Positive correlations in a three-node Jackson queueing network-Reference-Cited by-同舟云学术

Positive correlations in a three-node Jackson queueing network

Published:1989-03 Issue:1 Volume:21 Page:241-242
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Foley Robert D.,Kiessler Peter C.

Abstract

We show for the three-node Jackson network studied in [3] that a customer’s sojourn times in nodes 1 and 3 are positively correlated. We actually prove a stronger result, that the two sojourn times are associated random variables. Our proof uses a stochastic ordering argument similar to that in [4].

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference5 articles.

1. Comparing counting processes and queues

2. Kiessler P. C. , Melamed B. , Yadin M. and Foley R. D. (1988) Analysis of a three node queueing network, Queueing Syst. Theory Appl. To appear.

3. Note—Some Results on Sojourn Times in Acyclic Jackson Networks

4. The amount of overtaking in a network of queues

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