Research on Network Max-flow Pareto Expansion Problem
- Received Date: 2003-06-04
- Publish Date: 2006-02-15
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Key words:
- network flow /
- capacity expansion /
- Pareto optimal solution /
- inverse optimization
Abstract: The network capacity is defined as the value of the maximum s-t flow, and a unified model is introduced for the network capacity expansion with the time and cost constraints. By the transformation of the underlying network, the network capacity is converted to a minimum cost flow problem instead. Also developed are the algorithm to find all pareto optimal solutions about time and cost with given expanded network max-flow. The model and algorithm are proven to be valid with an example, and they not only allow capturing various types of capacity expansion, but also are useful in network programming.
Citation: | ZHANG Gang-ting, JIANG Xiao-bing, WANG Shu-zhen. Research on Network Max-flow Pareto Expansion Problem[J]. Journal of University of Electronic Science and Technology of China, 2006, 35(1): 89-92. |