Combinatorial techniques for M/G/1-type queues

Autor: G. Mercankosk, G. M. Nair, W. J. Soet
Rok vydání: 2001
Předmět:
Zdroj: Journal of Applied Probability. 38:722-736
ISSN: 1475-6072
0021-9002
DOI: 10.1017/s0021900200018878
Popis: The application of the generalised ballot theorem to queueing theory leads to elegant results for the simple M/G/1 queue. It is thought that such results are not possible for more general M/G/1-type queues. We, however, derive a batch ballot theorem which can be applied to derive the first passage distribution matrix, G , for the general M/G/1-type queue.
Databáze: OpenAIRE