Distributing Portable Excess Speed Detectors in AL Riyadh City

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RESEARCH PAPER

Distributing Portable Excess Speed Detectors in AL Riyadh City Mahmoud Owais1,2



Mohamed El deeb1 • Youssef Ali Abbas1

Received: 20 January 2020 / Revised: 2 May 2020 / Accepted: 8 June 2020  Iran University of Science and Technology 2020

Abstract This study presents a mathematical approach to distribute portable excess speed detectors in urban transportation networks. This type of sensor is studied to be located in a network in order to separate most of the demand node pairs in the system resembling the well-known traffic sensor surveillance problem. However, newly, the locations are permitted to be changed introducing the dynamic form of the sensor location problem. The problem is formulated mathematically into three different location problems, namely SLP1, SLP2, and SLP3. The aim is to find the optimal number of sensors to intercept most of the daily traffic for each model objective. The proposed formulations are proven to be an NP-hard problem, and then heuristics are called for the solution. The methodology is applied to AL Riyadh city as a real case study network with 240 demand node pairs and 124 two-way streets. In the SLP1, all the demand node pairs are covered by 19% of the network’s roads, whereas SLP2 model shows the best locations for each assumed budget of sensors to purchase. The SLP2 solutions range from 24 sensors with 100% paths coverage to 1 sensor with nearly 20% of paths coverage. The SLP3 model manages to redistribute the sensors in the network while maintaining its traffic coverage efficiency. Four locations structures manage to cover all the network streets with coverage ranges between 100% and 60%. The results show the capability of providing satisfactory solutions with reasonable computing burden. Keywords Speed sensors  Dynamic location problem  Set covering problem  Traffic safety  Heuristic algorithms

1 Introduction Excess speed (ES) has been recognized as the leading risk factor in road traffic accidents, influencing both the severity of the injuries and the risk of a road crash. ES could be defined as exceeding the declared speed of a road, which is driving at a speed above the prevailing road and traffic conditions. It is responsible for the increase in death rates that result from road accidents. Limiting vehicles’ speeds

& Mahmoud Owais [email protected]; [email protected] Mohamed El deeb [email protected] Youssef Ali Abbas [email protected] 1

Civil Engineering Department, Faculty of Engineering, Assiut University, Assiut 71515, Egypt

2

Department of Civil and Environmental Engineering, College of Engineering, Majmaah University, Majmaah 11952, Kingdom of Saudi Arabia

can reduce the number of crashes as well as it can mitigate the impact of them when they happen [1, 2]. The most effective recognized intervention by traffic departments is the speed tickets for over-speeding vehicles [3, 4]. Speed cameras/monitors can easily detect the violating vehicles in real-time traffic operation and then a