Sheskin, Theodore J. Markov Chains and Decision Processes for Engineers and Managers 9780367383435

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Автор: Sheskin, Theodore J.
Название: Markov Chains and Decision Processes for Engineers and Managers
ISBN: 9780367383435
Издательство: Taylor&Francis
Классификация:

Вероятность и статистика

ISBN-10: 0367383438
Обложка/Формат: Paperback
Страницы: 492
Вес: 2.00 кг.
Дата издания: 27.09.2019
Язык: English
Размер: 231 x 155 x 25
Читательская аудитория: Tertiary education (us: college)
Основная тема: Probability Theory & Applications
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Recognized as a powerful tool for dealing with uncertainty, Markov modeling can enhance your ability to analyze complex production and service systems. However, most books on Markov chains or decision processes are often either highly theoretical, with few examples, or highly prescriptive, with little justification for the steps of the algorithms used to solve Markov models. Providing a unified treatment of Markov chains and Markov decision processes in a single volume, Markov Chains and Decision Processes for Engineers and Managers supplies a highly detailed description of the construction and solution of Markov models that facilitates their application to diverse processes.

Organized around Markov chain structure, the book begins with descriptions of Markov chain states, transitions, structure, and models, and then discusses steady state distributions and passage to a target state in a regular Markov chain. The author treats canonical forms and passage to target states or to classes of target states for reducible Markov chains. He adds an economic dimension by associating rewards with states, thereby linking a Markov chain to a Markov decision process, and then adds decisions to create a Markov decision process, enabling an analyst to choose among alternative Markov chains with rewards so as to maximize expected rewards. An introduction to state reduction and hidden Markov chains rounds out the coverage.

In a presentation that balances algorithms and applications, the author provides explanations of the logical relationships that underpin the formulas or algorithms through informal derivations, and devotes considerable attention to the construction of Markov models. He constructs simplified Markov models for a wide assortment of processes such as the weather, gambling, diffusion of gases, a waiting line, inventory, component replacement, machine maintenance, selling a stock, a charge account, a career path, patient flow

Markov Chains and Decision Processes for Engineers and Managers, Sheskin, Theodore J.