Publication:
A tandem queueing model with coupled processors

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Resing, Jacques

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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.

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Elsevier

Subject

Operations research, Management science, Conformal mapping, Mathematical models, Generating functions, Queueing theory, Probability density function

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Operations Research Letters

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DOI

10.1016/S0167-6377(03)00046-4

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