• Title of article

    Linear Programming, the Simplex Algorithm and Simple Polytopes

  • Author/Authors

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

  • Pages
    18
  • From page
    702
  • To page
    719
  • Abstract
    In the first part of the paper we survey some far reaching applications of the basis facts of linear programming to the combinatorial theory of simple polytopes. In the second part we discuss some recent developments concurring the simplex algorithm. We describe sub-exponential randomized pivot roles and upper bounds on the diameter of graphs of polytopes.
  • Keywords
    simplex algorithm , Randomized Pivot rule complexity combinational theory of simple polytopes
  • Journal title
    Iranian Journal of optimization
  • Serial Year
    2014
  • Journal title
    Iranian Journal of optimization
  • Record number

    2469711