Stochastic inequalities between customer-stationary and time-stationary characteristics of queueing systems with point processes
- 1 March 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 17 (03) , 768-777
- https://doi.org/10.1017/s0021900200033878
Abstract
By means of a general intensity conservation principle for stationary processes with imbedded marked point processes (PMP) stochastic inequalities are proved between customer-stationary and time-stationary characteristics of queueing systemsG/G/s/r.Keywords
This publication has 9 references indexed in Scilit:
- Imbedded and non-imbedded stationary characteristics of queueing systems with varying service rate and point processesJournal of Applied Probability, 1980
- A formal approach to queueing processes in the steady state and their applicationsJournal of Applied Probability, 1979
- Average delay in queues with non-stationary Poisson arrivalsJournal of Applied Probability, 1978
- Stochastic processes with imbedded marked point processes (pmp) and thcir application in queneingMathematische Operationsforschung und Statistik. Series Optimization, 1978
- Some explicit formulas for the steady-state behavior of the queue with semi-Markovian service timesAdvances in Applied Probability, 1977
- Further stochastic order relations among GI/GI/1 queues with a common traffic intensityMathematische Operationsforschung und Statistik. Series Optimization, 1977
- STOCHASTIC ORDER RELATIONS AMONG GI/G/1 QUEUES WITH A COMMON TRAFFIC INTENSITYJournal of the Operations Research Society of Japan, 1976
- On some belations between stationary distributions of queue lengths and imbedded queue lengths in g/g/s queueing systemsMathematische Operationsforschung und Statistik, 1976
- On the relation between customer and time averages in queuesJournal of Applied Probability, 1971