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Computational Experience in Nonlinear Mixed Integer Programming

1997
An interior-point algorithm within a branch-and-bound framework for solving nonlinear mixed integer programs is described. In contrast to solving the relaxation to optimality at each tree node, the relaxation is only solved to near-optimality. Analogous to using advanced bases for warmstart solutions in the case of linear MIP, a “dynamic” collection of
Eva K. Lee, John Mitchell
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Heterogeneous parallel method for mixed integer nonlinear programming

Computers & Chemical Engineering, 2014
Abstract In a heterogeneous parallel structure, two types of algorithms, Quesada Grossmann's (QG) algorithm and Tabu search (TS), are used to solve mixed integer nonlinear programming (MINLP) simultaneously. Communication is well designed between two threads running the two algorithms individually by exchanging three kinds of information during ...
Kai Zhou   +4 more
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Mixed Integer Nonlinear Programming

2012
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.
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Reaction mechanism simplification using mixed-integer nonlinear programming

Computers & Chemical Engineering, 2000
Abstract For large, complex reacting systems, computational efficiency becomes a critical issue in process simulation, optimization, and model-based control. Mechanism simplification is often a necessity to improve computational speed. We present a novel approach to reaction mechanism simplification that formulates the model reduction problem as a ...
Keith Edwards   +2 more
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Behavioral test generation using mixed integer nonlinear programming

Proceedings., International Test Conference, 2002
This paper describes a novel technique to generate test vectors for single stuck-at faults using the behavioral description of the circuit function and the mapping from the behavior into the hardware that implements it. The test vector generation problem is formulated as a mixed integer nonlinear programming (MINLP) problem, and the test vectors are ...
R.S. Ramchandani, D.E. Thomas
openaire   +1 more source

On cutting planes for mixed-integer nonlinear programming

2021
Die gemischt-ganzzahlige nichtlineare Programmierung ist eine leistungsstarke Technik, mit der wir Probleme modellieren und lösen können, die nichtlineare Funktionen und kontinuierliche und diskrete Variablen enthalten. Die hoch- modernen Löser für gemischt-ganzzahlige nichtlineare Programme (MINLPs) verwenden unter anderem eine Kombination der Branch ...
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Solving mixed integer nonlinear programs by outer approximation

Mathematical Programming, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fletcher, Roger, Leyffer, Sven
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Mixed-Integer Nonlinear Programming Applications

1999
In this chapter was apply different approaches to solve four rather different MINLP problems: special extensions to time-indexed formulations of production planning problems; a production planning problem in BASF’s petrochemical division; a site analysis of one of BASF’s bigger sites; and a process design problem.
openaire   +1 more source

Symmetric duality for minimax nonlinear mixed integer programming

European Journal of Operational Research, 1995
Abstract A pair of symmetric dual minimax integer programming problems is formulated and an appropriate duality theorem is established under the pseudoconvexity-pseudoconcavity assumption on the kernel function K ( x , y ). This model removes certain inconsistencies in an earlier model and helps to study self duality as well.
V. Kumar, I. Husain, S. Chandra
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Review of Nonlinear Mixed-Integer and Disjunctive Programming Techniques

Optimization and Engineering, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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