Sojourn time distributions in tandem batch-networks

Author:

Harrison Peter1

Affiliation:

1. Imperial College London, UK

Abstract

The joint probability distribution of a customer's sojourn times in passing through a tandem pair of geometric batch-queues is obtained as a Laplace-Stieltjes transform (LST). The results obtained relate to a customer that passes, within a full batch, between the queues rather than being discarded in a partial batch.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Networks and Communications,Hardware and Architecture,Software

Reference3 articles.

1. L. V. Ahlfors. Complex Analysis. McGraw-Hill New York 1966. L. V. Ahlfors. Complex Analysis. McGraw-Hill New York 1966.

2. Product-forms in batch networks: Approximation and asymptotics

3. Separable equilibrium state probabilities via time reversal in Markovian process algebra

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