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Stable Parametric Programming by S. Zlobec (Paperback, 2013)

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Optimality and stability are two important notions in applied mathematics. This book is a study of these notions and their relationship in linear and convex parametric programming models. It begins with a survey of basic optimality conditions in nonlinear programming. Then new results in convex programming, using LFS functions, for single-objective, multi-objective, differentiable and non-smooth programs are introduced. Parametric programming models are studied using basic tools of point-to-set topology. Stability of the models is introduced, essentially, as continuity of the feasible set of decision variables under continuous perturbations of the parameters. Perturbations that preserve this continuity are regions of stability. It is shown how these regions can be identified. The main results on stability are characterizations of locally and globally optimal parameters for stable and also for unstable perturbations. The results are straightened for linear models and bi-level programs. Some of the results are extended to abstract spaces after considering parameters as `controls'. Illustrations from diverse fields, such as data envelopment analysis, management, von Stackelberg games of market economy, and navigation problems are given and several case studies are solved by finding optimal parameters. The book has been written in an analytic spirit. Many results appear here for the first time in book form. Audience: The book is written at the level of a first-year graduate course in optimization for students with varied backgrounds interested in modeling of real-life problems. It is expected that the reader has been exposed to a prior elementary course in optimization, such as linear or non-linear programming. The last section of the book requires some knowledge of functional analysis.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461348856
eBay Product ID (ePID)
208761704

Product Key Features

Subject Area
Data Analysis
Author
S. Zlobec
Publication Name
Stable Parametric Programming
Format
Paperback
Language
English
Subject
Economics, Mathematics, Management, Business
Publication Year
2013
Type
Textbook
Number of Pages
322 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
57
Item Weight
534g

Additional Product Features

Title_Author
S. Zlobec
Series Title
Applied Optimization
Country/Region of Manufacture
United States

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Stable Parametric Programming by S. Zlobec (Paperback, 2013)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Ford Falcon EF, EL/Fairlane NF, NL/LTD DF, DL 1994-1998 Haynes Workshop Manual

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Michael Price Nick Vandome Windows 11 for Seniors in easy steps (Paperback)

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