On the conflict with dioid algebra: Autonomous Intersection Management

Abbas-Turki, Abdeljalil; Ahmane, Mourad; Gao, Fei; Wu, Jia; El-Moudni, Abdellah; Miraoui, Abdellatif

doi:10.1109/iciea.2012.6360872

Cited by 4 publications

(3 citation statements)

References 14 publications

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“…System modeling, performance analysis and optimal control are important components of DES design (Goverde, 2010; Lahaye et al , 2003; Nait-Sidi-Moh et al , 2009). The purpose is to design the routing function so that it has the required functions and to model, analyze and evaluate the performance of the public transport network with synchronous, asynchronous and concurrent characteristics (Abbas-Turki et al , 2012; Idel Mahjoub et al , 2020; Mahjoub et al , 2017). In addition, supply chain management is also a kind of DES.…”

Section: Literature Reviewmentioning

confidence: 99%

Stability analysis for scheduled air traffic flow

Yun-xiang

2023

AEAT

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Purpose Modeling and system performance analysis play an important role in the planning of air traffic system. In particular, this paper aims to concentrate on the modeling and the performance evaluation of air transportation system. Design/methodology/approach It has shown that system matrices inherent in the airspace network can be acquired based on the service times of flights. This paper deals with a logical modeling which can avoid temporal synchronization conflict of resources. As a result, a class of queuing system is investigated to obtain a representation of the airspace network dynamics using dioid model. Findings The analysis of the air traffic system is conducted by solving the system state model. This indicates that it is feasible to use eigenvalues of system model for acquiring characteristics of the considered air transport systems. Practical implications The departure scheduling prototype presented in this paper can offer air traffic controller a decision support tool to build optimal departure sequences for aircraft. Originality/value The properties of max-plus algebra described allow us to apply linear algebra concepts like eigenvalue and eigenvectors to obtain a solution to the air traffic system being modeled. By solving and analyzing the dioid model, this paper evaluated some performance measures of airspace network.

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Section: Literature Reviewmentioning

confidence: 99%

Stability analysis for scheduled air traffic flow

Yun-xiang

2023

AEAT

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“…Hence, we will not go deep into the deadlock and safety issue. The readers could find more detailed discussions in [22] where a P‐timed Petri net model [23] is proposed to analyse the safety of the system.…”

Section: System Overviewmentioning

confidence: 99%

Cooperative vehicle‐actuator system: a sequence‐based framework of cooperative intersections management

Perronnet

Abbas-Turki

2014

IET Intelligent Transport Systems

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“…The reader could find more detailed discussions in the work of Abbas-Turki et al (2012), where a P-timed Petri net model (DiCesare et al, 1994) is proposed to analyze the safety of the proposed system.…”

Section: 2mentioning

confidence: 99%

Cooperative driving at isolated intersections based on the optimal minimization of the maximum exit time

Abbas-Turki

Perronnet

2013

International Journal of Applied Mathematics and Computer Science

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Traditional traffic control systems based on traffic light have achieved a great success in reducing the average delay of vehicles or in improving the traffic capacity. The main idea of these systems is based on the optimization of the cycle time, the phase sequence, and the phase duration. The right-of-ways are assigned to vehicles of one or several movements for a specific time. With the emergence of cooperative driving, an innovative traffic control concept, Autonomous Intersection Management (AIM), has emerged. In the framework of AIM, the right-of-way is customized on the measurement of the vehicle state and the traffic control turns to determine the passing sequence of vehicles. Since each vehicle is considered individually, AIM faces a combinatorial optimization problem. This paper proposes a dynamic programming algorithm to find its optimal solution in polynomial time. Experimental results obtained by simulation show that the proper arrangement of the vehicle passing sequence can greatly improve traffic efficiency at intersections.

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On the conflict with dioid algebra: Autonomous Intersection Management

Cited by 4 publications

References 14 publications

Stability analysis for scheduled air traffic flow

Stability analysis for scheduled air traffic flow

Cooperative vehicle‐actuator system: a sequence‐based framework of cooperative intersections management

Cooperative driving at isolated intersections based on the optimal minimization of the maximum exit time

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