Stable Parametric Programming

Stable Parametric Programming
Author :
Publisher : Springer Science & Business Media
Total Pages : 329
Release :
ISBN-10 : 9781461500117
ISBN-13 : 1461500117
Rating : 4/5 (17 Downloads)

Book Synopsis Stable Parametric Programming by : S. Zlobec

Download or read book Stable Parametric Programming written by S. Zlobec and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Stable Parametric Programming Related Books

Stable Parametric Programming
Language: en
Pages: 329
Authors: S. Zlobec
Categories: Business & Economics
Type: BOOK - Published: 2013-11-21 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 par
Encyclopedia of Optimization
Language: en
Pages: 4646
Authors: Christodoulos A. Floudas
Categories: Mathematics
Type: BOOK - Published: 2008-09-04 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, a
Analog Computer Study of Design Parameter Effects on the Stability of a Direct-acting Gas Pressure Regulator
Language: en
Pages: 52
Authors: Miles O. Dustin
Categories: Gas-governors
Type: BOOK - Published: 1971 - Publisher:

DOWNLOAD EBOOK

Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
Language: en
Pages: 381
Authors: Fiacco
Categories: Computers
Type: BOOK - Published: 1983-11-02 - Publisher: Academic Press

DOWNLOAD EBOOK

Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
Uncertainty-aware Integration of Control with Process Operations and Multi-parametric Programming Under Global Uncertainty
Language: en
Pages: 285
Authors: Vassilis M. Charitopoulos
Categories: Science
Type: BOOK - Published: 2020-02-05 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book introduces models and methodologies that can be employed towards making the Industry 4.0 vision a reality within the process industries, and at the sa