Gomory's method based on the objective equivalent face technique



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.

Key words

integer programming Gomory's cutting plane dual gap primal and dual algorithm 

CLC number

O 221.4 


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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsWuhan UniversityWuhan, HubeiChina
  2. 2.School of Information and MathematicsYangtze UniversityJingzhou, HubeiChina

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