The impact of disruption characteristics on the performance of a server

Pedram Sahba (), Barış Balcıog̃lu () and Dragan Banjevic ()
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Pedram Sahba: University of Toronto
Barış Balcıog̃lu: Sabancı University
Dragan Banjevic: University of Toronto

Annals of Operations Research, 2022, vol. 317, issue 1, No 13, 239-252

Abstract: 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.

Keywords: Queueing; Server disruptions; Operation-independent disruptions; Operation-dependent disruptions; Process completion time (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10479-015-2075-2

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