An M/M/1 system with an unreliable device and a threshold recovery policy

Author:

Efrosinin D. V.,Semenova O. V.

Publisher

Pleiades Publishing Ltd

Subject

Electrical and Electronic Engineering,Condensed Matter Physics,Radiation,Electronic, Optical and Magnetic Materials

Reference5 articles.

1. D. Efrosinin, Controlled Queueing Systems with Heterogeneous Servers. Dynamic Optimization and Monotonicity Properties (VDM Verlag, Saarbrücken, 2008).

2. O. V. Semenova and A. N. Dudin, “An M/M/N Queueing System with Controlled Service Regime and with Casualties,” Avtom. Vychislit. Tekhn., (2007).

3. K.-H. Wang, “Optimal Control of a Removable and Non-Reliable Server in An M/M/1 Queueing System with Exponential Startup Time,” Math. Methods Oper. Res. 58, 29–39 (2003).

4. D. P. Heyman and M. J. Sobel, Stochastic Models in Operations Research,” Vol. II: Stochastic Optimization (McGraw-Hill, New York, 1984).

5. E. Pakes, “Some Conditions for Egodicity and Recurrence of Markov Chains,” Oper. Res. 17, 1058–1061 (1969).

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