Queuing Problems with Heterogeneous Arrivals and Service | Zendy

Uri Yechiali | Zendy; P. Naor | Zendy

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Queuing Problems with Heterogeneous Arrivals and Service

Author(s) -

Uri Yechiali,

P. Naor

Publication year - 1971

Publication title -

operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.797

H-Index - 140

eISSN - 1526-5463

pISSN - 0030-364X

DOI - 10.1287/opre.19.3.722

Subject(s) - computer science , queue , poisson distribution , queueing theory , context (archaeology) , service (business) , mathematical optimization , operations research , mathematics , computer network , statistics , economics , paleontology , economy , biology

This paper studies a two-level modification of the M/M/1 queuing model where the rate of arrival and the service capacity are subject to Poisson alternations. The ensuing \"two-dimensional\" problem is analyzed by using partial-generating-function techniques, which appear to be essential in the present context. The steady-state probabilities and the expected queue are evaluated, and numerous special and extreme cases are analyzed in detail.

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