J4 ›› 2010, Vol. 07 ›› Issue (4): 653-657.

• 计算机科学 • 上一篇    下一篇

易物模型及其求解算法

于连江1, 吴春国1, 郭立强2, 梁艳春1, 杨锌朔3   

  1. 1. 吉林大学 计算机科学与技术学院, 符号计算与知识工程教育部重点实验室, 长春 130012;2. 北京大学 计算机科学技术研究所, 北京 100871|3. 吉林大学 数学学院| 长春 130012
  • 收稿日期:2009-12-08 出版日期:2010-07-26 发布日期:2011-06-14
  • 通讯作者: 梁艳春 E-mail:ycliang@jlu.edu.cn

Article Exchange Model and Its Algorithm

YU Lianjiang1, WU Chunguo1, GUO Liqiang2, LIANG Yanchun1, YANG Xin shuo3   

  1. 1. College of Computer Science and Technology, Key Laboratory of Symbolic Computation and KnowledgeEngineering of Ministry of Education, Jilin University, Changchun 130012, China|2. Institute of Computer Science and Technology, Peking University, Beijing 100871, China; 3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2009-12-08 Online:2010-07-26 Published:2011-06-14
  • Contact: LIANG Yanchun E-mail:ycliang@jlu.edu.cn

摘要:

提出一种由多人参与物品交换问题的新型组合优化模型--易物模型, 该组合优化模型能处理一类非完全连通图的最短环路问题. 利用图论原
理,  给出了求解易物模型的算法, 并通过数值模拟实验验证了算法的有效性.

关键词: 物品交换; , 组合优化; 基因调控; 蛋白质调控

Abstract:

A new combinatorial optimization model, named  article exchange model (AEM), is proposed that is extracted from the daily article exchange actions among multiparticipators, and the corresponding algorithm to solve AEM is presented successively. The proposed combinatorial model can be used to deal with a kind of shortest tour problems in noncomplete graph. The effectiveness and efficiency were verified by the numerical experiments with dimensions up to millions.

Key words: article exchange, combinatorial optimization;  gene regulation, protein regulation

中图分类号: 

  • TP183