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Master's Dissertation
DOI
10.11606/D.55.2000.tde-14012005-165350
Document
Author
Full name
Fabiano do Prado Marques
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2000
Supervisor
Committee
Arenales, Marcos Nereu (President)
Berretta, Regina Esther
Pureza, Vitória Maria Miranda
Title in Portuguese
O Problema da Mochila Compartimentada
Keywords in Portuguese
Empacotamento
Otimização Inteira e Combinatória
Problemas da Mochila
Problemas de Corte
Abstract in Portuguese
Nesse trabalho, estudamos um problema de otimização combinatorial conhecido por Problema da Mochila Compartimentada, que é uma extensão do clássico Problema da Mochila. O problema consiste em determinar as capacidades adequadas de vários compartimentos que podem vir a ser alocados em uma mochila e como esses compartimentos devem ser carregados, respeitando as restrições de capacidades dos compartimentos e da mochila. Busca-se maximizar o valor de utilidade total. O problema é muito pouco estudado na literatura, apesar de surgir naturalmente em aplicações práticas. Nesse estudo, propomos uma modelagem matemática não linear para o problema e verificamos algumas heurísticas para sua resolução.
Title in English
The Compartmentalized Knapsack Problem
Keywords in English
Cutting and Packing Problems
Integer Programming
Knapsack Problem
Abstract in English
In this work, we studied a combinatorial optimization problem called the Clustered Knapsack Problem, that is an extension of the standard Knapsack Problem. The problem is to determine the right capacities of several clusters which can be allocated in a knapsack and how these clusters should be placed so as to respect the constraints on the capacities of the clusters and the knapsack. The objective is to maximize a total utility value. The problem has seldom been studied in the literature, even though it appears naturally in practical applications. In this study, we propose a non-linear model for the problem and we insert some heuristics for its resolution.
 
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pmc.pdf (7.11 Mbytes)
Publishing Date
2005-04-13
 
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