Result: An exact algorithm for cost minimization in series reliability systems with multiple component choices
Title:
An exact algorithm for cost minimization in series reliability systems with multiple component choices
Authors:
Source:
Applied mathematics and computation. 181(1):732-741
Publisher Information:
New York, NY: Elsevier, 2006.
Publication Year:
2006
Physical Description:
print, 25 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Programmation mathématique numérique, Numerical methods in mathematical programming, Algorithme, Algorithm, Algoritmo, Borne inférieure, Lower bound, Cota inferior, Efficacité, Efficiency, Eficacia, Fiabilité système, System reliability, Fiabilidad sistema, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Minimisation coût, Cost minimization, Minimización costo, Méthode Lagrange, Lagrangian method, Método Lagrange, Méthode relaxation, Relaxation method, Método relajación, Méthode séparation et évaluation, Branch and bound method, Método branch and bound, Programmation en nombres entiers, Integer programming, Programación entera, Programmation non linéaire, Non linear programming, Programación no lineal, Choix composant multiple, Multiple component choice, Problème minimisation, Série multiple, Branch-and-bound method, Lagrangian bound, Reliability system
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Shanghai University, Baoshan 200444, Shanghai, China
ISSN:
0096-3003
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.18364187
Database:
PASCAL Archive
Further Information
In this paper, we present an exact method for cost minimization problems in series reliability systems with multiple component choices. The problem can be modelled as a nonlinear integer programming problem with a nonseparable constraint function. The method is of a combined Lagrangian relaxation and linearization method. A Lagrangian bound is obtained by solving the dual of a separable subproblem. An alternative lower bound is derived by 0-1 linearization method. A special cut-and-partition scheme is proposed to reduce the duality gap, thus ensuring the convergence of the method. Computational results are reported to show the efficiency of the method.