Positive correlations in a three-node Jackson queueing network
- 1 March 1989
- journal article
- letter
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 21 (01) , 241-242
- https://doi.org/10.1017/s0001867800017341
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].Keywords
This publication has 3 references indexed in Scilit:
- The amount of overtaking in a network of queuesNetworks, 1984
- Comparing counting processes and queuesAdvances in Applied Probability, 1981
- Note—Some Results on Sojourn Times in Acyclic Jackson NetworksManagement Science, 1979