Adaptive price update in distributed Lagrangian relaxation protocol

Katsutoshi Hirayama, Toshihiro Matsui, Makoto Yokoo

研究成果: 書籍/レポート タイプへの寄稿会議への寄与

9 被引用数 (Scopus)

抄録

Distributed Lagrangian Relaxation Protocol (DisLRP) has been proposed to solve a distributed combinatorial maximization problem called the Generalized Mutual Assignment Problem (GMAP). In DisLRP, when updating Lagrange multipliers (prices) of goods, the agents basically control their step length, which determines the degree of update, by a static rule. A merit of this updating rule is that since it is static, it is easy to implement even without a central control. Furthermore, if we choose this static rule appropriately, we have observed empirically that DisLRP converges to a state providing a good upper bound. However, it must be difficult to devise such a good static rule for updating step length since it naturally depends on problem instances to be solved. On the other hand, in a centralized context, the Lagrangian relaxation approach has conventionally computed step length by exploiting the least upper bound obtained during the search and a lower bound obtained through preprocessing. In this paper, we achieve this approach in a distributed environment where no central control exists and name the resultant protocol Adaptive DisLRP (ADisLRP). The key ideas of this new protocol are to 1) compute global information with a spanning tree, 2) update step length simultaneously with a synchronization protocol, and 3) estimate lower bounds during the search. We also show the robustness of ADisLRP through experiments where we compared ADisLRP with the previous protocols on the critically hard benchmark instances.

本文言語英語
ホスト出版物のタイトル8th International Joint Conference on Autonomous Agents and Multiagent Systems 2009, AAMAS 2009
出版社International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
ページ886-893
ページ数8
ISBN(印刷版)9781615673346
出版ステータス出版済み - 2009
イベント8th International Joint Conference on Autonomous Agents and Multiagent Systems 2009, AAMAS 2009 - Budapest, ハンガリー
継続期間: 5月 10 20095月 15 2009

出版物シリーズ

名前Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS
2
ISSN(印刷版)1548-8403
ISSN(電子版)1558-2914

その他

その他8th International Joint Conference on Autonomous Agents and Multiagent Systems 2009, AAMAS 2009
国/地域ハンガリー
CityBudapest
Period5/10/095/15/09

!!!All Science Journal Classification (ASJC) codes

  • 人工知能
  • ソフトウェア
  • 制御およびシステム工学

フィンガープリント

「Adaptive price update in distributed Lagrangian relaxation protocol」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル