Civil Engineering and Architecture Vol. 9(4), pp. 1268 - 1276
DOI: 10.13189/cea.2021.090428
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The Behavior of the Instantaneous Speed Ratio at Merging Area of Traffic Flowing on Federal Highway

Nur Syahirah Husin Basri ¹, Nurul Akmal Mohamed ^1,*, Muhammad Akram Adnan ², Rab Nawaz ³, Nurul Hila Zainuddin ¹, Nurul Farihan Mohamed ^4
1 Mathematics Department, Faculty of Science & Mathematics, Universiti Pendidikan Sultan Idris, 35900 Tanjong Malim, Perak, Malaysia
² Faculty of Civil Engineering, Universiti Teknologi Mara, 40450 Shah Alam, Selangor, Malaysia
³ Department of Mathematics, COMSATS University Islamabad, Islamabad Campus,Park Road, Islamabad 45550, Pakistan
⁴ Kolej GENIUS Insan, Universiti Sains Islam Malaysia, Bandar Baru Nilai, 71800 Nilai, Negeri Sembilan, Malaysia

ABSTRACT

The purposes of this study are to determine the ratio of instantaneous speed on Federal highway at Kilometer 32.9 from Kuala Lumpur to Shah Alam, to analyse the implications of the instantaneous speed ratio's numerical findings, and to examine the behaviour of convergence for each level of easiness to flow. The continuous flow model is one of the traffic flow theories that conclude the traffic flow is identical to the equation of heat. The research design used in this study is a comparative model. The continuous flow model uses a boundary value problem as well as additional constraints to solve the differential equation solution. The videotaping approach was used to select a sample of highway traffic data on the tapered acceleration path. The findings of this study disclosed that the ratio of instantaneous speed converged slower at lower levels of easiness to flow than at higher levels of easiness to flow. The ratio of instantaneous speed was found to be more accurate when the additional iteration numbers were considered and the traffic's instantaneous speed ratio on the Federal highway at Kilometer 32.9 from Kuala Lumpur to Shah Alam was less than 1.39 at location 0.4 of 1. That value is less than 1.4 as proposed by the theoretical model. In conclusion, the mathematical model was found to be accurate in estimating the safe distance and speed of vehicles on merging area so that the collision can be minimized and for the assessment and decision-making of the configuration of the traffic flow. As the implication, this study offers the potential to increase the efficiency of the traffic flowing through the entrance ramp.

KEYWORDS
Continuous Flow Model, Highway Operation, Instantaneous Speed Ratio, Merging Area, Partial Differential Equation, Traffic Flow

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nur Syahirah Husin Basri , Nurul Akmal Mohamed , Muhammad Akram Adnan , Rab Nawaz , Nurul Hila Zainuddin , Nurul Farihan Mohamed , "The Behavior of the Instantaneous Speed Ratio at Merging Area of Traffic Flowing on Federal Highway," Civil Engineering and Architecture, Vol. 9, No. 4, pp. 1268 - 1276, 2021. DOI: 10.13189/cea.2021.090428.

(b). APA Format:
Nur Syahirah Husin Basri , Nurul Akmal Mohamed , Muhammad Akram Adnan , Rab Nawaz , Nurul Hila Zainuddin , Nurul Farihan Mohamed (2021). The Behavior of the Instantaneous Speed Ratio at Merging Area of Traffic Flowing on Federal Highway. Civil Engineering and Architecture, 9(4), 1268 - 1276. DOI: 10.13189/cea.2021.090428.