Abstract

Taking time-varying parking demands and supplies into account, this paper develops a dynamic parking choice model to simulate drivers’ searching for parking spaces between parking lots. In this study, each parking lot has one access passage and vehicles can move or wait for entering the park in the access passage. The flow propagation formula in the access passage of parking lots is established to obtain the number of vehicles entering the parking lot from the access passage within each time interval. This paper brings forward the instantaneous dynamic user-optimal condition of dynamic parking choice, constructs an equivalent variational inequality (VI) model and develops a diagonalization algorithm to solve the model. A numerical example demonstrates the rate of in-flow, the rate of out-flow, link flow, instantaneous travel time on each link or access passage of the parking lot, and the amount and routes of cruising traffic at each time point.

Highlights

  • In reality, drivers may need to search for a vacant parking space between parking lots in the vicinity of the destination

  • This paper models dynamic parking choice behaviours of drivers between parking lots, calculates the number of vehicles going into or out of each park at each time point, calculates link flows on the surrounding road networks, and finds out the routes of cruising traffic

  • This paper has presented a dynamic parking choice model to simulate drivers’ search for parking spaces between parking lots and to obtain the data of vehicles going into or out of the park timely, traffic flows on the surrounding road network, and the amount and routes of cruising traffic owing to parking search

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Summary

INTRODUCTION

Drivers may need to search for a vacant parking space between parking lots in the vicinity of the destination. This paper models dynamic parking choice behaviours of drivers between parking lots, calculates the number of vehicles going into or out of each park at each time point, calculates link flows on the surrounding road networks, and finds out the routes of cruising traffic. Did not take parking choice at the end of the trip into account in modelling the dynamic route choice behaviours of the drivers This has encouraged the carrying out of this study. The dynamic parking choice model simulates drivers’ searching for the parking spaces between parking lots, and considers road networks and parking at the parking lots, so it extends the dynamic traffic assignment theory which has been studied by a lot of researchers [8, 9, 15]

NOTATIONS AND DEFINITIONS
FLOW PROPAGATION FORMULA AT PARKING LOTS
VI MODEL FOR DYNAMIC PARKING CHOICE
SOLUTION ALGORITHM
NUMERICAL EXAMPLE
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