A single server queue with gated processor-sharing discipline
type: Item
instance of: scholarly article
title: A single server queue with gated processor-sharing discipline
zbMATH Open document ID: 0676.60089
DOI: 10.1007/BF02100269
author: Kiran M. Rege
author: Bhaskar Sengupta
published in: Queueing Systems
publication date: 1989-01-01T00:00:00Z
review text: The authors study a single-line queueing system with an infinite capacity buffer in which customers arrive in a Poisson process and service times have exponential distribution. When a customer arrives into an empty system, he begins to be served immediately and until service completion newly arriving customers must wait in the buffer. After service completion a batch of at most m of the waiting customers from the head of the queue occupies the server and starts to be served in accordance with processor-sharing discipline. As before newly arriving customers are not allowed to join the batch which receives service. The authors study waiting time, queue length, etc. It should be noted that for finite m the conditional mean response time is not a linear function.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K30
Mathematics Subject Classification ID: 68M20
zbMATH DE Number: 4107895
zbMATH Keywords: processor-sharing discipline
zbMATH Keywords: infinite capacity buffer
zbMATH Keywords: waiting time
zbMATH Keywords: queue length
reviewed by: G. I. Falin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4107895