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Nonlinear and Mixed Integer Linear Programming
2012In this chapter we compare continuous nonlinear optimization with mixed integer optimization of water supply networks by means of a meso scaled network instance. We introduce a heuristic approach, which handles discrete decisions arising in water supply network optimization through penalization using nonlinear programming.
Kolb, Oliver +3 more
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An Approximate Algorithm for the Mixed Integer Nonlinear Programming
2012 Fifth International Joint Conference on Computational Sciences and Optimization, 2012An algorithm for global optima of general mixed integer nonlinear programming (MINLP) is proposed in this paper. The mixed local minimizer of MINLP is first defined, and then a mixed steepest descent algorithm is proposed for the mixed local minimizer. Motivated by some auxiliary function algorithm for continuous global optimization, such as the filled
Bo-shun Han, Yong-Jian Yang
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Heuristics for convex mixed integer nonlinear programs
Computational Optimization and Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pierre Bonami, João P. M. Gonçalves
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Heterogeneous parallel method for mixed integer nonlinear programming
Computers & Chemical Engineering, 2014Abstract 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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Solving mixed integer nonlinear programs by outer approximation
Mathematical Programming, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roger Fletcher, Sven Leyffer
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An algorithm for the mixed-integer nonlinear bilevel programming problem
Annals of Operations Research, 1992The 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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A Mixed-Integer Nonlinear Program for the Design of Gearboxes
2017Gearboxes are mechanical transmission systems that provide speed and torque conversions from a rotating power source. Being a central element of the drive train, they are relevant for the efficiency and durability of motor vehicles. In this work, we present a new approach for gearbox design: Modeling the design problem as a mixed-integer nonlinear ...
Lena C. Altherr +5 more
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A mixed integer nonlinear programming model for biomass production
Operational Research, 2016In 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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Inexact feasibility pump for mixed integer nonlinear programming
Information Processing Letters, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min Li 0028, Q. Liu
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Mixed Integer Nonlinear Programming
2012Many 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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