Title | A New Exact Algorithm for the Maximum Weight Clique Problem |
Author | *Kazuaki Yamaguchi, Sumio Masuda (Kobe University, Japan) |
Page | pp. 317 - 320 |
Keyword | clique, maximum weight clique, branch-and-bound, upper bound, longest path |
Abstract | Given an undirected graph with weight for each vertex, the maximum
weight clique problem is to find the clique of the maximum weight.
Ostergard proposed a fast exact algorithm for solving this
problem. We show his algorithm is not efficient for very dense
graphs. We propose an exact algorithm for the problem, which is faster
than Ostergard's algorithm in case the graph is dense. We show
the efficiency of our algorithm with some experimental results. |
Title | A Parts Arrangement Algorithm for Note PC - An Algorithm for 3D Bin Packing Problem with Arrangement Constraints - |
Author | *Shigeta Kuninobu, Keiichi Handa, Yasushi Sasaki, Takashi Iikubo (Toshiba Corporation, Japan) |
Page | pp. 329 - 332 |
Keyword | Parts Arrangement, Heuristics, 3D Bin Packing, Note PC, Arrangement Constraints |
Abstract | We propose a parts arrangement algorithm for equipment such as note PCs. In parts arrangements for actual equipment, a large part of the parts have the arrangement constraints and requirements. The proposed algorithm minimizes the equipment thickness keeping the given equipment depth and width. The algorithm outputs multiple thin arrangement results which satisfy the arrangement constraints and requirements. We evaluated the proposed method by comparing with the results attained by the skilled factory designers. |