The queue GI/GI/k: finite moments of the cycle variables and uniform rates of convergence
- 1 January 1985
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics. Stochastic Models
- Vol. 1 (2) , 221-238
- https://doi.org/10.1080/15326348508807012
Abstract
We study the classical multi-server queue and establish finite geometric moments and φ moments of the cycle variables: here where n is integer and φ0 is concave. More generally, we consider systems with different initial conditions and prove moment and stochastic domination results for the delay variables. This together with the general results of [3] yields ergodic results for the time and customer dependent processes.Keywords
This publication has 2 references indexed in Scilit:
- The coupling of regenerative processesAdvances in Applied Probability, 1983
- Embedded renewal processes in theGI/G/squeueJournal of Applied Probability, 1972