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Genetic and combinatorial algorithms for optimal sizing and placement of active power filters

Marcin Maciążek, Dariusz Grabowski, Marian Pasko (2015)

International Journal of Applied Mathematics and Computer Science

The paper deals with cost effective compensator placement and sizing. It becomes one of the most important problems in contemporary electrical networks, in which voltage and current waveform distortions increase year-by-year reaching or even exceeding limit values. The suppression of distortions could be carried out by means of three types of compensators, i.e., passive filters, active power filters and hybrid filters. So far, passive filters have been more popular mainly because of economic reasons,...

Genetic and Tabu search algorithms for peptide assembly problem

Jacek Błażewicz, Marcin Borowski, Piotr Formanowicz, Tomasz Głowacki (2010)

RAIRO - Operations Research

Determining amino acid sequences of protein molecules is one of the most important issues in molecular biology. These sequences determine protein structure and functionality. Unfortunately, direct biochemical methods for reading amino acid sequences can be used for reading short sequences only. This is the reason, which makes peptide assembly algorithms an important complement of these methods. In this paper, a genetic algorithm solving the problem of short amino acid sequence assembly is presented....

Greedy algorithms for optimal computing of matrix chain products involving square dense and triangular matrices

Faouzi Ben Charrada, Sana Ezouaoui, Zaher Mahjoub (2011)

RAIRO - Operations Research - Recherche Opérationnelle

This paper addresses a combinatorial optimization problem (COP), namely a variant of the (standard) matrix chain product (MCP) problem where the matrices are square and either dense (i.e. full) or lower/upper triangular. Given a matrix chain of length n, we first present a dynamic programming algorithm (DPA) adapted from the well known standard algorithm and having the same O(n3) complexity. We then design and analyse two optimal O(n) greedy algorithms leading in general to different optimal solutions...

Greedy algorithms for optimal computing of matrix chain products involving square dense and triangular matrices

Faouzi Ben Charrada, Sana Ezouaoui, Zaher Mahjoub (2011)

RAIRO - Operations Research

This paper addresses a combinatorial optimization problem (COP), namely a variant of the (standard) matrix chain product (MCP) problem where the matrices are square and either dense (i.e. full) or lower/upper triangular. Given a matrix chain of length n, we first present a dynamic programming algorithm (DPA) adapted from the well known standard algorithm and having the same O(n3) complexity. We then design and analyse two optimal O(n) greedy algorithms leading in general to different optimal solutions...

GTES : une méthode de simulation par jeux et apprentissage pour l'analyse des systèmes d'acteurs

Y. Caseau (2009)

RAIRO - Operations Research

Cet article décrit une approche de la modélisation d'un système d'acteurs, particulièrement adaptée à la modélisation des entreprises, fondée sur la théorie des jeux [11] et sur l'optimisation par apprentissage du comportement de ces acteurs. Cette méthode repose sur la combinaison de trois techniques : la simulation par échantillonnage (Monte-Carlo), la théorie des jeux pour ce qui concerne la recherche d'équilibre entre les stratégies, et les méthodes heuristiques d'optimisation locale,...

Heuristic and metaheuristic methods for computing graph treewidth

François Clautiaux, Aziz Moukrim, Stéphane Nègre, Jacques Carlier (2004)

RAIRO - Operations Research - Recherche Opérationnelle

The notion of treewidth is of considerable interest in relation to NP-hard problems. Indeed, several studies have shown that the tree-decomposition method can be used to solve many basic optimization problems in polynomial time when treewidth is bounded, even if, for arbitrary graphs, computing the treewidth is NP-hard. Several papers present heuristics with computational experiments. For many graphs the discrepancy between the heuristic results and the best lower bounds is still very large. The...

Heuristic and metaheuristic methods for computing graph treewidth

François Clautiaux, Aziz Moukrim, Stéphane Nègre, Jacques Carlier (2010)

RAIRO - Operations Research

The notion of treewidth is of considerable interest in relation to NP-hard problems. Indeed, several studies have shown that the tree-decomposition method can be used to solve many basic optimization problems in polynomial time when treewidth is bounded, even if, for arbitrary graphs, computing the treewidth is NP-hard. Several papers present heuristics with computational experiments. For many graphs the discrepancy between the heuristic results and the best lower bounds is still very large....

Heurísticas, planos secantes y optimización subgradiente para problemas de Set Partitioning.

Jaume Barceló, E. Fernández (1988)

Qüestiió

En este artículo se estudian los problemas de Set Partitioning (SP) desde una perspectiva algorítmica. El diseño de un procedimiento heurístico permite no sólo disponer de soluciones posibles para los mismos, sino también obtener desigualdades válidas que sean violadas por las soluciones posibles a partir de las que se obtienen. La incorporación a los problemas originales de las desigualdades válidas obtenidas proporcionan unos problemas ampliados (SPA) para los que también se propone un procedimiento...

Heuristiques pour le Problème du Vendeur m-Péripatétique

Éric Duchenne, Gilbert Laporte, Frédéric Semet (2009)

RAIRO - Operations Research

Le Problème du Vendeur m-Péripatétique (m-PVP) est défini sur un graphe non orienté G=(V,E) où V = {1,...,n} est l'ensemble des sommets, E = {(i,j) : i,j ∈ V,i < j} est l'ensemble des arêtes et (cij) est une matrice de coûts définie sur E. Le m-PVP consiste à déterminer m cycles hamiltoniens sur G n'ayant aucune arête en commun et dont le coût total est minimal. Cet article décrit sept nouvelles heuristiques pour le m-PVP et les compare à celle qui a été proposée par Krarup en 1975.

Hybrid flow-shop with adjustment

Jan Pelikán (2011)

Kybernetika

The subject of this paper is a flow-shop based on a case study aimed at the optimisation of ordering production jobs in mechanical engineering, in order to minimize the overall processing time, the makespan. The production jobs are processed by machines, and each job is assigned to a certain machine for technological reasons. Before processing a job, the machine has to be adjusted; there is only one adjuster who adjusts all of the machines. This problem is treated as a hybrid two-stage flow-shop:...

Improved approximation of the general soft-capacitated facility location problem

Laurent Alfandari (2007)

RAIRO - Operations Research

The soft-capacitated facility location problem, where each facility is composed of a variable number of fixed-capacity production units, has been recently studied in several papers, especially in the metric case. In this paper, we only consider the general problem where connection costs do not systematically satisfy the triangle inequality property. We show that an adaptation of the set covering greedy heuristic, where the subproblem is approximately solved by a fully polynomial-time approximation...

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