A batch arrival queue with a vacation time under single vacation policy

A batch arrival queue with a vacation time under single vacation policy

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Article ID: iaor20031652
Country: United Kingdom
Volume: 29
Issue: 14
Start Page Number: 1941
End Page Number: 1955
Publication Date: Dec 2002
Journal: Computers and Operations Research
Authors:
Keywords: M/G/1 queues, vacation models
Abstract:

We consider an Mx/G/1 queueing system with a vacation time under single vacation policy, where the server takes exactly one vacation between two successive busy periods. We derive the steady state queue size distribution at different points in times, as well as the steady state distributions of busy period and unfinished work (backlog) of this model.

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