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Solving nonlinear multicommodity flow problems by the analytic center cutting plane method
1997
Mathematical programming
The paper deals with nonlinear multicommodity flow problems with convex costs. A decomposition method is proposed to solve them. The approach applies a potential reduction algorithm to solve the master problem approximately and a column generation technique to define a sequence of primal linear programming problems. Each subproblem consists of finding a minimum cost flow between an origin and a destination node in an uncapacited network. It is thus formulated as a shortest path problem and
doi:10.1007/bf02614381
fatcat:dif2rr4uzjdmvfm26fdv6krwvq