Available online at www.CivileJournal.org
Civil Engineering Journal
(E-ISSN: 2476-3055; ISSN: 2676-6957)
Vol. 8, No. 11, November, 2022
2378
Modeling Sustainable Traffic Behavior: Avoiding Congestion at
a Stationary Bottleneck
Imran Badshah
1*
, Zawar H. Khan
2
, T. Aaron Gulliver
3
, Khurram S. Khattak
4
,
Syed Saad
5
1
National Institute of Urban Infrastructure Planning, University of Engineering & Technology, Peshawar, 25000, Pakistan.
2
Department of Electrical Engineering, University of Engineering and Technology, Peshawar, Pakistan.
3
Department of Electrical and Computer Engineering, University of Victoria, PO Box 1700, STN CSC, Victoria, BC, Canada.
4
Department of Computer System Engineering, University of Engineering and Technology, Peshawar, Pakistan.
5
Department of Civil and Environmental Engineering, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Malaysia.
Received 13 July 2022; Revised 23 September 2022; Accepted 17 October 2022; Published 01 November 2022
Abstract
Sustainable traffic behaviour is increasing in importance as traffic volume rises due to population growth. In this paper, a
model for traffic flow at a stationary bottleneck is developed to determine the parameters that cause congestion. Towards
this goal, traffic density, speed, and delay were acquired during peak and off-peak periods in the morning and afternoon at
a stationary bottleneck in Peshawar, KPK, Pakistan. The morning and afternoon peak periods have high densities, low
speeds, and considerable delays. Regression models are developed using this data. These results indicate that there is a
linear relationship between density and time at the stationary bottleneck and a negative linear relationship between density
and speed. Thus, an increase in density increases the time delay and reduces the speed. I comprehensive traffic delay model
is characterized by a stationary bottleneck. The Kolmogorov-Smirnov (KS) test and P-values were used to identify the
best-fit distribution for speed and density. The binomial and generalized extreme values are considered the best fits for
density and speed. The results presented can be used to develop accurate simulation models for stationary bottlenecks to
reduce congestion.
Keywords: Stationary Bottleneck; Target Lane; Traffic Model; Lane Changes; Traffic Congestion; Delay.
1. Introduction
Sustainable traffic behavior can reduce travel time and cost. Traffic congestion in Karachi, Pakistan, is estimated to
cost fifty thousand dollars daily [1]. This congestion can be mitigated through sustainable system design, such as real-
time optimization of traffic signal patterns [2]. Traffic flow is typically analyzed using speed and density [3]. Speed is
the distance traveled by a vehicle in a unit of time, and density is the number of vehicles per unit length in a lane [4].
An increase in density results in a reduction in speed, which increases travel time [5]. The difference between the time
for free-flowing traffic and the actual time taken is called the travel time delay [6]. Traffic bottlenecks increase this
delay [7]. Traffic bottlenecks can be categorized as stationary or moving [8, 9]. At moving bottlenecks, vehicles follow
slow vehicles due to the unavailability of space to overtake. As a result, they adopt the velocity of the leading vehicles,
which is known as the platoon velocity [9, 10]. At stationary bottlenecks, vehicles are forced to change lanes because of
* Corresponding author: imranbadshah07@gmail.com
http://dx.doi.org/10.28991/CEJ-2022-08-11-02
© 2022 by the authors. Licensee C.E.J, Tehran, Iran. This article is an open access article distributed under the terms and
conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).