Linear Programming Problems Certainty and Uncertainty

This book is to provide methods to address the problems of linear programming confirmed and uncertain, the book presents the preliminary and basic stages and methods; The specific target group in this book are: Operations Research Specialties, Quantitative Management, Statistical, Engineering, Applied Mathematics, Economic and Administrative. Despite the difficulty of this topic, it is considered one of the advanced topics in this process, as well as strengthening the chapters of the book with a wide range of practical examples to contribute to the development of the abilities and skills of the reader. The book came with ten chapters. The first chapter presents the basics of linear programming, while the second chapter presents the most important ready and certified software (Excel, LINDO, QSB, Tora, Matlab) in solving linear programming problems. Chapter 3 introduces the concept and application of sensitivity analysis and post-optimization analysis. Chapter 4 examines linear programming applications (transport models, customization, business networks, and games). The sixth chapter presents the methodology of random programming, while the seventh chapter shows the concept and methodology of foggy. Topics include book chapters. A special chapter of the exercises was done because of the overlap of topics and to achieve the greatest benefit to the reader