Genuinely Polynominal Simplex and Non-Simplex Algorithms for the Minimum Cost Flow Problem (Classic Reprint) - Softcover

Orlin, James B.

 
9781334017643: Genuinely Polynominal Simplex and Non-Simplex Algorithms for the Minimum Cost Flow Problem (Classic Reprint)

Synopsis

This book presents two efficient, polynomial-time algorithms for solving minimum cost network flow problems, a prevalent problem in network optimization with applications in areas such as logistics and telecommunications. The first algorithm, a modification of the Edmonds-Karp scaling technique, is genuinely polynomial, meaning the number of arithmetic operations it takes to find a solution is independent of the size of the input data. The second algorithm is a dual simplex algorithm that is also genuinely polynomial and may be implemented to run in time proportional to the Edmonds-Karp scaling technique. This book makes several contributions to the field of network optimization, including a new theoretical framework for analyzing the efficiency of minimum cost network flow algorithms and the development of new algorithms that are both theoretically and practically efficient.

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