A continuous-time treatment of certain queues and infinite dams-Reference-Cited by-同舟云学术

A continuous-time treatment of certain queues and infinite dams

Published:1962-12 Issue:4 Volume:2 Page:484-498
ISSN:0004-9735
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Loynes R. M.

Abstract

SummaryThe continuous-time behaviour of a model which represents certain queues and infinite dams with correlated inputs is considered. It is shown how the transient behaviour may be investigated, and the asymptotic behaviour is obtained. Finally the methods are illustrated for a queue whose input consists of two superimposed renewal processes.

Publisher

Cambridge University Press (CUP)

Reference12 articles.

1. On the distribution of queueing times

2. Transient Behavior of Single-Server Queueing Processes With Erlang Input

3. A use of complex probabilities in the theory of stochastic processes

4. Loynes R. M. (1961a), “The Stability of a Queue with Non-Independent Inter-Arrival and Service Times”. Proc. Camb. Phil. Soc. (to be published).

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