SCIENCE@home

Allocation of street parking facilities in a capacitated network with equilibrium constraints on drivers’ traveling and cruising for parking

Yuchuan Du,Shanchuan Yu,Q. Meng,Shengchuan Jiang

Published 2019 in Transportation Research Part C: Emerging Technologies

ABSTRACT

Abstract This study presents a method of mathematical programs with equilibrium constraints (MPEC) to determine the optimal sites of street parking facilities in a working area where drivers travel through or cruise for parking spaces in the morning commute. The optimal sites of street parking facilities incur shortest queuing delay in the capacitated network. We first propose a variational inequality to formulate the heterogeneous quantal response equilibrium (HQRE) for parkers in non-cooperative parking game and the logit-based stochastic user equilibrium (SUE) for travelers traversing the area. The HQRE is developed under the “infinite cyclic flows” assumption, allowing all possible routes, containing the cyclic routes of all times including the infinite. Therefore boundedly rational parkers who search the same curb for more than once via cyclic cruising strategies can be modeled in the parking game. Then based on the equilibrium conditions, the MPEC was developed to minimize the total queuing delay for all drivers in the area. The radial basis function (RBF) model algorithm, one of the surrogate model-based algorithms, was proposed to iteratively solve the MPEC problem. A numerical example from a real working area is presented to illustrate the proposed MPEC problem. The numerical results show that the traffic flow increase caused by cruising for parking can be presented by our model. In addition, the appropriate allocation should avoid parking spaces at the curbs of arterial where travelers drive for traversing the area and the streets intersecting the arterial.

PUBLICATION RECORD

  • Publication year

    2019

  • Venue

    Transportation Research Part C: Emerging Technologies

  • Publication date

    2019-04-01

  • Fields of study

    Computer Science, Engineering, Economics

  • Identifiers
    DOI 10.1016/J.TRC.2019.02.015
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

CITATION MAP

EXTRACTION MAP

CLAIMS

  • No claims are published for this paper.

CONCEPTS

  • No concepts are published for this paper.

REFERENCES

Showing 1-50 of 50 references · Page 1 of 1

CITED BY

Showing 1-29 of 29 citing papers · Page 1 of 1