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The inverse maximum dynamic flow problem

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Abstract

We consider the inverse maximum dynamic flow (IMDF) problem. IMDF problem can be described as: how to change the capacity vector of a dynamic network as little as possible so that a given feasible dynamic flow becomes a maximum dynamic flow. After discussing some characteristics of this problem, it is converted to a constrained minimum dynamic cut problem. Then an efficient algorithm which uses two maximum dynamic flow algorithms is proposed to solve the problem.

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Correspondence to Mehri Bagherian.

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Bagherian, M. The inverse maximum dynamic flow problem. Sci. China Math. 53, 2709–2717 (2010). https://doi.org/10.1007/s11425-010-3129-1

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  • DOI: https://doi.org/10.1007/s11425-010-3129-1

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