Abstract
Probability is an exquisitely beautiful field of mathematics that is rich in its depth of deductive reasoning and its diversity of applications. The. theory started in the early 17th century with simple counting arguments that were used to answer questions concerning possible outcomes of games of chance. Over the ensuing years, probability has been established as a key tool in a wide range of fields that are as diverse as biology, chemistry, computer science, finance, medicine, physics, political science and sociology. This breadth of application, also found in calculus which dates from the same era, is a consequence of the fact that the theory has its roots in a branch of mathematics that is blessed with a compelling intuitive component. The full beauty of the subject can be best appreciated when its formal and intuitive aspects are melded together with applications. This motivates our goal; to derive probability in a manner that highlights the complementary nature of its formal, intuitive and applicative aspects.
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Bibliographic Notes
A.O. Allen. Probability, Statistics, and Queuing Theory with Computer Science Applications. Elsevier, 1978.
E.G. Coffman and P.J. Denning. Operating System Theory. Prentice-Hall, 1973.
D. Ferrari. Computer Systems Performance Evaluation. Prentice-Hall, 1978.
E. Gelenbe and I. Mitrani. Analysis and Synthesis of Computer Systems. Academic Press, 1980.
P.G. Harrison and N.M. Patel. Performance Modelling of Commu-
D. P. Heyman and M.J. Sobel. Stochastic Models in Operations Research. Volume I, McGraw Hill, 1982.
K. Kant. Introduction to Computer System Performance Evaluation. McGraw Hill, 1992.
L. Kleinrock. Queueing Systems, Volume II:Applications. Wiley, 1975.
H. Kobayashi. Modeling and Analysis - An Introduction to System Performance Evaluation Methodology. Addison-Wesley, 1978.
S.S. Lavenberg. Computer Performance Modeling Handbook. Academic Press, 1983.
E.D. Lazowska, J. Zahorjan, G.S. Graham, and K.C. Sevcik. Quantitative System Performance, Computer System Analysis using Queueing Network Models. Prentice Hall, 1984.
M.K. Molloy. Fundamentals of Performance Modeling. Macmillan, 1989.
T. G. Robertazzi. Computer Networks and Systems: Queueing Theory and Performance Evaluation. Springer-Verlag, 1990.
S.M. Ross. Applied Probability Models with Optimization Applications. Holden-Day, 1970.
C. H. Sauer and K. M. Chandy. Computer Systems Performance Modeling. Prentice-Hall, 1981.
C.H. Sauer and E.A. MacNair. Simulation of Computer Communications Systems. Prentice-Hall, 1983.
K.S. Trivedi. Probability and Statistics with Reliability, Queuing, and Computer Science Applications. Prentice Hall, 1982.
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Nelson, R. (1995). Introduction. In: Probability, Stochastic Processes, and Queueing Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2426-4_1
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DOI: https://doi.org/10.1007/978-1-4757-2426-4_1
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