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Sinopsis

Excerpt from Generalized Lagrange Multipliers: In Integer Programming

Several authors have proposed generalized Lagrangian methods for finding good or Optimal solutions to integer programming problems. The capital budgeting problem of Lorie and Savage essentially the 0-1 multi-dimensional Knapsack problem, has received particular attention in this regard. In Nemhauser and Ullman prove the somewhat negative result that the approach of Everett [4] applied to the capital budgeting problem by Kaplan in [8] can yield an optimal solution only if there is an Optimal linear programming solution that is integer. In this paper, we use group theory to reformulate the integer programming problem, thereby obtaining a Lagrangian problem which appears to Offer greater combinatorial resolution than previous methods. Conversely, the usefulness Of the group theoretic approach is enhanced by the Lagrangian problem.

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  • EditorialForgotten Books
  • Año de publicación2018
  • ISBN 10 0365653829
  • ISBN 13 9780365653820
  • EncuadernaciónTapa blanda
  • IdiomaInglés
  • Número de páginas46
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Jeremy F. Shapiro
Publicado por Forgotten Books, 2018
ISBN 10: 0365653829 ISBN 13: 9780365653820
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Jeremy F. Shapiro
Publicado por Forgotten Books, 2018
ISBN 10: 0365653829 ISBN 13: 9780365653820
Nuevo PAP

Librería: PBShop.store UK, Fairford, GLOS, Reino Unido

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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780365653820

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Jeremy F. Shapiro
Publicado por Forgotten Books, 2018
ISBN 10: 0365653829 ISBN 13: 9780365653820
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Paperback. Condición: New. Print on Demand. This book explores a novel approach to solving integer programming problems, a type of optimization problem that arises in many real-world applications. The author introduces a group-theoretic reformulation of integer programming, providing a new perspective on these complex problems. By constructing a Lagrangian problem, the author demonstrates how to find optimal or near-optimal solutions to integer programming problems, offering a valuable tool for researchers and practitioners alike. The book delves into the theoretical underpinnings of the approach, discussing necessary and sufficient conditions for optimality and exploring the relationship between the Lagrangian method and existing cutting-plane techniques. Through numerical examples, the author illustrates the practical application of the proposed methods. The book's insights advance the field of integer programming, providing a deeper understanding of these problems and opening up new avenues for further research. 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. print-on-demand item. Nº de ref. del artículo: 9780365653820_0

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