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Gomory’s Method Based on the Objective Equivalent Face Technique

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【Author】 YAN Zizong~ 1,2 , FEI Pusheng~ 1 , WANG Xiaoli~1 1. School of Mathematics and Statistics, Wuhan University , Wuhan 430072, Hubei, China; 2. School of Information and Mathematics, Yangtze University , Jingzhou 434104, Hubei, China

【Abstract】 This paper discusses a re-examination of dual methods based on Gomory’s cutting plane for the solution of the integer programming problem, in which the increment of objection function is allowed as a pivot variable to decide the search direction and stepsize. Meanwhile, we adopt the current equivalent face technique so that lattices are found in the discrete integral face and stronger valid inequalities are acquired easily.

【基金】 Supported by the National Natural Science Foun-dation of China (70371032) ;the Doctor Educational Foundation ofthe Ministry of Education (20020486035)
  • 【文献出处】 Wuhan University Journal of Natural Sciences ,武汉大学学报(自然科学版.英文版) , 编辑部邮箱 ,2006年03期
  • 【分类号】O221.4
  • 【下载频次】13
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