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9780935950557
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"The first volume in a new state-of-the-art series of works which are up-to-the-minute in their areas. These are texts and reference works and for the professional in the area; they are definitive and contain new insights on the material. In this book, P.R. Parthasarathy (Indian Institute of Technology, Madras) and R.B. Lenin (University of Antwerp) cover birth and death processes, including the important and difficult transient behavior. They cover such important quantities as transient and stationary distributions and first passage times. The first six chapters cover the theory, and include examples. Chapters 7-10 detail important applications: exact transient solutions of state-dependent many-server queues with balking, discouraged customers, and loss systems (Chapter 7), communication systems (fluid queue and multiprocessor systems) (Chapter 8), chemical models (first order reactions and diatomic systems) (Chapter 9), and biological models of epidemics, superinfection, and density-dependent populations. (Ch. 10). Throughout time-dependent behavior is given for system characteristics in graphs."Parthasarathy, P. R. is the author of 'State-of-the-Art with a Time-Dependent Perspective', published 2004 under ISBN 9780935950557 and ISBN 0935950559.
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