In many researches on time dependent network, algorithms for finding a shortest path have been studied Their objective is to minimize the arrival time to the destination given a starting time at the origin. In most of existing researches on time-depen...
In many researches on time dependent network, algorithms for finding a shortest path have been studied Their objective is to minimize the arrival time to the destination given a starting time at the origin. In most of existing researches on time-dependent network, the problem, finding the minimum delay path given an interval of starting time, seems to be neglected. In this paper, we seek to find both a path having the minimum delay in the network and an optimal starting time at the origin given a interval of possible starting time at the origin. First, we propose a new algorithm for finding shortest paths for all starting time. Second, we present an algorithm for finding an optimal starting time and the corresponding minimum delay path.