| 講演抄録/キーワード |
| 講演名 |
2022-05-19 13:00
Transportation Problem on a Graph ○Tetsuo Asano(Kanazawa Univ.) COMP2022-1 |
| 抄録 |
(和) |
(まだ登録されていません) |
| (英) |
We consider a transportation problem defined on a node-weighted undirected graph. Weight is positive if the amount of commodity is stored at a node, and negative if the amount is needed at the node. We want to meet all demands by transporting commodities using vehicles prepared either at nodes or edges which only travel to and from neighbors. In a trip from a node to a neighbor we can send commodities and also bring back some other commodities. Problem is to decide whether we can meet all demands by carrying out a set of trips in a few rounds. We define three different schemes to solve the problem and examine their performances. We present a polynomial-time algorithm for deciding whether there is a single round of trips using one vehicle at each node that meet all demands for one-commodity case. Although extension to multi-commodity case is unknown, we can also extend it to multiple rounds as far as the number of iterations is bounded by a constant. |
| キーワード |
(和) |
/ / / / / / / |
| (英) |
Linear programming / One-commodity and multi-commodity problems / Polynomial-time algorithm / Transportation problem / Vehicle / / / |
| 文献情報 |
信学技報, vol. 122, no. 33, COMP2022-1, pp. 1-8, 2022年5月. |
| 資料番号 |
COMP2022-1 |
| 発行日 |
2022-05-12 (COMP) |
| ISSN |
Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
| PDFダウンロード |
COMP2022-1 |