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We attempt to answer two questions; for q greater than one, when is a simple (2q-l)-knot the branched cyclic cover of another such knot? and, for q sufficiently large to ensure the existence of an appropriate classification theorem, when is a (2q)-knot the m-twist-spin of such a knot? The methods used will be mainly algebraic, including some arising from the theory of projective modules over an integral group ring. The work is original except where references indicate otherwise; part of chapter 1 has been published previously as [St].

Thesis (M.A.)--Boston University / PLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you. / The thesis deals with some of the mathematical techniques that are used in solving queueing theory problems. The organization of the paper is basically the same as that used by Goddard [3] in his treatment of queueing theory. The first method investigated is the analysis of queueing problems as Markovian processes. This analysis is due to D. G. Kendall [4,5] and is primarily for the case M/G/1. Formulas are found for E(n) and E(w). The limitations of this method in dealing with more general queues are mentioned. For the case M/M/s, the differential-difference equations are developed with examples of their use in machine breakdown problems and telephone trunk line congestion. The treatment is primarily for the case in which the system is in statistical equilibrium. The uses of Laplace transforms and probability generating functions are illustrated by Pollazoek's method of finding the moments of the waiting time distribution for the queue M/G/1. They are also shown in finding Pn(t) and Pn in an example of welders using a power supply. A method of expressing the distribution of the waiting time for the queue G/G/1, due to Lindley [7], is outlined at the conclusion of the paper. The result is an expression for the waiting time distribution in terms of the density function of the difference between the service time and inter-arrival time, rather than either density function separately. / 2031-01-01

In an emergency department (ED), information flow is of high value, as the ability to react quickly directly affects the patients’ well being. One of the gaps in the information flow is in the order tracking process. This paper focuses on modelling the feedback in this process from the order being issued until it has been fulfilled. We address this problem using discrete-event simulation. Additionally, we use the mathematical theory of communication to evaluate the information con- tent in the current and proposed systems. We perform computational tests on these models to compare their performance. Experimental results show that the problem can be effectively modelled using our approach and the effects of feedback on the physician decision-making can be better understood. The results indicate that additions of as little as one point of feedback have practically significant effects on the amount of time that an order spends in the system.

In an emergency department (ED), information flow is of high value, as the ability to react quickly directly affects the patients’ well being. One of the gaps in the information flow is in the order tracking process. This paper focuses on modelling the feedback in this process from the order being issued until it has been fulfilled. We address this problem using discrete-event simulation. Additionally, we use the mathematical theory of communication to evaluate the information con- tent in the current and proposed systems. We perform computational tests on these models to compare their performance. Experimental results show that the problem can be effectively modelled using our approach and the effects of feedback on the physician decision-making can be better understood. The results indicate that additions of as little as one point of feedback have practically significant effects on the amount of time that an order spends in the system.