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Flow thinning (FT) is a traffic protection mechanism for communication networks with variable link capacities, for example wireless networks. With FT, end‐to‐end traffic demands use dedicated logical tunnels, for example MPLS tunnels, whose nominal capacity is subject to thinning in order to follow fluctuations in link capacities availability. Moreover, instantaneous traffic of each demand is throttled at its originating node accordingly to the current total capacity available on the demand's dedicated tunnels so that the network is always capable of carrying the admitted traffic. In this paper, we deal with efficient, implementable versions of FT, referred to as affine FT (AFT) and quadratic FT (QFT). By deriving appropriate link availability state and path generation algorithms, we show how real‐life network dimensioning problems for AFT/QFT can be efficiently treated using a proper characterization of the network link …