Dantzig-Wolfe decomposition

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Dantzig-Wolfe decomposition is a decomposition algorithm for rendering problems tractable for solution under Linear Programming which may otherwise be too big. It was developed by George Dantzig and Phil Wolfe[1]. It is similar to Benders Decomposition in terms of the bounds it uses [2].

In an interview given by Wolfe, he explains that the main idea behind the algorithm was creating a column in the linear programming problem only when needed in order to sidestep the issue of having to deal with too many columns[3].

[edit] References

  1. ^ Slides from a class on Linear Optimization, Brady Hunsaker, University of Pittsburgh, 2004, accessed 2008-6-11.
  2. ^ Slides from a class on Dantzig-Wolfe Decomposition, Infanger, Standford University, Winter 2007/2008, accessed 2008-6-11.
  3. ^ Optimization Trailblazers, The Dantzig-Wolfe Decomposition Algorithm, accessed 2008-6-11.