Mixed Integer Nonlinear Programming

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Lee, Jon (Επιμελητής έκδοσης), Leyffer, Sven (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2012.
• Σειρά: The IMA Volumes in Mathematics and its Applications, 154
• Θέματα: Mathematics.; Approximation theory.; Algorithms.; Mathematical optimization.; Approximations and Expansions.; Continuous Optimization.

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...

Πίνακας περιεχομένων:

• 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.