AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE
الموضوعات : فصلنامه ریاضیRathinasabapathy Kalyanaraman 1 , Shanthi R 2
1 - Professor of Mathematics, Annamalai University
India
Professor of Mathematics 2nd
2 - Assistant professor Annamalai University
India
Research Scholar
الکلمات المفتاحية: Performance Measures, Supplementary variable, Vacation queue, probability generating function,
ملخص المقالة :
We consider an M/G/1 queue with regular and optional phase vacation and withstate dependent arrival rate. The vacation policy is after completion of service if there areno customers in the system, the server takes vacation consisting of K -phases, each phaseis generally distributed. Here the first phase is compulsory where as the other phases areoptional. For this model the supplementary variable technique has been applied to obtainthe 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 carriedout.
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