Feasible flow (source code)

= Feasible flow
{title2=$Bf=b,\quad\ell\leq f\leq u$}

A feasible flow satisfies every <flow balance> and every capacity interval of a network problem. Feasibility is distinct from optimality: <capacitated flow optimality conditions> additionally certify that no allowed balanced flow displacement reduces the cost. With only one independent <graph cycle>, every balanced flow is determined by a single cycle parameter, and its feasible set is the intersection of the induced parameter intervals.