On the distribution of queueing times
- 1 July 1953
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 49 (3) , 449-461
- https://doi.org/10.1017/s0305004100028620
Abstract
The hypothetical model that we shall be considering in this paper is referred to as the single-server queue, and the details of this model are given in a recent paper by Lindley(5). The present treatment involves exactly the same assumptions as Lindley has given already, and we refer to his paper for a rigorous statement of them. Briefly, we shall be assuming general independent service times and general independent input or arrival times. Theoretical studies of the single-server queue are capable of wide applications, many of which are described in a paper by Kendall (4) and in the discussion to that paper.Keywords
This publication has 3 references indexed in Scilit:
- The theory of queues with a single serverMathematical Proceedings of the Cambridge Philosophical Society, 1952
- Singular Integral Equations†Proceedings of the London Mathematical Society, 1940
- ber eine Aufgabe der Wahrscheinlichkeitstheorie. IMathematische Zeitschrift, 1930