Some Results on a Batch Arrival Poisson Queue with a General Setup Time | ||
| The Egyptian Statistical Journal | ||
| Article 1, Volume 46, Issue 2, December 2002, Pages 118-128 PDF (10.13 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2002.313793 | ||
| Author | ||
| Gautaa Choudhury* | ||
| Mathematical Science Division,Institute of Advanced Study in Science and Technology, India | ||
| Abstract | ||
| We consider a single server queue with Poisson arrival of customers in batches of random size and a general setup time, where the service of the first customer in each busy period is preceded by a random setup time, on completion of which service begins. We are concerned with the steady state distributions of the additional queue size, additional delay and the queue waiting time distribution. | ||
| Keywords | ||
| Mx/ M /1 Queue; Setup Time; Multiple Vacation Policy; Additional Queue Size; Additional Delay; Waiting Time | ||
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