A STUDY ON VARIABLE QUEUE LENGTH AND SPEED LIMIT ON TOLL PLAZA (ONE-LANE TYPE CASE)
Kent Christian A. Castor ,
Division of Physical Sciences and Mathematics, College of Arts and Sciences, University of the Philippines Visayas, Miagao, Iloilo 5023, PhilippinesMarrick C. Neri ,
Institute of Mathematics, College of Science, University of the Philippines Diliman, Quezon City 1101, PhilippinesAbstract
The heavy volume of vehicles arriving at toll plazas causes traffic congestion that contributes to longer travel time in toll roads. Utilizing the M/G/1 system under the queuing theory, a nonlinear programming model is developed to identify the appropriate speed limit to be imposed on the freeway of a toll road. The optimal speed limit minimizes the travel time of vehicles in the toll road while it maintains the queue length of vehicles waiting for payment within an arbitrarily set value. A formula solving for the optimal speed limit of a toll plaza operating a one type of tollbooth is developed by simplifying the constraints and observing the behavior of the objective function. The formula is tested using available traffic data.
Keywords
Nonlinear Programming, Queuing Theory, Optimization, Toll Road System, Travel Time, Queue Length.Browse Issue
CiteScore for Management Science and Operations Research
8.1
2021CiteScore
89th percentile
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CiteScore for Engineering (miscellaneous)
8.1
2021CiteScore
93rd percentile
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