The continuity of queues
- 1 March 1974
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 6 (1) , 175-183
- https://doi.org/10.2307/1426213
Abstract
Kennedy (1972) showed that the standard single-server queueing model is continuous. These results are extended to the standard multi-server model here. Even when there is only one server, an additional condition is needed for the queue length process.Keywords
This publication has 12 references indexed in Scilit:
- Bounds on the Wait in a GI/M/k QueueManagement Science, 1973
- Stochastic Order Relationships Between GI/G/k SystemsThe Annals of Mathematical Statistics, 1972
- The continuity of the single server queueJournal of Applied Probability, 1972
- The continuity of the single server queueJournal of Applied Probability, 1972
- On the work load process in a general preemptive resume priority queueJournal of Applied Probability, 1972
- Monotonieeigenschaften stochastischer ModelleZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1972
- Some Inequalities for Parallel-Server QueuesOperations Research, 1971
- On the Waiting Time in the Queuing System GI/G/1The Annals of Mathematical Statistics, 1970
- Poisson Counts for Random Sequences of EventsThe Annals of Mathematical Statistics, 1963
- On the theory of queues with many serversTransactions of the American Mathematical Society, 1955