Probability Theory of Classical Euclidean Optimization Problems: 1675 - Brossura

Yukich, Joseph E.

Brossura

ISBN 10: 3540636668 ISBN 13: 9783540636663

Casa editrice: Springer, 2009

Riassunto

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.

Su questo libro

Contenuti:

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.

Product Description:

Book by Yukich Joseph E

Su questa edizione

• Editore: Springer
• Data di pubblicazione: 2009
• ISBN 10: 3540636668
• ISBN 13: 9783540636663
• Rilegatura: Copertina flessibile
• Numero di pagine: 164