Thesis (M. Phil.)--University of Hong Kong, 1994. / Includes bibliographical references (leaves 43-45).

Thesis (Ph. D.)--Carleton University, 1988. / Also available in electronic format on the Internet.

Thesis--Amsterdam. / Summary in English and Dutch. Includes bibliographical references (p. 87-88).

Thesis (M.S.)--University of Wisconsin--Madison, 1970. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis--Wisconsin. / Vita. Includes bibliographical references (leaves 108-110).

Thesis (M.S.)--University of Wisconsin--Madison, 1962. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 68-70).

Thesis (Ph. D.)--School of Computing and Engineering. University of Missouri--Kansas City, 2006. / "A dissertation in telecommunications networking and computer networking." Advisor: Appie van de Liefvoort. Typescript. Vita. Title from "catalog record" of the print edition Description based on contents viewed Jan. 29, 2007. Includes bibliographical references (leaves 108-116). Online version of the print edition.

Bibliography: leaves 145-150. A MAP/PH/1 queue is a queue having a Markov arrival process (MAP), and a single server with phase-type (PH-type) distributed service time. This thesis considers the departure process of these types of queues, using matrix analytic methods, the Jordan canonical form of matrices, non-linear filtering and approximation techniques.

A number of on-line control methods have been studied for the operational control of a queuing system. Time-series models have been used, in contrast to the probability models usual in the traditional approach to such problems. It is shown that most queuing processes can be formulated as multistage control problems to which modern control theory can be applied. The various control techniques applicable to a queuing system can be divided into two classes: decision and regulator control. In obtaining the control strategies, this thesis draws heavily from dynamic programming, least-squares estimation, the discrete maximum principle and gradient techniques. The uncertainties encountered in the queuing system can be overcome with an adaptive control method. The open-loop-feedback-optimal control technique has been stressed here due to its simplicity. Applications of the methods to various fields have also been studied. Extension of the method to long interval control is immediate in all the cases. Although the optimal control of a queuing system has been discussed, the methods are general enough to be applied to other areas. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

This thesis attempts to evaluate Low's hypothesis that for a single channel, single phase, steady state, infinite queue, the system length depends only on (1) the square of the coefficient of variation of the inter-arrival time distribution, C[formula omitted],(2) the square of the coefficient of variation of the service time distribution, C[formula omitted], and (3) the ratio of mean arrival rate to mean service rate [formula omitted]. In order to support the hypothesis, Low developed a set of curves by using simulation method. However, his simulation model is considered inadequate in representing actual queueing situation. A different simulation model has been employed instead and is used to test the classical queue models as well as the general arbitrary queues. The conclusion has been reached that in spite of the differences between the actual and expected results, the hypothesis is empirically true. Moreover, for any single channel queue with given values of C[formula omitted] and C[formula omitted], the system length L increases exponentially with the utilization factor, regardless of the patterns of arrival and service time distributions. The reader is expected to have a basic knowledge of standard queueing theory and some of its applications. / Business, Sauder School of / Graduate