Introduction to Modelling in Mathematical Programming
This chapter provides an overview of the concept of model in mathematical programming. The classical components of a mathematical programming model are presented as well as a classification of mathematical programming models. A first example of a simple o
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José Manuel García Sánchez
Modelling in Mathematical Programming Methodology and Techniques
International Series in Operations Research & Management Science Volume 298
Series Editor Camille C. Price Department of Computer Science, Stephen F. Austin State University, Nacogdoches, TX, USA Associate Editor Joe Zhu Foisie Business School, Worcester Polytechnic Institute, Worcester, MA, USA Founding Editor Frederick S. Hillier Stanford University, Stanford, CA, USA
More information about this series at http://www.springer.com/series/6161
José Manuel García Sánchez
Modelling in Mathematical Programming Methodology and Techniques
José Manuel García Sánchez IO and Business Management University of Seville Sevilla, Sevilla, Spain
ISSN 0884-8289 ISSN 2214-7934 (electronic) International Series in Operations Research & Management Science ISBN 978-3-030-57249-5 ISBN 978-3-030-57250-1 (eBook) https://doi.org/10.1007/978-3-030-57250-1 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To Carmen, for her unconditional support. To Laura and Sara. To my family.
Preface
Generally, modelling has been considered a little regulated technique, based on knowledge of the types of optimization problems and the experience of the modeler. This book presents the first methodology for the building of a mathematical model in an integral way, as well as new techniques that help us if we want to follow our own building criteria. The objective is to provide a simple work dynamic that facilitates the modelling process. The book is a basic tool for learning to model in mathematical programming, from model
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