Research Article

Network Reconfiguration with Orientation-Dependent Transit Times

Algorithm 2

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