Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences
Paper
Effects of Slow-Downs and Failure on Stochastic Service Systems
Abstract
The reliability and efficiency of a stochastic service system subject to break-downs and slow-downs is investigated. A mathematical model of such a system is a single server queue with Poisson input and exponential service time. However, the server is subject to break-downs and slow-downs, the lengths of which are exponentially distributed. During these periods he serves at varying rates. Analytic expressions are derived for the mean waiting time and the mean queue length. © 1963 Taylor & Francis Group, LLC.
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