AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE
Publish Year: 1394
Type: Journal paper
Language: English
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Document National Code:
JR_IJMAC-5-3_003
Index date: 18 January 2023
AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE abstract
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 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.
AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE Keywords:
AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE authors
Rathinasabapathy Kalyanaraman
Professor of Mathematics, Annamalai University India Professor of Mathematics ۲nd
Shanthi R
Assistant professor Annamalai University India Research Scholar
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