Mixed Integer Nonlinear Programming

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 (MINL...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Lee, Jon (Editor ), Leyffer, Sven (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:The IMA Volumes in Mathematics and its Applications, 154
Temas:
Approximation theory.
Algorithms.
Mathematical optimization.
Approximations and Expansions.
Continuous Optimization.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Foreword
  • Preface.-Algorithms and software for convex mixed integer nonlinearprograms.-  Subgradient based outer approximation for mixed integer secondorder cone programming.-Perspective reformulation and applications
  • Generalized disjunctive programming: A framework for formulation and alternative algorithms for MINLP optimization.-Disjunctive cuts for nonconvex MINLP
  • Sequential quadratic programming methods
  • Using interior-point methods within an outer approximation framework for mixed integer nonlinear programming
  • Using expression graphs in optimization algorithms
  • Symmetry in mathematical programming
  • Using piecewise linear functions for solving MINLPs
  • An algorithmic framework for MINLP with separable non-convexity
  • Global optimization of mixed-integer signomial programming problems.-The MILP road to MIQCP
  • Linear programming relaxations of quadratically constrained quadratic programs
  • Extending a CIP framework to solve MIQCPs
  • Computation with polynomial equations and inequalities arisingin combinatorial optimization.-  Matrix relaxations in combinatorial optimization
  • A polytope for a product of real linear functions in 0/1 variables
  • On the complexity of nonlinear mixed-integer optimization
  • Theory and applications of n-fold integer programming
  • MINLP Application for ACH interiors restructuring
  • A benchmark library of mixed-integer optimal control problems.

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