The performance measures and randomized optimization for an unreliable server M [ x] /G/1 vacation system

This paper examines an M [ x] /G/1 queueing system with a randomized vacation policy and at most J vacations. Whenever the system is empty, the server immediately takes a vacation. If there is at least one customer found waiting in the queue upon returning from a vacation, the server will be immedia...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 217; no. 21; pp. 8277 - 8290
Main Authors:	Ke, Jau-Chuan, Huang, Kai-Bin, Pearn, Wen Lea
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.07.2011 Elsevier
Subjects:	Batch arrival queue Breakdown Calculus of variations and optimal control Customer satisfaction Exact sciences and technology Mathematical analysis Mathematical models Mathematics Minimum cost Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Queues Randomized control Reliability Sciences and techniques of general use Server breakdown Servers Size distribution Supplementary variable technique Vacations Supplementary variable technique Randomized control Server breakdown Vacations Reliability Batch arrival queue Optimization method Probability distribution Poisson process Numerical analysis Queueing system Applied mathematics Distribution function Variational calculus Queue Mathematical programming
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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