The Piecewise Constant/Linear Solution for Dynamic User Equilibrium

František Kolovský () and Ivana Kolingerová ()
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František Kolovský: University of West Bohemia
Ivana Kolingerová: University of West Bohemia

Networks and Spatial Economics, 2022, vol. 22, issue 4, No 2, 737-765

Abstract: Abstract 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.

Keywords: Dynamic user equilibrium; Piecewise linear; Piecewise constant; Dynamic traffic assignment (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11067-022-09560-1

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