title   
  

The impact of disruption characteristics on the performance of a server

Sahba, Pedram and Balcıoğlu, Ahmet Barış and Banjevic, Dragan (2015) The impact of disruption characteristics on the performance of a server. Annals of Operations Research . ISSN 0254-5330 (Print) 1572-9338 (Online) Published Online First http://dx.doi.org/10.1007/s10479-015-2075-2

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Official URL: http://dx.doi.org/10.1007/s10479-015-2075-2

Abstract

In this paper, we study a queueing system serving N customers with an unreliable server subject to disruptions even when idle. Times between server interruptions, service times, and times between customer arrivals are assumed to follow exponential distributions. The main contribution of the paper is to use general distributions for the length of server interruption periods/down times. Our numerical analysis reveals the importance of incorporating the down time distribution into the model, since their impact on customer service levels could be counterintuitive. For instance, while higher down time variability increases the mean queue length, for other service levels, can prove to be improving system performance. We also show how the process completion time approach from the literature can be extended to analyze the queueing system if the unreliable server fails only when it is serving a customer.

Item Type:Article
Uncontrolled Keywords:Queueing, server disruptions, operation-independent disruptions, operation-dependent disruptions, process completion time
Subjects:Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics
ID Code:28004
Deposited By:Ahmet Barış Balcıoğlu
Deposited On:05 Dec 2015 22:44
Last Modified:25 Dec 2015 22:24

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