论文信息 - The continuity of queues

The continuity of queues

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.

W. Whitt

[1] J. Kiefer,et al. On the theory of queues with many servers , 1955 .

[2] G. Luchak,et al. The Continuous Time Solution of the Equations of the Single Channel Queue with a General Class of Service‐Time Distributions by the Method of Generating Functions , 1958 .

[3] J. Kingman. POISSON COUNTS FOR RANDOM SEQUENCES OF EVENTS , 1963 .

[4] W. Whitt. WEAK CONVERGENCE THEOREMS FOR QUEUES IN HEAVY TRAFFIC. , 1968 .

[5] R. Schassberger,et al. On the Waiting Time in the Queuing System GI/G/1 , 1970 .

[6] Shelby L. Brumelle. Some Inequalities for Parallel-Server Queues , 1971, Oper. Res..

[7] David R. Jacobs,et al. Stochastic Order Relationships Between GI/G/k Systems , 1972 .

[8] R. Schassberger. On the work load process in a general preemptive resume priority queue , 1972 .

[9] D. Stoyan. Monotonieeigenschaften stochastischer Modelle , 1972 .

[10] D. P. Kennedy. THE CONTINUITY OF THE SINGLE SERVER QUEUE , 1972 .

[11] Shelby L. Brumelle. Bounds on the Wait in a GI/M/k Queue , 1973 .

[12] S. Ross. Bounds on the delay distribution in GI/G/1 queues , 1974, Journal of Applied Probability.

[13] Oliver S. Yu. Stochastic bounds for heterogeneous-server queues with Erlang service times , 1974 .