Overview
- Covers both basic levels of modelling in mathematical programming and advanced levels of modelling on complex optimization problems
- Establishes a methods for modeling optimization problems
- Includes a chapter of problem examples with solutions
Part of the book series: International Series in Operations Research & Management Science (ISOR, volume 298)
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Table of contents (9 chapters)
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Front Matter
Keywords
About this book
This book provides basic tools for learning how to model in mathematical programming, from models without much complexity to complex system models. It presents a unique methodology for the building of an integral mathematical model, as well as new techniques that help build under own criteria.
It allows readers to structure models from the elements and variables to the constraints, a basic modelling guide for any system with a new scheme of variables, a classification of constraints and also a set of rules to model specifications stated as logical propositions, helping to better understand models already existing in the literature. It also presents the modelling of all possible objectives that may arise in optimization problems regarding the variables values.
The book is structured to guide the reader in an orderly manner, learning of the components that the methodology establishes in an optimization problem. The system includes the elements, which are all the actors that participate in the system, decision activities that occur in the system, calculations based on the decision activities, specifications such as regulations, impositions or actions of defined value and objective criterion, which guides the resolution of the system.
Authors and Affiliations
About the author
Jose Manuel Garcia Sanchez is an Associate Professor in the Department of Industrial Organization and Business Management in the 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 Modeling of Mathematical Programming.
Bibliographic Information
Book Title: Modelling in Mathematical Programming
Book Subtitle: Methodology and Techniques
Authors: José Manuel García Sánchez
Series Title: International Series in Operations Research & Management Science
DOI: https://doi.org/10.1007/978-3-030-57250-1
Publisher: Springer Cham
eBook Packages: Business and Management, Business and Management (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-57249-5Published: 01 November 2020
Softcover ISBN: 978-3-030-57252-5Published: 02 November 2021
eBook ISBN: 978-3-030-57250-1Published: 31 October 2020
Series ISSN: 0884-8289
Series E-ISSN: 2214-7934
Edition Number: 1
Number of Pages: XI, 284
Number of Illustrations: 18 b/w illustrations, 9 illustrations in colour
Topics: Operations Research/Decision Theory, Operations Research, Management Science