A tandem queueing model with coupled processors

Authors:
Jacques Resing;Lerzan ÖRmeci
Affiliations:
Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;Department of Industrial Engineering, Koc University, Sariyer-Istanbul, Turkey
Venue:
Operations Research Letters
Year:
2003

Citing 1
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Abstract

We consider a tandem queue with coupled processors and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems.