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Robust Discrete Optimization and Its Applications

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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 201/5 ( reviews)

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Book Synopsis Robust Discrete Optimization and Its Applications by : Panos Kouvelis

Download or read book Robust Discrete Optimization and Its Applications written by Panos Kouvelis. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with decision making in environments of significant data un certainty, with particular emphasis on operations and production management applications. For such environments, we suggest the use of the robustness ap proach to decision making, which assumes inadequate knowledge of the decision maker about the random state of nature and develops a decision that hedges against the worst contingency that may arise. The main motivating factors for a decision maker to use the robustness approach are: • It does not ignore uncertainty and takes a proactive step in response to the fact that forecasted values of uncertain parameters will not occur in most environments; • It applies to decisions of unique, non-repetitive nature, which are common in many fast and dynamically changing environments; • It accounts for the risk averse nature of decision makers; and • It recognizes that even though decision environments are fraught with data uncertainties, decisions are evaluated ex post with the realized data. For all of the above reasons, robust decisions are dear to the heart of opera tional decision makers. This book takes a giant first step in presenting decision support tools and solution methods for generating robust decisions in a variety of interesting application environments. Robust Discrete Optimization is a comprehensive mathematical programming framework for robust decision making.

Robust Optimization

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Release : 2009-08-10
Genre : Mathematics
Kind : eBook
Book Rating : 059/5 ( reviews)

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Book Synopsis Robust Optimization by : Aharon Ben-Tal

Download or read book Robust Optimization written by Aharon Ben-Tal. This book was released on 2009-08-10. Available in PDF, EPUB and Kindle. Book excerpt: Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide a comprehensive and up-to-date account of the subject. Robust optimization is designed to meet some major challenges associated with uncertainty-affected optimization problems: to operate under lack of full information on the nature of uncertainty; to model the problem in a form that can be solved efficiently; and to provide guarantees about the performance of the solution. The book starts with a relatively simple treatment of uncertain linear programming, proceeding with a deep analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach. It then develops the robust optimization theory for uncertain conic quadratic and semidefinite optimization problems and dynamic (multistage) problems. The theory is supported by numerous examples and computational illustrations. An essential book for anyone working on optimization and decision making under uncertainty, Robust Optimization also makes an ideal graduate textbook on the subject.

Robust Data Mining

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Release : 2012-11-28
Genre : Mathematics
Kind : eBook
Book Rating : 780/5 ( reviews)

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Book Synopsis Robust Data Mining by : Petros Xanthopoulos

Download or read book Robust Data Mining written by Petros Xanthopoulos. This book was released on 2012-11-28. Available in PDF, EPUB and Kindle. Book excerpt: Data uncertainty is a concept closely related with most real life applications that involve data collection and interpretation. Examples can be found in data acquired with biomedical instruments or other experimental techniques. Integration of robust optimization in the existing data mining techniques aim to create new algorithms resilient to error and noise. This work encapsulates all the latest applications of robust optimization in data mining. This brief contains an overview of the rapidly growing field of robust data mining research field and presents the most well known machine learning algorithms, their robust counterpart formulations and algorithms for attacking these problems. This brief will appeal to theoreticians and data miners working in this field.

Handbook on Modelling for Discrete Optimization

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Release : 2006-08-18
Genre : Mathematics
Kind : eBook
Book Rating : 420/5 ( reviews)

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Book Synopsis Handbook on Modelling for Discrete Optimization by : Gautam M. Appa

Download or read book Handbook on Modelling for Discrete Optimization written by Gautam M. Appa. This book was released on 2006-08-18. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to demonstrate and detail the pervasive nature of Discrete Optimization. The handbook couples the difficult, critical-thinking aspects of mathematical modeling with the hot area of discrete optimization. It is done with an academic treatment outlining the state-of-the-art for researchers across the domains of the Computer Science, Math Programming, Applied Mathematics, Engineering, and Operations Research. The book utilizes the tools of mathematical modeling, optimization, and integer programming to solve a broad range of modern problems.

An Introduction to Robust Combinatorial Optimization

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Genre :
Kind : eBook
Book Rating : 612/5 ( reviews)

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Book Synopsis An Introduction to Robust Combinatorial Optimization by : Marc Goerigk

Download or read book An Introduction to Robust Combinatorial Optimization written by Marc Goerigk. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

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