Customer-dependent group instantaneous replacement models for unreliable service systems

Citation:

Liu, G.-S. & Burnetas, A., 2002. Customer-dependent group instantaneous replacement models for unreliable service systems. In Proceedings - Annual Meeting of the Decision Sciences Institute. San Diego, CA, pp. 1515-1520.

Abstract:

In this paper we are going to develop group replacement policies for a service system by considering the number of customers dynamically in the queue. We consider a service system with multiple independent servers operating in parallel and a single queue. Customers arrive in accordance with a Poisson process, and the service time for each customer follows an exponential distribution. The servers are unreliable with identically exponentially distributed failure times and the repair time is assumed negligible. We formulate this model as a continuous time Markov decision process, and prove the optimal group replacement policy has a threshold structure.

Notes:

cited By 0; Conference of Decision Sciences Institute 2002 Proceedings ; Conference Date: 23 November 2002 Through 26 November 2002; Conference Code:62126

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