The IMA Volumes in Mathematics and its Applications

Mixed Integer Nonlinear Programming

Editors: Lee, Jon, Leyffer, Sven (Eds.)

  • Contains expository and research papers based on a highly successful IMA Hot Topics Workshop “Mixed-Integer Nonlinear Optimization: Algorithmic Advances and Applications”
  • Combines the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables
  • Includes survey articles, new research material, and novel applications of MINLP
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eBook $189.00
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-1-4614-1927-3
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Hardcover $249.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4614-1926-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4939-0221-7
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Rent the eBook  
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About this book

Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables. MINLP is one of the most flexible modeling paradigms available for optimization; but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers and practitioners — including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers — are interested in solving large-scale MINLP instances.

Table of contents (22 chapters)

  • Algorithms and Software for Convex Mixed Integer Nonlinear Programs

    Bonami, Pierre (et al.)

    Pages 1-39

  • Subgradient Based Outer Approximation for Mixed Integer Second Order Cone Programming

    Drewes, Sarah (et al.)

    Pages 41-59

  • Perspective Reformulation and Applications

    Günlük, Oktay (et al.)

    Pages 61-89

  • Generalized Disjunctive Programming: A Framework for Formulation and Alternative Algorithms for MINLP Optimization

    Grossmann, Ignacio E. (et al.)

    Pages 93-115

  • Disjunctive Cuts for Nonconvex MINLP

    Belotti, Pietro

    Pages 117-144

Buy this book

eBook $189.00
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-1-4614-1927-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4614-1926-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4939-0221-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mixed Integer Nonlinear Programming
Editors
  • Jon Lee
  • Sven Leyffer
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
154
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-1927-3
DOI
10.1007/978-1-4614-1927-3
Hardcover ISBN
978-1-4614-1926-6
Softcover ISBN
978-1-4939-0221-7
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XX, 692
Topics