Equilibrium strategic behavior of customers in the M/M/1 queue with partial failures and repairs

Biao Xu () and Xiuli Xu ()
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Biao Xu: Yanshan University
Xiuli Xu: Yanshan University

Operational Research, 2018, vol. 18, issue 2, No 1, 273-292

Abstract: Abstract This paper analyzes the customers’ equilibrium strategic behavior in the M/M/1 queue subject to Poisson generated partial failures and repairs. In such a queueing system, whenever a partial failure occurs, the system does not admit any customer and continues the service at a lower rate instead of stopping working completely. This goes on till the system becomes empty and, at that point, an exponential repair time is sent on. The arriving customer’s dilemma is whether to enter or balk based on a linear reward-cost structure. We discuss the fully observable and fully unobservable queues respectively. For each type of queue, the corresponding equilibrium balking strategies of customers and the expected social benefits per time unit are derived. Finally, we illustrate the theoretical results by presenting some numerical examples.

Keywords: M/M/1 queue; Equilibrium strategies; Partial failures; Repairs; Social benefits (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s12351-016-0264-7

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