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...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Yukich, Joseph E. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
Έκδοση:1st ed. 1998.
Σειρά:Lecture Notes in Mathematics, 1675
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.