Journal of Science and Science Education
Vol 3 No 1 (2019): JoSSE Vol. 3 No. 1 (May 2019)

Modeling of Three Crossroad Traffic Flow Queuing Systems Using Max-Plus Algebra

Margaretha Nobilio Pasia Janu (Faculty of Teacher Training and Education, Sanata Dharma University, Yoyakarta,Indonesia)



Article Info

Publish Date
13 Aug 2019

Abstract

This study aims to determine the model of the traffic flow queuing system of three crossroads, that is the Monjali, Kentungan, and Gejayan crossroad in Yogyakarta using max-plus algebra. This research is based on data on traffic flow density, especially cars and traffic light duration data on the three crossroads. Then, an image is drawn describing the condition of the crossroad and representing the direction of the movement of the car especially in the direction of Monjali to Gejayan. The model is then compiled which includes the waiting time of the car when the red lights are on, the time the car leaves the crossroad during the green light, and the travel time of the vehicle crossroad with max-plus algebra, so that the total length of time from Monjali to the Gejayan crossroad can be determined. The results of the study show that the queue system can be modeled using max-plus algebra. Furthermore, it can be determined the waiting time, the time to leave the intersection, and the total time needed to cross from the Monjali to exit at Gejayan.

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Journal Info

Abbrev

josse

Publisher

Subject

Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Mathematics Physics

Description

The Journal of Science & Science Education (JoSSE) publishes academic articles of conceptual, experimental, philosophical, theoretical and applied results, and reviews in the field of mathematics and natural sciences from the following subject areas: - Biology & Biology Education - Chemistry & ...