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

Authors:
John E. Kobza;Joel A. Nachlas
Affiliations:
Department of Industrial Engineering, Texas Tech University, Box 43061, Lubbock, Texas 79409-3061, E-mail: john.kobza@coe.ttu.edu;Department of Industrial Engineering, Texas Tech University, Box 43061, Lubbock, Texas 79409-3061, E-mail: john.kobza@coe.ttu.edu
Venue:
Probability in the Engineering and Informational Sciences
Year:
2000

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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.