Discrete time Geo/G/1 queue with multiple adaptive vacations

Discrete time Geo/G/1 queue with multiple adaptive vacations

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Article ID: iaor20041275
Country: Netherlands
Volume: 38
Issue: 4
Start Page Number: 419
End Page Number: 429
Publication Date: Aug 2001
Journal: Queueing Systems
Authors: ,
Keywords: vacation models, Geo/G/1 queues
Abstract:

This paper treats the discrete time Geometric/G/1 system with vacations. In this system, after serving all customers in the system, the server will take a random maximum number of vacations before returning to the service mode. The stochastic decomposition property of steady-state queue length and waiting time has been proven. The busy period, vacation mode period, and service mode period distributions are also derived. Several common vacation policies are special cases of the vacation policy presented in this study.

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