Exponential spectra as a tool for the study of server-systems with several classes of customers
- 1 March 1978
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 15 (1) , 162-170
- https://doi.org/10.2307/3213246
Abstract
For a single-server system having several Poisson streams of customers with exponentially distributed service times, busy period densities, waiting time densities, and idle state probabilities are completely monotone. The exponential spectra for such densities are of importance for understanding the transient behavior of such systems. Algorithms are given for the computation of such spectra. Applications to heavy traffic situations and priority systems are also discussed.Keywords
This publication has 7 references indexed in Scilit:
- Sojourn times, exit times and jitter in multivariate Markov processesAdvances in Applied Probability, 1974
- Mixtures of Distributions, Moment Inequalities and Measures of Exponentiality and NormalityThe Annals of Probability, 1974
- On exponential ergodicity and spectral structure for birth-death processes IStochastic Processes and their Applications, 1973
- Some comments on single-server queuing methods and some new resultsMathematical Proceedings of the Cambridge Philosophical Society, 1964
- The Time Dependence of a Single-Server Queue with Poisson Input and General Service TimesThe Annals of Mathematical Statistics, 1962
- Queues Subject to Service InterruptionThe Annals of Mathematical Statistics, 1962
- On Time Dependent Queuing ProcessesThe Annals of Mathematical Statistics, 1960