Building and Solving Mathematical Programming Models

50 Practical Examples

José Manuel García Sánchez

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English

Springer Nature Switzerland AG
14 May 2023

Management decision making; Operational research; Mathematical logic; Optimisation; Mathematical modelling

Series: International Series in Operations Research & Management Science

This book presents the construction and resolution of 50 practical optimization problems and covers an exceptionally wide range, including games-associated problems (Unblock Me, Sudokus), logistical problems, and problems concerning plant distribution, production, operations scheduling, management and resource allocation.

The problems are divided into 5 difficulty levels. Problems in the first few levels are focused on learning the model construction methodology, while those in the last level include complex optimization environments. For each problem solution, the specific steps are illustrated, promoting reader comprehension.

In addition, all the models are implemented in an optimization library, LINGO, their solutions have been analyzed and their correct construction has been verified. The book also includes a simple guide to implementing models in LINGO in a straightforward manner and in any input data format (text files, spreadsheets or databases).

As anideal companion to the author’s previously published work Modelling in Mathematical Programming, the book is intended as a basic tool for students of operations research, and for researchers in any advanced area involving mathematical programming.

By: José Manuel García Sánchez
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2022 ed.
Volume: 329
Dimensions: Height: 235mm, Width: 155mm,
Weight: 635g
ISBN: 9783030976286
ISBN 10: 3030976289
Series: International Series in Operations Research & Management Science
Pages: 401
Publication Date: 14 May 2023
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Introduction to Modeling Methodology.- 2. Building and Solving Models with LINGO.- 3. Low-Level Problems.- 4. Low-Medium Level Problems.- 5. Medium Level Problems.- 6. Medium-High Level Problems.- 7. High-Level Problems.

José Manuel García Sánchez is an Associate Professor at the Department of Industrial Organization and Business Management, Higher Technical School of Engineering, University of Seville, Spain. His research interests include Optimization, Scheduling, Mathematical Programming, Production Management, Statistics and Operations Research, Metaheuristic Techniques, and Modelling of Mathematical Programming.

Reviews for Building and Solving Mathematical Programming Models: 50 Practical Examples

“The book shows through 50 examples how practical problems can be modelled as optimization problems and how these optimization problems can be implemented and solved in the optimization library LINGO. It is intended as a companion to the author’s book … .” (Florian Mannel, zbMATH 1516.90001, 2023)