A cyclic queueing network with dependent exponential service times
By: by P.A. Jacobs
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1977
Place of publication: Monterey, Calif
Language: eng
Number of pages: 31
Subjects: Time-series analysis; Multiprogramming (Electronic computers); Queuing theory; Random variables
Description: A cyclic queueing network with two servers and a finite number of customers is studied. The service times for server 1 form an EARMA(1,1) process (exponential mixed autoregressive moving average process both of order 1) which is a sequence of positively correlated exponential random variables; the process in general is not Markovian. The service times for the other server are independent with a common exponential distribution. Limiting results for the number of customers in queue and the virtual waiting time at server 1 are obtained. Comparisons are made with the case of independent exponential service times for server 1. (Author)
Notes: Title from cover.

"Prepared for: Chief of Naval Research"--Cover.

"July 1977"--Cover.

"NPS-55-77-40"--Cover.

Includes bibliographical references (p. 30-31).

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1977.