Research Article

Network Reconfiguration with Orientation-Dependent Transit Times

Algorithm 1

Maximum dynamic contraflow with orientation-dependent transit times.
 Input: A network with orientation dependent transit time , and a time horizon
 Output: Maximum dynamic flow with arc reversals
(1)Construct the auxiliary network according to Definition 1.
(2)Find a static flow corresponding to the temporally repeated dynamic flow in .
(3)Decompose into chain-flows and cycle-flows. Remove the cycle-flows and update .
(4)Reverse if and only if . Dynamic flow in reconfigured a temporally repeated flow corresponding to with the time horizon .