Stationary distribution of queue length in G / M / 1 queue with two-stage service policy

Sunggon Kim (), Jongwoo Kim () and Eui Lee

Mathematical Methods of Operations Research, 2006, vol. 64, issue 3, 467-480

Abstract: We consider a G / M / 1 queue with two-stage service policy. The server starts to serve with rate of μ 1 customers per unit time until the number of customers in the system reaches λ. At this moment, the service rate is changed to that of μ 2 customers per unit time and this rate continues until the system is empty. We obtain the stationary distribution of the number of customers in the system. Copyright Springer-Verlag 2006

Keywords: G / M / 1 queue; Two-stage service policy; Stationary distribution; Number of customers (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s00186-006-0096-y

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