An Optimization Primer

An optimization problem that turns out to be infeasible or unbounded prompts us to go back and examine the underlying model assumptions. Even when a solution is obtained, we typically would like to assess the validity of the model.

An Optimization Primer

This richly illustrated book introduces the subject of optimization to a broad audience with a balanced treatment of theory, models and algorithms. Through numerous examples from statistical learning, operations research, engineering, finance and economics, the text explains how to formulate and justify models while accounting for real-world considerations such as data uncertainty. It goes beyond the classical topics of linear, nonlinear and convex programming and deals with nonconvex and nonsmooth problems as well as games, generalized equations and stochastic optimization. The book teaches theoretical aspects in the context of concrete problems, which makes it an accessible onramp to variational analysis, integral functions and approximation theory. More than 100 exercises and 200 fully developed examples illustrate the application of the concepts. Readers should have some foundation in differential calculus and linear algebra. Exposure to real analysis would be helpful but is not prerequisite.

More Books:

An Optimization Primer
Language: en
Pages: 676
Authors: Johannes O. Royset, Roger J-B Wets
Categories: Mathematics
Type: BOOK - Published: 2022-03-28 - Publisher: Springer Nature

This richly illustrated book introduces the subject of optimization to a broad audience with a balanced treatment of theory, models and algorithms. Through numerous examples from statistical learning, operations research, engineering, finance and economics, the text explains how to formulate and justify models while accounting for real-world considerations such as
An Optimization Primer
Language: en
Pages: 108
Authors: Lawrence Nazareth
Categories: Mathematics
Type: BOOK - Published: 2004-05-18 - Publisher: Springer Science & Business Media

This book introduces a general audience to the main facets of optimization. Very little mathematical background is assumed. It should appeal to students, teachers, and a general audience interested in how optimization affects their everyday life, such as people in business.
An Optimization Primer
Language: en
Pages: 677
Authors: Johannes O. Royset, Roger J-B. Wets
Categories: Mathematics
Type: BOOK - Published: 2021-10-02 - Publisher: Springer

This richly illustrated book introduces the subject of optimization to a broad audience with a balanced treatment of theory, models and algorithms. Through numerous examples from statistical learning, operations research, engineering, finance and economics, the text explains how to formulate and justify models while accounting for real-world considerations such as
Smart Cities and Homes
Language: en
Pages: 452
Authors: Mohammad S Obaidat, Petros Nicopolitidis
Categories: Computers
Type: BOOK - Published: 2016-05-17 - Publisher: Morgan Kaufmann

Smart Cities and Homes: Key Enabling Technologies explores the fundamental principles and concepts of the key enabling technologies for smart cities and homes, disseminating the latest research and development efforts in the field through the use of numerous case studies and examples. Smart cities use digital technologies embedded across all
Introduction to the Theory of Nonlinear Optimization
Language: en
Pages: 323
Authors: Johannes Jahn
Categories: Business & Economics
Type: BOOK - Published: 2020-07-02 - Publisher: Springer Nature

This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge