@article {IOPORT.05564082, author = {Hashimoto, Hideki and Ezaki, Youichi and Yagiura, Mutsunori and Nonobe, Koji and Ibaraki, Toshihide and L\o kketangen, Arne}, title = {A set covering approach for the pickup and delivery problem with general constraints on each route.}, year = {2009}, journal = {Pacific Journal of Optimization}, volume = {5}, number = {2}, issn = {1348-9151}, pages = {185-202}, publisher = {Yokohama Publishers, Yokohama}, abstract = {Summary: We generalize the pickup and delivery problem with time windows by allowing general constraints on each route, and propose a heuristic algorithm. Our algorithm first generates a set of feasible routes, and repeats modifying the set by using the information from a Lagrangian relaxation of the set covering problem that corresponds to the current set. It then solves the resulting set covering problem to construct a good feasible solution for the original problem. We conduct computational experiments for instances with various constraints, and confirm the flexibility of our algorithm.}, identifier = {05564082}, }