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Markovian Demand Inventory Models - Dirk Beyer, Feng Cheng, Suresh P. Sethi, Michael Taksar

Markovian Demand Inventory Models

Buch | Softcover
255 Seiten
2012 | 2010 ed.
Springer-Verlag New York Inc.
978-1-4614-2466-6 (ISBN)
CHF 179,70 inkl. MwSt
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Moreover, these events are represented by stochastic processes - exogenous or controlled.In Markovian Demand Inventory Models, the authors are concerned with inventory models where these world events are modeled by Markov processes.
Inventory management is concerned with matching supply with demand and a central problem in Operations Management. The problem is to find the amount to be produced or purchased in order to maximize the total expected profit or minimize the total expected cost. Over the past two decades, several variations of the formula appeared, mostly in trade journals written by and for inventory managers. A critical assumption in the inventory literature is that the demands in different periods are independent and identically distributed. However, in real life, demands may depend on environmental considerations or the events in the world such as the weather, the state of economy, etc. Moreover, these events are represented by stochastic processes - exogenous or controlled.


In Markovian Demand Inventory Models, the authors are concerned with inventory models where these world events are modeled by Markov processes. Their research on Markovian demand inventory models was carried out over a period of ten years beginning in the early nineties.

I INTRODUCTION.- II DISCOUNTED COST MODELS.- Discounted Cost Models with Backorders.- Discount Cost Models with Polynomially Growing Surplus Cost.- Discounted Cost Models with Lost Sales.- III AVERAGE COST MODELS.- Average Cost Models with Backorders.- Average Cost Models with Polynomially Growing Surplus Cost.- Average Cost Models with Lost Sales.- IV MISCELLANEOUS.- Models with Demand Influenced by Promotion.- Vanishing Discount Approach Versus Stationary Distribution Approach.- V CONCLUSIONS AND OPEN RESEARCH PROBLEMS.- Conclusions and Open Research Problems.

Reihe/Serie International Series in Operations Research Management Science ; 108
Zusatzinfo 15 Illustrations, black and white; XX, 255 p. 15 illus.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Technik Elektrotechnik / Energietechnik
Wirtschaft Allgemeines / Lexika
Wirtschaft Betriebswirtschaft / Management Logistik / Produktion
Wirtschaft Betriebswirtschaft / Management Projektmanagement
Schlagworte base-stock policy • controlled Markov process • Dynamic Programming • Inventory theory • long-run average cost • Markovian demand • optimal feedback policy • (s,S) policy • vanishing discount approach
ISBN-10 1-4614-2466-6 / 1461424666
ISBN-13 978-1-4614-2466-6 / 9781461424666
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