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An algorithm for the mixed-integer nonlinear bilevel programming problem

Annals of Operations Research, 1992
The mixed-integer nonlinear bilevel programming problem can be described as a leader-follower game, in which the leader controls a set of variables in order to minimize a given objective function. Each choice of the leader is followed by a choice of the follower who minimizes a convex quadratic function over a polyhedral feasible set.
Thomas A. Edmunds, Jonathan F. Bard
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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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Inexact feasibility pump for mixed integer nonlinear programming

Information Processing Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min Li 0028, Q. Liu
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A mixed integer nonlinear programming model for biomass production

Operational Research, 2016
In this paper, a nonlinear model to maximize biomass production with specific nutritional quality is proposed. The model decides about kind of grasses and legumes to cultivate, quantities of each grasses and legumes chosen, the use of resources, and the proper time of harvest at which the biomass with specific nutritional quality is maximized.
Joyne Contreras   +2 more
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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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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.
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Global solution of nonlinear mixed-integer bilevel programs

Journal of Global Optimization, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Integrating SQP and Branch-and-Bound for Mixed Integer Nonlinear Programming

Computational Optimization and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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