An urban traffic network model via coloured timed petri nets

Dotoli, Mariagrazia; Fanti, Maria Pia

doi:10.1016/s1474-6670(17)30747-4

Cited by 37 publications

(20 citation statements)

References 14 publications

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“…In Ioslovich et al [26], the above LP (see (1)- (5)) was transformed into an equivalent continuous-time optimal control problem (see (6)) with free terminal time . The decision variable is V( ).…”

Section: The Discrete-time Lp Model and Its Pmp Solutionmentioning

confidence: 99%

“…Ioslovich et al [26] applied Pontryagin Maximum Principle (PMP) to derive the optimal solution to the continuoustime model (see (6)). …”

Section: The Discrete-time Lp Model and Its Pmp Solutionmentioning

confidence: 99%

“…Discussions on the road networks that consist of many oversaturated intersections can be found in researches done by Chang and Sun [4], Di Febbraro and Sacco [5], Dotoli and Fanti [6], Ma [7,8], and Sun et al [9,10]. In the research done by Varaiya [11] and Le et al [12], the study of pressure-based signal control developed stability properties of a decentralized signal timing policy for networks with stochastic arrivals.…”

Section: Introductionmentioning

confidence: 99%

“…(16) and set̂1 ←̂; (5) if (̂− 1) ≤ min then (6) (̂− 1) ← min ,̂←̂1 − 1 and updatê1 and̂2 by Eq. (15) and (16); (7) end (8) end (9) while (̂1,̂2,̂− 1) > 0 do; (10)̂2 ←̂2 − 1.…”

mentioning

confidence: 99%

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Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection

Tan

Shi

et al. 2017

Journal of Sensors

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A classical control problem for an isolated oversaturated intersection is revisited with a focus on the optimal control policy to minimize total delay. The difference and connection between existing continuous-time planning models and recently proposed discrete-time planning models are studied. A gradient descent algorithm is proposed to convert the optimal control plan of the continuous-time model to the plan of the discrete-time model in many cases. Analytic proof and numerical tests for the algorithm are also presented. The findings shed light on the links between two kinds of models.

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Section: The Discrete-time Lp Model and Its Pmp Solutionmentioning

confidence: 99%

“…Ioslovich et al [26] applied Pontryagin Maximum Principle (PMP) to derive the optimal solution to the continuoustime model (see (6)). …”

Section: The Discrete-time Lp Model and Its Pmp Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection

Tan

Shi

et al. 2017

Journal of Sensors

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“…Petri Nets (Petri, 1962;Girault and Valk, 2004) provide a graphical modeling formalism based on automata theory and find widespread use in different fields of engineering (Dotolia and Fanti, 2006;Shang et al, 2004). Petri Nets feature two basic components: places and transitions.…”

Section: Simulator Using Colored Petri Netsmentioning

confidence: 99%

Quantitative comparison of performance analysis techniques for modular and generic network-on-chip

et al. 2009

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Abstract. NoC-specific parameters feature a huge impact on performance and implementation costs of NoC. Hence, performance and cost evaluation of these parameter-dependent NoC is crucial in different design-stages but the requirements on performance analysis differ from stage to stage. In an early design-stage an analysis technique featuring reduced complexity and limited accuracy can be applied, whereas in subsequent design-stages more accurate techniques are required.In this work several performance analysis techniques at different levels of abstraction are presented and quantitatively compared. These techniques include a static performance analysis using timing-models, a Colored Petri Netbased approach, VHDL-and SystemC-based simulators and an FPGA-based emulator. Conducting NoC-experiments with NoC-sizes from 9 to 36 functional units and various traffic patterns, characteristics of these experiments concerning accuracy, complexity and effort are derived.The performance analysis techniques discussed here are quantitatively evaluated and finally assigned to the appropriate design-stages in an automated NoC-design-flow.

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Modular design and adaptive control of urban signalized intersections systems using synchronized timed Petri nets

Lamghari Elidrissi,

Nait Sidi Moh,

Tajer

2024

Pers Ubiquit Comput

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An urban traffic network model via coloured timed petri nets

Cited by 37 publications

References 14 publications

Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection

Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection

Quantitative comparison of performance analysis techniques for modular and generic network-on-chip

Modular design and adaptive control of urban signalized intersections systems using synchronized timed Petri nets

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