Genuinely Polynominal Simplex and Non-Simplex Algorithms for the Minimum Cost
Language: English
Published by Forgotten Books, 2018
- Softcover
- New



Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.43
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. 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. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781334017643_0
- Title
- Genuinely Polynominal Simplex and Non-Simplex Algorithms for the Minimum Cost
- Author
- James B. Orlin
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1334017646
- ISBN 13
- 9781334017643
- Seller catalogs
- Calculus
Two concise sections outline the scope and value: first, a historical view of Edmonds–Karp scaling and the search for polynomial-time pivot rules; second, a detailed development of two network dual simplex algorithms with provable performance guarantees. The discussion stays focused on structure, complexity, and implementation insights that matter for researchers and practitioners alike.
- Two genuinely polynomial dual simplex pivot rules for minimum cost flow
- Connections between dual pivots and shortest-path steps, including Dijkstra-based interpretations
- Complexity bounds that compare with Edmonds–Karp scaling and other classical methods
- Guidance on implementing these algorithms for sparse networks and practical use
Ideal for readers of advanced optimization, operations research, and algorithm design who want a rigorous but accessible treatment of network flow methods.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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