Flow Improvement and Network Flows with Fixed Costs
نویسنده
چکیده
We investigate the complexity and approximability of network ow improvement problems. In these problems, one incurs costs for increasing the capacity of an edge, while the goal is to achieve a ow of maximum value through the network. We study several improvement strategies. Furthermore, we investigate the relationship of network ow improvement problems to network xed cost ow problems, where one incurs a xed charge for each edge with nonzero ow which does not depend on the amount of ow sent over the edge. All xed cost problems studied in this paper are NP-hard to solve. We present various approximation algorithms for the problems under study.
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