Goossens, J.H.M.

problem constraint instance solution train station number track graph / european journal commodity model variable line plan capacity type t railway ficient type edges type edge e formulation example value goossen route planning restriction proof technique edge e commodity k branch-and-cut approach line l passenger network class type graph track graph g objective research result van hoesel frequency integer lemma inequality carriage branch-and-cut line-planning table plane european journal type edge f kroon fl ows approach section solution x 403–424 objective function value subproblem type graph gt coef ficient layer reduction service constraints coef ficients subtree demand relaxation bussieck track graph train lines layer t netherland track e fi rst track edge e university