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Optimisation hybride par colonies de fourmis pour le problème de découpe à deux dimensions

Alice Yalaoui, Chengbin Chu (2009)

RAIRO - Operations Research

Nous nous intéressons dans cet article au problème de découpe guillotine en deux dimensions noté 2BP/O/G. Il s'agit de découper un certain nombre de pièces rectangulaires dans un ensemble de plaques de matière première, elles même rectangulaires et identiques. Celles-ci sont disponibles en quantité illimitée. L'objectif est de minimiser le nombre de plaques utilisées pour satisfaire la demande, en appliquant une succession de coupes, dites guillotines, allant de bout en bout. Nous proposons une approche...

Optimisation impossible

Jean-Paul Delahaye (1985)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Optimization approaches to some problems of building design

Jiří Vala, Petra Jarošová (2018)

Applications of Mathematics

Advanced building design is a rather new interdisciplinary research branch, combining knowledge from physics, engineering, art and social science; its support from both theoretical and computational mathematics is needed. This paper shows an example of such collaboration, introducing a model problem of optimal heating in a low-energy house. Since all particular function values, needed for optimization are obtained as numerical solutions of an initial and boundary value problem for a sparse system...

Optimization of an SMD placement machine and flows in parametric networks

Katarína Cechlárová, Tamás Fleiner (2011)

Kybernetika

In the minimization of the number of subtours made by the insertion head of an SMD placement machine a variant of the network flow problem arose. In a network with n vertices and m arcs a set F of arcs (parametrized arcs) is given. The task is to find a flow of a given size such that the maximum of flow values along the arcs from F is minimized. This problem can be solved by a sequence of maximum flow computations in modified networks where the capacities of the parametrized arcs are successively...

Optimization of plunger cavity

Salač, Petr (2013)

Programs and Algorithms of Numerical Mathematics

In the contribution we present a problem of shape optimization of the cooling cavity of a plunger that is used in the forming process in the glass in dustry. A rotationally symmetric system of the mould, the glass piece, the plunger and the plunger cavity is considered. The state problem is given as a stationary heat conduction process. The system includes a heat source representing the glass piece that is cooled from inside by water flowing through the plunger cavity and from outside by the environment surrounding...

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