Optimal control of \((N, F)\) policy for unreliable server queue with multi-optional phase repair and start-up
type: Item
instance of: scholarly article
title: Optimal control of \((N, F)\) policy for unreliable server queue with multi-optional phase repair and start-up
zbMATH Open document ID: 1390.90221
DOI: 10.1504/IJMOR.2012.046375
author: Madhu Jain
author: G. C. Sharma
author: Richa Sharma
published in: International Journal of Mathematics in Operational Research
publication date: 2018-05-29T00:00:00Z
review text: Summary: In this paper, we study the modelling and analysis of unreliable M/M/K queuing system under \(N\)- and \(F\)-policy with multi-optional phase repair and start-up. According to the \((N, F)\) policy, the first server is turned on only when there are `\(N\)' or more customers are available in the system. The second server is turned on when the queue length of the customers reaches its system capacity \(K\). Furthermore, no more customers are allowed in the system till the number of the customers again drops up to a certain threshold level `\(F\)'. The servers may break down during busy period. There is a provision of `\(l\)' phase repairs to restore the servers. The first-phase repair is necessary but remaining (\(l\)--1) phases are optional. The lifetime, start-up time and repair time of the servers are assumed to be exponentially distributed. Using matrix method, transient probabilities of the system states are determined. To examine the effect of different parameters on various performance indices, the numerical results are provided by taking an illustration.
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 6875983
zbMATH Keywords: \(N\)-policy
zbMATH Keywords: \(F\)-policy
zbMATH Keywords: unreliable servers
zbMATH Keywords: start-up time
zbMATH Keywords: multi-optional repair
zbMATH Keywords: matrix method
zbMATH Keywords: average cost
MaRDI profile type: Publication
full work available at URL: ijmor.2012.046375
OpenAlex ID: W2166548588
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description: scientific article; zbMATH DE number 6875983