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Paper details
Number 1 - March 2022
Volume 32 - 2022
Sensor location for travel time estimation based on the user equilibrium principle: Application of linear equations
Shuhan Cao, Hu Shao, Feng Shao
Abstract
Travel time is a fundamental measure in any transportation system. With the development of technology, travel time can
be automatically collected by a variety of advanced sensors. However, limited by objective conditions, it is difficult for
any sensor system to cover the whole transportation network in real time. In order to estimate the travel time of the whole
transportation network, this paper gives a system of linear equations which is constructed by the user equilibrium (UE)
principle and observed data. The travel time of a link which is not covered by a sensor can be calculated by using the
observed data collected by sensors. In a typical transportation network, the minimum number and location of sensors
to estimate the travel time of the whole network are given based on the properties of the solution of a systems of linear
equations. The results show that, in a typical network, the number and location of sensors follow a certain law. The results
of this study can provide reference for the development of transportation and provide a scientific basis for transportation
planning.
Keywords
travel time estimation, sensor location, user equilibrium principle, linear equations