TRANSIENT ANALYSIS OF PERMANENT CUSTOMERS IN A SINGLE-SERVER
QUEUE WITH MIXED TRAFFIC
John E. Kobza a1andJoel A. Nachlas a1 a1 Department of Industrial Engineering,
Texas Tech University, Box 43061, Lubbock, Texas
79409-3061, E-mail: john.kobza@coe.ttu.edu a2 Department of Industrial and Systems Engineering
(0118), Virginia Polytechnic Institute and State University,
Blacksburg, Virginia 24061, E-mail: nachlas@vt.edu
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.
