99,916 research outputs found
Separable subgroups have bounded packing
In this note, we prove that separable subgroups have bounded packing in
ambient groups. The notion bounded packing was introduced by Hruska and Wise
and in particular, our result answers positively a question of theirs, asking
whether each subgroup of a virtually polycyclic group has the bounded packing
property.Comment: 2 pages, to appear Proc. Amer. Math. So
A Weight-coded Evolutionary Algorithm for the Multidimensional Knapsack Problem
A revised weight-coded evolutionary algorithm (RWCEA) is proposed for solving
multidimensional knapsack problems. This RWCEA uses a new decoding method and
incorporates a heuristic method in initialization. Computational results show
that the RWCEA performs better than a weight-coded evolutionary algorithm
proposed by Raidl (1999) and to some existing benchmarks, it can yield better
results than the ones reported in the OR-library.Comment: Submitted to Applied Mathematics and Computation on April 8, 201
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