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The Piecewise Constant/Linear Solution for Dynamic User Equilibrium

Author

Listed:
  • František Kolovský

    (University of West Bohemia)

  • Ivana Kolingerová

    (University of West Bohemia)

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.

Suggested Citation

  • František Kolovský & Ivana Kolingerová, 2022. "The Piecewise Constant/Linear Solution for Dynamic User Equilibrium," Networks and Spatial Economics, Springer, vol. 22(4), pages 737-765, December.
    • Handle: RePEc:kap:netspa:v:22:y:2022:i:4:d:10.1007_s11067-022-09560-1
    DOI: 10.1007/s11067-022-09560-1
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    References listed on IDEAS

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