Accession Number:

ADA050219

Title:

A Cyclic Queueing Network with Dependent Exponential Service Times

Descriptive Note:

Technical rept.

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

1977-07-01

Pagination or Media Count:

36.0

Abstract:

A cyclic queueing network with two servers and a finite number of customers is studied. The service times for server 1 form an EARMA1,1 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.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE