AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE

International Journal of Mathematical Modelling & Computations

مقاله 3، دوره 5، 3 (SUMMER)، فروردین 2015، صفحه 231-244   

نویسندگان

Rathinasabapathy Kalyanaraman¹؛ Shanthi R²

¹Professor of Mathematics, Annamalai University India Professor of Mathematics 2nd

²Assistant professor Annamalai University India Research Scholar

چکیده

We consider an M/G/1 queue with regular and optional phase vacation and with
state dependent arrival rate. The vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of K -phases, each phase is generally distributed. Here the first phase is compulsory where as the other phases are optional. For this model the supplementary variable technique has been applied to obtain the probability generating functions of number of customers in the queue at the different  server states. Some particular models are obtained and a numerical study is also carried out.

کلیدواژه‌ها

Vacation queue؛ Supplementary variable؛ probability generating function؛ Performance Measures

مراجع

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