On modelling urban transportation networks via hybrid Petri nets

Febbraro, Angela Di

doi:10.1016/s0967-0661(04)00084-x

Cited by 10 publications

(13 citation statements)

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“…We propose a model for real time control of freeways by ramp metering based on a high-level Petri Net (PN) formalism. It is well-known that PN based discrete event models are suited to describe signal traffic control and concurrent activities in traffic networks, including large systems, see for instance the works [3], [4], [5], [6], and [9]. In particular, in [8] the authors propose an effective and efficient modular model for traffic management and control based on First Order Hybrid Petri Nets (FOHPN) [1].…”

Section: Introductionmentioning

confidence: 99%

A freeway traffic control model by first order hybrid Petri nets

Dotoli

Fanti

Iacobellis

2011

2011 IEEE International Conference on Automation Science and Engineering

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The paper proposes a model for real time control of freeways by ramp metering, an emerging technique for efficient freeway management. A modular framework based on first order hybrid Petri nets models the vehicle flows by a first order fluid approximation. Moreover, the lane interruptions and the signal timing plan controlling on-ramps are described by the discrete event dynamics using timed Petri nets. The proposed formalism enables the network designer to choose suitable ramp metering control signals in order to maximize the traffic flow by optimizing a suitable objective function. The optimal mode of operation is performed based on the state knowledge of the obtained linear discrete-time, time-varying state variable model of the freeway to react to unpredictable events such as the blocking of a lane due to an accident or to work in progress. The proposed model is applied to a case study to show its effectiveness.

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Section: Introductionmentioning

confidence: 99%

A freeway traffic control model by first order hybrid Petri nets

Dotoli

Fanti

Iacobellis

2011

2011 IEEE International Conference on Automation Science and Engineering

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“…These researches aim to minimize delays or to maximize the intersection capacity. Some recent research considers the isolated intersection in the urban traffic network as a hybrid system [8], [9], [11], [19] and others propose the game theory approach [27] to model signalized intersections.…”

Section: Introductionmentioning

confidence: 99%

Steady-state and N-stages control for isolated controlled intersections

Haddad

Schutter

Mahalel

et al. 2009

2009 American Control Conference

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In this paper a simplified isolated controlled intersection is introduced. Discrete-event piecewise affine (PWA) and discrete-event max-plus models are proposed to formulate the optimization problem for the switching sequences. Two control problems are considered: steady-state control and Nstages control. The formulated discrete-event PWA and maxplus problems are converted to be solved by linear programming (LP), mixed-integer programming (MIP), and mixedinteger linear programming (MILP). In the special case when the criterion is a strictly monotonous and linear function of the queue lengths, the steady-state control problem is solved analytically.

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“…Besides, interesting results can be obtained analyzing the structure of a net. If microsimulation is desired, further work can be done, one way is to increase the number of states other is the used of Colored Petri nets and timed nets [2,3].…”

Section: Introductionmentioning

confidence: 99%

“…This work models urban traffic networks as Petri nets, this has done before [2,3]. However urban traffic networks are very complex and constantly changing, so the original approach of this work is to start with basic elements that allow to model a street: petri net constituted by a sequence of transitions and places.…”

Section: Introductionmentioning

confidence: 99%

Petri net tool for the construction of street networks

Tamayo

2009

2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)

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The street network of a city is a dynamic entity in continuous change. Sometimes change can be seen as 'permanent', sometimes as 'temporary.' New streets or changes to existing streets can be seen as permanent. Signal malfunctions, potholes, accidents change the capacity of the network can be seen as a temporary change. The dynamic nature of the network requires a tool to model and analyse it; while allowing constants updates. This work proposes a Petri net tool that allows the user to flexibly model, modify and analyze in a progressive fashion a street network. An example of its use is included. The work is restricted to the definition of the network.

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On modelling urban transportation networks via hybrid Petri nets

Cited by 10 publications

References 0 publications

A freeway traffic control model by first order hybrid Petri nets

A freeway traffic control model by first order hybrid Petri nets

Steady-state and N-stages control for isolated controlled intersections

Petri net tool for the construction of street networks

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