• Title of article

    Some Results on facets for linear inequality in 0-1 variables

  • Author/Authors

    Bhusan ، Das Sashi - Balasore College of Engineering Technology , Bagaban ، Biswal Fakir Mohan Autonomous College , Tripathy ، J.P. - Gurukul Institute of Technology

  • Pages
    12
  • From page
    292
  • To page
    303
  • Abstract
    The facet of Knapsack ploytope, i.e. convex hull of 0-1 points satisfying a given linear inequality has been presented in this current paper. Such type of facets plays an important role in set covering set partitioning, matroidal-intersection vertex- packing, generalized assignment and other combinatorial problems. Strong covers for facets of Knapsack ploytope has been developed in the first part of the present paper. Generating family of valid cutting planes that satisfy inequality with 0-1 variables through algorithms are the attraction of this paper.
  • Keywords
    Convex , hull , set , covering , set , partitioning , Matrodial , intersection , vertex , packing , cutting , planes
  • Journal title
    Iranian Journal of optimization
  • Serial Year
    2012
  • Journal title
    Iranian Journal of optimization
  • Record number

    2475263