Probability Theory of Classical Euclidean Optimization Problems
This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random gr...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1675 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Probability theory of classical Euclidean optimization problems, Joseph E. Yukich, Berlin, Springer, 1998, 1 vol. (X-152 p.), Lecture notes in mathematics, 3-540-63666-8 • Probability Theory of Classical Euclidean Optimization Problems, Texte imprimé, 9783662167984 |
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| 100 | 1 | |a Yukich, Joseph E. | |
| 245 | 1 | 0 | |a Probability Theory of Classical Euclidean Optimization Problems |c Joseph E. Yukich. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1675 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Subadditivity and superadditivity -- Subadditive and superadditive euclidean functionals -- Asymptotics for euclidean functionals: The uniform case -- Rates of convergence and heuristics -- Isoperimetry and concentration inequalities -- Umbrella theorems for euclidean functionals -- Applications and examples -- Minimal triangulations -- Geometric location problems -- Worst case growth rates. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists. | ||
| 650 | |a Probabilités combinatoires | ||
| 650 | |a Géométrie stochastique | ||
| 650 | |a Optimisation mathématique | ||
| 650 | |a Graphes aléatoires | ||
| 650 | |a Probabilités | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 045653828 |t Probability theory of classical Euclidean optimization problems |f Joseph E. Yukich |c Berlin |n Springer |d 1998 |p 1 vol. (X-152 p.) |s Lecture notes in mathematics |z 3-540-63666-8 | |
| 776 | 0 | |t Probability Theory of Classical Euclidean Optimization Problems |b Texte imprimé |z 9783662167984 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093472 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-Z9KBP64J-3 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750633743 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093472 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753990113 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0093472 |z Accès INSA CVL | |
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