An exponential semi-markov process, with applications to queueing theory.
- 1 January 1985
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics. Stochastic Models
- Vol. 1 (2), 137-169
- https://doi.org/10.1080/15326348508807008
Abstract
As an application, such processes are used as input to an exponential server, in order to measure the effect of correlations in the arrival process on the behaviour of the queue.Keywords
This publication has 7 references indexed in Scilit:
- Matrix Iterative AnalysisPublished by Springer Nature ,2000
- A geometric interpretation of the relations between the exponential and generalized Erlang distributionsAdvances in Applied Probability, 1982
- A Phase-Type Semi-Markov Point ProcessSIAM Journal on Algebraic Discrete Methods, 1982
- On a Markovian queue with weakly correlated interarrival timesJournal of Applied Probability, 1981
- Markov chains and processes with a prescribed invariant measureStochastic Processes and their Applications, 1978
- Queues with semi-Markovian arrivalsJournal of Applied Probability, 1967
- Stationary Waiting-Time Distributions for Single-Server QueuesThe Annals of Mathematical Statistics, 1962