rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Deterministic Global Optimization
    sub title: Geometric Branch-and-bound Methods and their Applications
  name:
    name part: Scholz, Daniel.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 142 p. online resource.
  abstract: This monograph deals with a general class of solution approaches in deterministic global optimization, namely the geometric branch-and-bound methods which are popular algorithms, for instance, in Lipschitzian optimization, d.c. programming, and interval analysis.It also introduces a new concept for the rate of convergence and analyzes several bounding operations reported in the literature, from the theoretical as well as from the empirical point of view. Furthermore, extensions of the prototype algorithm for multicriteria global optimization problems as well as mixed combinatorial optimization problems are considered. Numerical examples based on facility location problems support the theory. Applications of geometric branch-and-bound methods, namely the circle detection problem in image processing, the integrated scheduling and location makespan problem, and the median line location problem in the three-dimensional space are also presented. The book is intended for both researchers and students in the areas of mathematics, operations research, engineering, and computer science.
  table of contents: Principals and basic concepts.- The geometric branch-and-bound algorithm.-Bounding operations -- Extension for multicriteria problems -- Multicriteria discarding tests -- Extension for mixed combinatorial problems -- The circle detection problem -- Integrated scheduling and location problems -- The median line problem -- Summary and discussion -- References -- Index.
  note: by Daniel Scholz.
  subject:
    topic: Mathematics
  subject:
    topic: Algorithms
  subject:
    topic: Computer mathematics
  subject:
    topic: Mathematical optimization
  subject:
    topic: Operations research
  subject:
    topic: Management science
  subject:
    topic: Mathematics
  subject:
    topic: Optimization
  subject:
    topic: Operations Research, Management Science
  subject:
    topic: Computational Science and Engineering
  subject:
    topic: Algorithms
  classification: QA402.5-402.6
  classification: 519.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Optimization and Its Applications, 63
  identifier: 9781461419518
  identifier: http://dx.doi.org/10.1007/978-1-4614-1951-8
  record info:
    record creation date: 111104
    record change date: 20151125222014.0
    record identifier: 978-1-4614-1951-8