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This paper considers a network with established transportation flows between nodes which take place along shortest paths. Links on the network may be one-way or two-way. One-way links, although lengthening some shortest paths, are faster, effectively reducing the travel time in the permitted direction. The objective is to select the optimum configuration of one-way and two-way routes to minimize the total flow-weighted transportation time (distance) in the system.
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Drezner et al. (1997) studied this question.
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