AccScience Publishing / IJOSI / Volume 6 / Issue 5 / DOI: 10.6977/IJoSI.202109_6(5).0005
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ARTICLE

Finite mixture of Burr type XII for bus travel time in Klang Valley

Wooi Chen Khoo1* ,  Cynthia C. T. Cheok1 ,  Hooi Ling Khoo2
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1 Department of Applied Statistics, School of Mathematical Sciences, Sunway University, Sunway City, 47500 Petaling Jaya, Selangor , Malaysia
2 Lee Kong Chian Faculty of Engineering and Science, Universiti Tunku Abdul Rahman, Jalan Sungai Long, Bandar Sungai Long, 43000 Kajang, Selangor , Malaysia
IJOSI 2020, 6(5), 44–54; https://doi.org/10.6977/IJoSI.202109_6(5).0005
Received: 12 July 2021 | Revised: 22 July 2021 | Accepted: 7 September 2021 |
© Invalid date by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

Bus travel time analysis is significant to provide useful information to the users for proper journey planning. This study investigated the bus travel time in Klang Valley, Malaysia, which includes the centered city Kuala Lumpur and the state of Selangor. Two bus routes T786 and 851 which cover suburban and urban region have been studied. The data is collected day-to-day. For each link, it is filtered according to morning peak and evening peak, and the travel time is found dual modes, which is well accommodated by the mixture of Burr distribution. The analysis results show that the two-component finite mixture of Burr distribution is viable solution to explain the link travel time. The aim is two-fold. First, the bus travel time data is fitted by the mixture of Burr distribution, subsequently the computation of reliability metrics is carried out. A skew-width method with median based buffer index is considered to measure the reliability. The buffer index of 851 which covers urban region is found relatively high compared to T786. The links which connected by the signalized intersections and junctions tend to show low reliability. For suburban route of T786, the low reliability may be due to the last station. It is found that an additional of 5 minutes waiting time is necessary.

Keywords
Burr
bus operator
mixture distribution
reliability
travel time
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International Journal of Systematic Innovation, Electronic ISSN: 2077-8767 Print ISSN: 2077-7973, Published by AccScience Publishing
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