𝔖 Scriptorium
✦   LIBER   ✦

📁

Modelling in Mathematical Programming: Methodology and Techniques

✍ Scribed by José Manuel García Sánchez


Publisher
Springer International Publishing;Springer
Year
2021
Tongue
English
Leaves
290
Series
International Series in Operations Research & Management Science 298
Edition
1st ed.
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


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, whichare 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.

✦ Table of Contents


Front Matter ....Pages i-xi
Introduction to Modelling in Mathematical Programming (José Manuel García Sánchez)....Pages 1-12
Structure of a Mathematical Programming Model (José Manuel García Sánchez)....Pages 13-23
The Elements of a System (José Manuel García Sánchez)....Pages 25-78
Decision Activities (José Manuel García Sánchez)....Pages 79-111
Calculations in a System (José Manuel García Sánchez)....Pages 113-134
Modelling and Types of Specifications (José Manuel García Sánchez)....Pages 135-209
The Quantitative Nature of the Elements (José Manuel García Sánchez)....Pages 211-257
Practical Examples (José Manuel García Sánchez)....Pages 259-284

✦ Subjects


Business and Management; Operations Research/Decision Theory; Operations Research, Management Science


📜 SIMILAR VOLUMES


Modelling in Mathematical Programming: M
✍ José Manuel García Sánchez 📂 Library 📅 2020 🏛 Springer 🌐 English

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. I

Models, Mathematics, and Methodology in
✍ Donald W. Katzner 📂 Library 📅 2017 🏛 Cambridge University Press 🌐 English

This book provides a practitioner's foundation for the process of explanatory model building, breaking down that process into five stages. Donald W. Katzner presents a concrete example with unquantified variable values to show how the five-stage procedure works. He describes what is involved in expl

Decomposition techniques in mathematical
✍ Antonio J. Conejo, Enrique Castillo, Roberto Minguez, Raquel Garcia-Bertrand 📂 Library 📅 2009 🏛 Springer 🌐 English

This textbook for students and practitioners presents a practical approach to decomposition techniques in optimization. It provides an appropriate blend of theoretical background and practical applications in engineering and science, which makes the book interesting for practitioners, as well as eng

Algorithms and Model Formulations in Mat
✍ Ellis L. Johnson (auth.), Stein W. Wallace (eds.) 📂 Library 📅 1989 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

<p>The NATO Advanced Research Workshop (ARW) "Algorithms and Model Formulations in Mathematical Programming" was held at Chr. Michelsen Institute in Bergen, Norway, from June 15 to June 19, 1987. The ARW was organized on behalf of the Committee on Algorithms (COAL) of the Mathematical Programming So