Mathematical Modeling

The initial description of practical problems are often based on the expression of a collection of logical statements and embedding them in a mathematical model. Hence, describing a problem as a mathematical model is an important step in the real-world application of optimization, which has been less addressed so far. This book provides the reader with how to deal with difficulties of the art of modeling and the strength and weakness of algorithms in solving complex models. The focus of this book is on mathematical modeling and its principles and delicacies. It makes an attempt to describe the process of constructing and evaluating models and explicitly outlines the required rules and regulations, so that the reader be able to generalize and reuse concepts in other problems by relying on the mathematical logic. Successful and effective utilization of optimization software is significantly dependent on the development of an accurate and appropriate model. This book introduces different techniques and provides various examples to illustrate the concepts. Additionally, by allocating a chapter to practical problems, it familiarizes the reader with the utilization of described methods to deal with various application areas.