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authors Campello, Ruy Eduardo and Maculan, Nelson
year 1983
title A Lower Bound to the Set Partitioning Problem with Side Constraints
source 24 p. : ill. Pittsburgh: Design Research Center, CMU, December, 1983 DRC-70-20-83. includes bibliography.
summary A Lagrangean relaxation approach is proposed to provide a lower bound on the optimal solution of the set partitioning problem with side constraints, which is a general methodology to solve a combinatorial optimization problem. This Lagrangean relaxation approach is accomplished by a subgradient optimization procedure which solves at each iteration a special 0-1 knapsack problem. The approach seems to be promising since it produces feasible integer solutions to the side constraints that can hopefully be the optimal solution to most of the instances of the set partitioning problem with side constraints
keywords mathematics, operations research, relaxation, algorithms, combinatorics, optimization, constraints
series CADline
references Content-type: text/plain
last changed 2003/06/02 13:58
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