Queue Length in a Queuing System with Dependent Service Times

V. G. Ushakov1,2, N. G. Ushakov3
1Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
2Institute of Informatics Problems, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, Russia
3Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

Tóm tắt

A single-server queuing system with infinite capacity and a recurrent input flow is considered. Service times of the customer units have an exponential distribution with random parameter. The current value of the parameter is chosen from a finite set with given probabilities at the time the service of a certain customer is completed. Sequential values of the parameters form a special kind of Markov chain. The nonstationary behavior of the queue length is studied.

Tài liệu tham khảo

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