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: Nonlinear Integer Programming
  name:
    name part: Li, Duan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Sun, Xiaoling.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 438 p. online resource.
  abstract: It is not an exaggeration that much of what people devote in their hfe re­ solves around optimization in one way or another. On one hand, many decision making problems in real applications naturally result in optimization problems in a form of integer programming. On the other hand, integer programming has been one of the great challenges for the optimization research community for many years, due to its computational difficulties: Exponential growth in its computational complexity with respect to the problem dimension. Since the pioneering work of R. Gomory [80] in the late 1950s, the theoretical and methodological development of integer programming has grown by leaps and bounds, mainly focusing on linear integer programming. The past few years have also witnessed certain promising theoretical and methodological achieve­ ments in nonlinear integer programming. When the first author of this book was working on duality theory for n- convex continuous optimization in the middle of 1990s, Prof. Douglas J. White suggested that he explore an extension of his research results to integer pro­ gramming. The two authors of the book started their collaborative work on integer programming and global optimization in 1997. The more they have investigated in nonlinear integer programming, the more they need to further delve into the subject. Both authors have been greatly enjoying working in this exciting and challenging field.
  table of contents: Optimality, Relaxation and General Solution Procedures -- Lagrangian Duality Theory -- Surrogate Duality Theory -- Nonlinear Lagrangian and Strong Duality -- Nonlinear Knapsack Problems -- Separable Integer Programming -- Nonlinear Integer Programming with a Quadratic Objective Function -- Nonseparable Integer Programming -- Unconstrained Polynomial 0–1 Optimization -- Constrained Polynomial 0–1 Programming -- Two Level Methods for Constrained Polynomial 0–1 Programming -- Mixed-Integer Nonlinear Programming -- Global Descent Methods.
  note: by Duan Li, Xiaoling Sun.
  subject:
    topic: Mathematics
  subject:
    topic: Operations research
  subject:
    topic: Decision making
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Mathematical models
  subject:
    topic: Mathematical optimization
  subject:
    topic: Management science
  subject:
    topic: Mathematics
  subject:
    topic: Optimization
  subject:
    topic: Operation Research/Decision Theory
  subject:
    topic: Operations Research, Management Science
  subject:
    topic: Mathematical Modeling and Industrial Mathematics
  subject:
    topic: Mathematics of Computing
  subject:
    topic: Math Applications in Computer Science
  classification: QA402.5-402.6
  classification: 519.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: International Series in Operations Research & Management Science, 84
  identifier: 9780387329956
  identifier: http://dx.doi.org/10.1007/0-387-32995-1
  record info:
    record creation date: 100301
    record change date: 20151204170036.0
    record identifier: 978-0-387-32995-6