Mobile Information Service for Networks by Changjun Jiang & Zhong Li

Mobile Information Service for Networks by Changjun Jiang & Zhong Li

Author:Changjun Jiang & Zhong Li
Language: eng
Format: epub
ISBN: 9789811545696
Publisher: Springer Singapore


When , , which is the initial length of the arc. Then the shortest path tree is obtained by the Dijkstra algorithm. When t gradually increases, the optimal solution (the shortest path tree) also changes, but it is stable in the segment. So the variation range of t can be divided into several intervals, in which the shortest path tree is unchanged. When , the potential of the shortest path tree is . Suppose the path from node o to node x in tree is .

When the time is t, according to the recursive algorithm, the potential in is , which is a linear function of t.

The sufficient condition that is the optimal solution is



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