In order to improve the efficiency of their operations, many businesses and industries use techniques of discrete optimization. Combinational Optimization successfully develops new optimization tools, algorithms, and applications to problems which are arising in business and industry, offering complete evidence for several results. Combinatorial Optimization is the process of finding one or more optimal solutions in a well-defined and discrete problem space. Such problems occur in almost all fields of management, as well as in many engineering disciplines. Many businesses and industries use techniques of discrete optimization to improve the efficiency of their operations. The development of new optimization tools, algorithms and new applications of combinatorial optimization to problems arising in industry and business have been provided. The book also contains complete and concise proofs for several deep results, with various references given at the end of each topic.