An adaptive discretization algorithm for a class of continuous network programs
Andy Philpott, Mark Craddock · Networks · 1995
Abstract An algorithm is derived for a class of continuous‐time minimum‐cost network flow problems. The algorithm is based on some recent results in the theory of separated continuous linear programs and works with a sequence of discrete approximations to the continuous‐time problem. We prove the convergence of the algorithm and present some numerical results which compare its performance against that of linear network flow algorithms applied to a uniform discrete approximation of the continuous‐time problem.