Markov Chains and Decision Processes for Engineers and Managers
Autor Theodore J. Sheskinen Limba Engleză Paperback – 19 sep 2019
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
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Specificații
ISBN-13: 9780367383435
ISBN-10: 0367383438
Pagini: 492
Dimensiuni: 156 x 234 x 25 mm
Greutate: 0.59 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
ISBN-10: 0367383438
Pagini: 492
Dimensiuni: 156 x 234 x 25 mm
Greutate: 0.59 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Public țintă
Professional Practice & DevelopmentCuprins
Markov Chain Structure and Models. Regular Markov Chains. Reducible Markov Chains. A Markov Chain with Rewards (MCR). A Markov Decision Process (MDP). Special Topics: State Reduction and Hidden Markov Chains. Index.
Descriere
This book presents an introduction to finite Markov chains and Markov decision processes, with applications in engineering and management. It introduces discrete-time, finite-state Markov chains, and Markov decision processes. The text describes both algorithms and applications, enabling students to understand the logical basis for the algorithms and be able to apply them. The applications address problems in government, business, and nonprofit sectors. The author uses Markov models to approximate the random behavior of complex systems in diverse areas, such as management, production, science, health services, finance, and marketing.