# The Minimum Concave Cost Network Flow Problem with fixed numbers of sources and nonlinear arc costs

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## Abstract

We prove that the Minimum Concave Cost Network Flow Problem with fixed numbers of sources and nonlinear arc costs can be solved by an algorithm requiring a number of elementary operations and a number of evaluations of the nonlinear cost functions which are both bounded by polynomials in*r, n, m*, where*r* is the number of nodes,*n* is the number of arcs and*m* the number of sinks in the network.

## Key words

Minimum concave cost network flow fixed number of sources and nonlinear arc costs strongly polynomial algorithm, parametric method## Preview

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