Simplicial with truncated Dantzig–Wolfe decomposition for nonlinear multicommodity network flow problems with side constraints

Simplicial with truncated Dantzig–Wolfe decomposition for nonlinear multicommodity network flow problems with side constraints

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Article ID: iaor20052304
Country: Netherlands
Volume: 26
Issue: 1
Start Page Number: 33
End Page Number: 41
Publication Date: Feb 2000
Journal: Operations Research Letters
Authors:
Abstract:

The simplicial decomposition (SD) subproblem for a nonlinear multicommodity network flow problem is simply its linear approximation. Instead of solving the subproblem optimally, this paper demonstrates that performing one iteration of Dantzig–Wolfe decomposition is generally sufficient for SD to efficiently converge to an optimal solution.

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