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Probabilistic Analysis of the 1-Tree Relaxation for the Euclidean Traveling Salesman Problem (Classic Reprint) - Couverture souple

 
9781332986781: Probabilistic Analysis of the 1-Tree Relaxation for the Euclidean Traveling Salesman Problem (Classic Reprint)

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The digital edition of all books may be viewed on our website before purchase. Excerpt from Probabilistic Analysis of the 1-Tree Relaxation for the Euclidean Traveling Salesman Problem



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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.The digital edition of all books may be viewed on our website before purchase.

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9780484158206: Probabilistic Analysis of the 1-Tree Relaxation for the Euclidean Traveling Salesman Problem (Classic Reprint)

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ISBN 10 :  0484158201 ISBN 13 :  9780484158206
Editeur : Forgotten Books, 2018
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Michel Xavier Goemans
Edité par Forgotten Books, 2018
ISBN 10 : 1332986781 ISBN 13 : 9781332986781
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332986781

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Michel Xavier Goemans
Edité par Forgotten Books, 2018
ISBN 10 : 1332986781 ISBN 13 : 9781332986781
Neuf PAP

Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni

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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332986781

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Michel Xavier Goemans, Dimitris Bertsimas
Edité par Forgotten Books, 2018
ISBN 10 : 1332986781 ISBN 13 : 9781332986781
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Paperback. Etat : New. Print on Demand. This book delves into the probabilistic analysis of the Held-Karp lower bound, a key concept for solving the Euclidean Traveling Salesman Problem (ETSP). The ETSP is a classic combinatorial optimization problem that finds applications in various fields, such as logistics and circuit board designing. The Held-Karp lower bound provides a crucial estimate for the length of the optimal tour in the ETSP. The author takes a novel approach by combining the combinatorial interpretation of the lower bound with the theory of subadditive Euclidean functionals. This enables a probabilistic analysis of the bound, leading to new insights into its behavior. The book establishes that the Held-Karp lower bound is asymptotically close to a constant times the optimal tour length when the number of points in the ETSP tends to infinity. This result provides a theoretical explanation for the practical observation that the lower bound often closely approximates the optimal solution. The analysis also establishes the complete convergence of the Held-Karp lower bound, a significant theoretical result that further strengthens the understanding of its behavior. Overall, this book offers a rigorous and innovative examination of the Held-Karp lower bound, contributing to the understanding of both the ETSP and probabilistic analysis in combinatorial optimization. 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. N° de réf. du vendeur 9781332986781_0

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