Minimum cost time-varying network flow problems

被引:18
|
作者
Nasrabadi, Ebrahim [1 ]
Hashemi, S. Mehdi [1 ]
机构
[1] Amirkabir Univ Technol, Dept Comp Sci, Tehran, Iran
来源
OPTIMIZATION METHODS & SOFTWARE | 2010年 / 25卷 / 03期
关键词
network flows; time-varying networks; shortest dynamic path; minimum cost dynamic flow; MAXIMAL DYNAMIC FLOWS; SHORTEST-PATH; ALGORITHMS;
D O I
10.1080/10556780903239121
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper deals with a general minimum cost dynamic flow problem in a discrete time model with time-varying transit times, transit costs, transit capacities, storage costs, and storage capacities. For this problem, an algorithm of time complexity O(V nT(n+T)) is presented, where V is an upper bound on the total supply, n is the number of nodes, and T denotes the given time horizon of the dynamic flow problem. The algorithm is a discrete-time version of the successive shortest path algorithm.
引用
收藏
页码:429 / 447
页数:19
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