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Title: Multi-channel bulk queueing systems
Author: Baker, R. J.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 1999
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This thesis deals with an area of queueing theory which, despite its obvious applicability to real-life, has received relatively little attention in the literature, the field of bulk-arrival, bulk-service, multi-channel queueing systems. In particular attention is focused on approximating the expected number in the queueing system in a steady state. The aim of this thesis is to provide the practitioner with a straightforward and reasonably accurate mans of calculating the expected number in the system. An introduction will be given to the subject area and the relevant literature will be reviewed. An approximation will be formulated to the mean number of a multi-channel simple queueing system based on the mean number in a single-channel simple queueing system. Multi-channel, bulk arrival systems are then considered. For systems with a fixed arrival batch size two methods are derived to approximate the mean number in the system, one simple straight line based method and one, more complicated, quadratic based approach. Probabilistic arrival batch size distributions are then considered, and a recursive approximation developed to the mean number in the system. The concept of bulk-service is introduced and formulae derived for the mean number in the system for fixed arrival batch sizes and probabilistic arrival batch sizes. Finally attention is given to how the methods derived could be extended to include all possible multi-channel, bulk-arrival and bulk-service queueing systems. Some suggestions for the future are given.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available