Existence and uniqueness of nonnegative solution of M/GB/1 queueing model

Existence and uniqueness of nonnegative solution of M/GB/1 queueing model

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Article ID: iaor20012544
Country: United Kingdom
Volume: 39
Issue: 7/8
Start Page Number: 199
End Page Number: 209
Publication Date: Apr 2000
Journal: Computers & Mathematics with Applications
Authors: , ,
Keywords: M/G/1 queues
Abstract:

In this paper, we set up M/GB/1 queueing model as an abstract Cauchy problem and prove the existence of a unique positive solution using the theory of strongly continuous semigroups of operators.

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