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TRANSIENT ANALYSIS OF PERMANENT CUSTOMERS IN A SINGLE-SERVER QUEUE WITH MIXED TRAFFIC

Published online by Cambridge University Press:  01 July 2000

John E. Kobza  and
Joel A. Nachlas
John E. Kobza
Affiliation:
Department of Industrial Engineering, Texas Tech University, Box 43061, Lubbock, Texas 79409-3061, E-mail: john.kobza@coe.ttu.edu
Joel A. Nachlas
Affiliation:
Department of Industrial Engineering, Texas Tech University, Box 43061, Lubbock, Texas 79409-3061, E-mail: john.kobza@coe.ttu.edu
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Abstract

Single-server queueing systems with mixed traffic are a flexible modeling tool that have been used to analyze polling systems and database striping strategies. They also have applications in manufacturing and telecommunication systems. Ordinary (open) customers arrive according to a Poisson process, receive service, and leave the system. Permanent (closed) customers remain in the system, reentering the queue after receiving service. This work examines the transient behavior of the permanent customers. The cycle times and output/departure process for the permanent customers are described.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 14 , Issue 3 , July 2000 , pp. 335 - 352
Copyright
© 2000 Cambridge University Press

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