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An optimization model for quadratic flow thinning – a traffic protection mechanism for FSO networks

DOI:10.1016/j.osn.2018.10.002 期刊:Optical Switching and Networking 出版年份:2019 更新时间:2025-09-23 15:22:29
摘要: Flow thinning (FT) is an active traffic protection mechanism destined for communication networks with variable capacity of links, for example wireless networks. In FT, end-to-end traffic demands are equipped with dedicated logical tunnels (for example MPLS tunnels) whose maximal capacities are subject to thinning in order to follow the fluctuations of the currently available link capacities. It follows that for each demand the instantaneous traffic realized between its end nodes must accommodate to the current total capacity available on its dedicated tunnels. In the paper we develop an optimization model for network dimensioning for an applicative modification of FT, the so called Quadratic Flow Thinning (QFT), and present a solution algorithm based on the path generation method. We derive relevant pricing problems for basic variants of the QFT mechanism (and for its special case Affine Flow Thinning, AFT), and present a numerical study that illustrates efficiency of the optimization algorithm, as well as compares the network cost for different variants of QFT and AFT.
作者: Micha? Pióro,Ilya Kalesnikau,Michael Poss
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To develop an optimization model for network dimensioning for Quadratic Flow Thinning (QFT) and its variants, and to present a solution algorithm based on path generation, including deriving pricing problems and conducting a numerical study to compare efficiency and network costs.

The paper presents an optimization model for QFT and demonstrates its effectiveness through numerical studies. QFT with general quadratic formula and full range () achieves network costs close to FT, while being more implementable. The path generation algorithm is efficient for most cases, but computational times increase for larger state scenarios. Future work includes adding modularity, improving efficiency, and testing on realistic network instances.

The optimization process for quadratic formulas is computationally inefficient due to many variables. The study uses a specific network instance (polska) which may not fully represent all FSO networks. Signalling mechanisms for full range thinning formulas are impractical. Pricing problems for certain ranges (e.g., +(d, p)) are complex and time-consuming.

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