Discrete Time Geo/G/1 Queue with Multiple Adaptive Vacations

Authors:
Zhe George Zhang;Naishuo Tian
Affiliations:
Department of Finance, Marketing and Decision Sciences, College of Business and Economics, Western Washington University, Bellingham, WA 98225-9077, USA, and Faculty of Business Administration, Si ...;Department of Mathematics and Physics, Yanshan University, Qinhuangdao, 066004, China
Venue:
Queueing Systems: Theory and Applications
Year:
2001

Citing 2
Cited 7

Queueing systems with vacations—a survey

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Optimal two-threshold policies in an M/G/1 queue with two vacation types

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The Discrete-Time GI/Geo/1 Queue with Multiple Vacations

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Discrete-time single-server finite-buffer queues under discrete Markovian arrival process with vacations

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Discrete-time GI/Geo/1 queue with multiple working vacations

Queueing Systems: Theory and Applications
Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations

Journal of Computational and Applied Mathematics
The variant vacation policy Geo/G/1 queue with server breakdowns

Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Steady state analysis of the GI/M/1/N queue with a variant of multiple working vacations

Computers and Industrial Engineering
Discrete-time GeoX/G(a,b)/1/N queues with single and multiple vacations

Mathematical and Computer Modelling: An International Journal

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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.