [10], Takagi [11], Lee et al [12], Tian [13], Reddy et al [14], Gupta et al [15,16], Sikdar et al [17], Jeyakumar et al [18] etc. Batch-service queues have applications in mobile crowdsourcing app for smart cities, recreational devices in amusement park, group testing of blood samples for detecting HIV/Influenza/viruses or to eliminate defective items in manufacturing systems etc.…”
Section: Introductionmentioning
confidence: 99%