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The Piecewise Constant/Linear Solution for Dynamic User Equilibrium
Networks and Spatial Economics ( IF 2.4 ) Pub Date : 2022-05-23 , DOI: 10.1007/s11067-022-09560-1
František Kolovský , Ivana Kolingerová

The aim of this work is to increase the precision of the solution of dynamic user equilibrium assuming that the computation takes a reasonable time so that the solution is useful in practice. The proposed method replaces the classical grid-based solution by a near continuous-time solution based on piecewise linear/constant functions that removes a lot of disadvantage of discretization. The testing shows that the precision of the solution can be easily driven by a few approximation parameters that can be changed during computation. Using the proposed method, the near continuous time solution of the dynamic user equilibrium for a real size network can be computed in reasonable computation time.



中文翻译:

动态用户均衡的分段常数/线性解

这项工作的目的是提高动态用户平衡解决方案的精度,假设计算需要合理的时间,以便解决方案在实践中有用。所提出的方法用基于分段线性/常数函数的近连续时间解代替了经典的基于网格的解,消除了离散化的许多缺点。测试表明,解决方案的精度可以很容易地通过一些可以在计算过程中改变的近似参数来驱动。使用所提出的方法,可以在合理的计算时间内计算出真实规模网络的动态用户平衡的近似连续时间解。

更新日期:2022-05-24
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