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非二元约束满足问题的E-GENET求解原理

Theory of Solving of E-GENET for Non-Binary Constraint Satisfaction Problems

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【作者】 冯欣唐立新梁浩锋

【Author】 FENG Xin~1, TANG Li-xin~1, LEUNG Ho-fung~2(1. Key Laboratory of Process Industry Automation of MOE & Liaoning Province, Northeastern University, Shenyang 110004, China; 2. Department of Computer Science and Engineering, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China. )

【机构】 东北大学教育部暨辽宁省流程工业综合自动化重点实验室香港中文大学计算机科学与工程系 辽宁沈阳110004辽宁沈阳110004香港新界

【摘要】 通过E-GENET的重定义,将非二元约束满足问题(NB-CSPs)转化为整数最小化问题,提出一类非二元变量约束关系的离散拉格朗日搜索模式(NB-LSDL)与算法,实现了基于NB-LSDL的E-GENET重构,为求解一般约束CSPs的最小冲突启发式修补方法提供新的理论依据,扩展了E-GENET处理问题的技术与手段.实验结果显示了方法的可行性与有效性.

【Abstract】 Non-binary constraint satisfaction problems (NB-CSPs) are transformed into the integer constrained minimization problems by extending correlative definitions of E-GENET. Then, a class of discrete Lagrangian-based search scheme and algorithm with non-binary variable constraints (NB-LSDL) is proposed for such probllems to restructure E-GENET from NB-LSDL. It is useful to gain important insights into the heuristic repair method to minimize conflicts and improve variant of E-GENET for the CSPs with general constraints in a new theoretical perspective. The experimental results show that it is effective and feasible to re-extend E-GENET by using NB-LSDL.

【基金】 国家杰出青年学者自然科学基金资助项目(70425003);国家自然科学基金资助项目(70171030,60274049)
  • 【文献出处】 东北大学学报 ,JOURNAL OF NORTHEASTERN UNIVERSITY , 编辑部邮箱 ,2005年09期
  • 【分类号】TP311.12;
  • 【下载频次】107
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