Imbedded and non-imbedded stationary characteristics of queueing systems with varying service rate and point processes
- 1 September 1980
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 17 (3) , 753-767
- https://doi.org/10.2307/3212969
Abstract
In this paper a unified approach is used for proving relationships between customer-stationary and time-stationary characteristics of service systems with varying service rate and point processes. This approach is based on an intensity conservation principle for general stationary continuous-time processes with imbedded stationary marked point processes. It enables us to work under weaker independence assumptions than usual in queueing theory.Keywords
This publication has 20 references indexed in Scilit:
- Stochastic inequalities between customer-stationary and time-stationary characteristics of queueing systems with point processesJournal of Applied Probability, 1980
- Stochastic processes with imbedded marked point processes (pmp) and thcir application in queneingMathematische Operationsforschung und Statistik. Series Optimization, 1978
- Existence, Uniqueness and Continuity of Stationary Distributions for Queueing Systems without DelayMathematische Nachrichten, 1978
- Level Crossings in Point Processes Applied to Queues: Single-Server CaseOperations Research, 1977
- On up- and downcrossingsJournal of Applied Probability, 1977
- Steady-state distributions of queue length in the GI/G/s queueApplicationes Mathematicae, 1977
- Steady-state distributions of piecewise Markov processesApplicationes Mathematicae, 1976
- On Regenerative Processes in Queueing TheoryPublished by Springer Nature ,1976
- Technical Note—The Expected Number of Idle Servers in a Queuing SystemOperations Research, 1974
- Piecewise Markov ProcessesSIAM Journal on Applied Mathematics, 1973