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求解Hamming距离下的最短路改进问题的一个近似算法
引用本文:张斌武,王勤,余维燕.求解Hamming距离下的最短路改进问题的一个近似算法[J].兰州理工大学学报,2008,34(4).
作者姓名:张斌武  王勤  余维燕
作者单位:1. 河海大学,常州校区数理部,江苏,常州,213022
2. 中国计量学院,理学院数学系,浙江,杭州,310018
3. 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046
摘    要:研究Hamming距离下的最短路改进问题的性质,并给出一个求解Hamming距离下的最短路改进问题的近似算法:按照一定规则得到满足一定条件的树型图,求解相应的0-1整数规划问题.该研究有助于设计求解Hamming距离下的最短路改进问题的有效的近似算法.

关 键 词:Hamming距离  最短路改进问题  NP-困难  近似算法

An approximation algorithm for solving shortest path improvement problem under Hamming distance
ZHANG Bin-wu,WANG Qin,YU Wei-yan.An approximation algorithm for solving shortest path improvement problem under Hamming distance[J].Journal of Lanzhou University of Technology,2008,34(4).
Authors:ZHANG Bin-wu  WANG Qin  YU Wei-yan
Abstract:The properties of the shortest path improvement problem under Hamming distance was investigated,and an approximation algorithm for solving this problem was given,where a tree diagram which met definite conditions was obtained according to definite rules and,then,the corresponding programming problem with integers 0-1.It was expected that the investigation in this paper could be useful for devising more efficient approximation algorithms for solving the shortest path improvement problems under Hamming distance.
Keywords:Hamming distance  shortest path improvement problem  NP-hardness  approximation algorithm
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