THE TIME-TO-EMPTY FOR TANDEM JACKSON NETWORKS-Reference-Cited by-同舟云学术

THE TIME-TO-EMPTY FOR TANDEM JACKSON NETWORKS

Published:2004-10 Issue:4 Volume:18 Page:493-502
ISSN:0269-9648
Container-title:Probability in the Engineering and Informational Sciences
language:en
Short-container-title:Prob. Eng. Inf. Sci.

Author:

Zazanis Michael A.

Abstract

We derive the distribution of the time-to-empty for an open tandem Jackson network assuming that while in equilibrium at time 0, the arrival stream is suddenly shut off. The analysis is based on analogous results regarding the distribution of the time-to-empty for the corresponding closed tandem Jackson network. The results obtained are used in the analysis of a two-class tandem Jackson network with FIFO discipline in which customers of the second class have negligible service times.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

Reference12 articles.

1. Introduction to Stochastic Networks

2. Sevcik, K.C. & Mitrani, I. (1981).The distribution of queueing network states at input and outputinstants.Journal of the Association for Computing Machines 28:358–371.

3. Zazanis, M.A. (1998).Functional versions of Little's law.Stochastic Processes and Their Applications 74(2):195–201.

4. Haji, R. & Newell, G.F. (1971).A relation between stationary queue and waiting–timedistributions.Journal of Applied Probability 8:617–620.

5. Lavenerg, S.S. & Reiser, M. (1980).Stationary state probabilities at arrival instants for closedqueueing networks with multiple types of customers.Journal of Applied Probability 17:1048–1061.