The interdeparture-time distribution for each class in the ∑ i M i /G i /1 queue |
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| Authors: | David Stanford Wolfgang Fischer |
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| Affiliation: | (1) Dept. of Statistical & Actuarial Sciences, The University of Western Ontario, N6A 5B9 London, Ontario, Canada;(2) Institute of Communications Switching and Data Techniques, University of Stuttgart, Fed. Rep. of Germany |
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| Abstract: | A stationary queueing system is described in which a single server handles several competing Poisson arrival streams on a first-come first-served basis. Each class has its own generally distributed service time characteristics. The principal result is the Laplace-Stieltjes transform, for each class, of the interdeparture time distribution function. Examples are given and applications are discussed. |
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| Keywords: | Interdeparture time M/G/1 queue Laplace-Stieltjes transform |
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