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
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
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
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