Optimal dynamic route guidance: A model predictive approach using the macroscopic fundamental diagram

Hajiahmadi, Mohammad; Knoop, Victor L.; Schutter, Bart De; Hellendoorn, Hans

doi:10.1109/itsc.2013.6728366

Cited by 55 publications

(40 citation statements)

References 16 publications

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“…Moreover [16] describes novel routing strategies that distribute the traffic load across a larger network area to improve the overall travel times. According to [16], [17], [18] utilizing the NFD concept the traffic dynamics of an urban region can be realized into identifying the optimal split rates for the route guidance techniques aiming to reduce the congestion level of the particular area, balancing the load and to minimize the overall travel times.…”

Section: Related Workmentioning

confidence: 99%

See 1 more Smart Citation

Effective Multi-region Traffic Control and Demand Management Using an Overlay Route-Reservation Scheme

Menelaou

Kolios

Timotheou

et al. 2018

2018 21st International Conference on Intelligent Transportation Systems (ITSC)

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In this work, we assume that a heterogeneous urban area is partitioned into multiple homogeneous regions. The proposed approach creates an overlay graph which is used by the reservation architecture to control the traffic flow within each region. In this approach, a vehicle is allowed to enter a region only if it is anticipated that the region will not exceed its critical capacity during the interval that the vehicle will require to traverse the region. When a vehicle is about to start its journey, informs a road side unit (RSU) its origin and destination. The RSU then responds with the starting time and the path to be followed by the vehicle. The given starting time manages each region's inflow while the given path avoids regions that are expected to be at capacity when the vehicle is expected to traverse the particular region. In this paper, the route-reservation problem is formulated and heuristic solutions are proposed to solve it in an online fashion. Finally, realistic simulations across an area of San Francisco are conducted to demonstrate the gains of the proposed approach.

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Section: Related Workmentioning

confidence: 99%

“…Methods like[17],[18],[16] can not be directly compared since they require other parameters e.g., split rates among the boundaries of the examined region which can arbitrarily affect the results…”

mentioning

confidence: 99%

Effective Multi-region Traffic Control and Demand Management Using an Overlay Route-Reservation Scheme

Menelaou

Kolios

Timotheou

et al. 2018

2018 21st International Conference on Intelligent Transportation Systems (ITSC)

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“…At the same time, the queues at the controlled gates should be minimized, too. Formalizing these goals, a regulator control problem is described, with N PN,crit as set point for the number of vehicles through Equation (15), and zero for queue lengths by applying Equation (16). The controller also needs to minimize the oscillation in input values.…”

Section: Objective Function Of the Optimal Controlmentioning

confidence: 99%

Nonlinear gating control for urban road traffic network using the network fundamental diagram

Csikós

Tettamanti

Varga

2014

J of Advced Transportation

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Summary This work proposes a nonlinear model predictive controller for the urban gating problem. The system model is formalized based on a research on existing models of the network fundamental diagram and the perimeter control systems. For the existing models, modifications are suggested: additional state variables are allocated to describe the queue dynamics at the network gates. Using the extended model, a nonlinear model predictive controller is designed offering a ‘non‐greedy’ policy compared with previous, ‘greedy’ gating control designs. The greedy and non‐greedy nonlinear model predictive control (NMPC) controllers are compared with a greedy linear feedback proportional‐integral‐derivative (PID) controller in different traffic situations. The proposed non‐greedy NMPC controller outperforms the other two approaches in terms of travel distance performance and queue lengths. The performance results justify the consideration of queue lengths in dynamic modeling, and the use of NMPC approach for controller design. Copyright © 2014 John Wiley & Sons, Ltd.

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“…This function, called the Network Macroscopic Fundamental Diagram (NMFD), was f rst introduced in Godfrey (1969) and later used by Mahmassani et al (1984Mahmassani et al ( , 1987, but only recently was shown to have strong empirical support suggesting a rather stable shape Daganzo (2007); Geroliminis and Daganzo (2007); Wang et al (2015). Many control applications have been proposed since (e.g., Haddad and Geroliminis, 2012;Aboudolas and Geroliminis, 2013;Ampountolas et al, 2014;Hajiahmadi et al, 2013;Knoop and Hoogendoorn, 2014;Yildirimoglu et al, 2015;Kouvelas et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

“…Section 3 shows that only a single network parameter is required to characterize the DUE solution, the freeway to NMFD capacity ratio. Section 4 proposes a continuum approximation to account for the spatial evolution of congestion, by including variable trip length and variable NMFD coverage area, typically assumed constant in the literature (e.g., Haddad and Geroliminis, 2012;Aboudolas and Geroliminis, 2013;Hajiahmadi et al, 2013;Leclercq et al, 2015;Yildirimoglu and Geroliminis, 2014b). Finally section 5 presents a discussion.…”

Section: Introductionmentioning

confidence: 99%

Minimal parameter formulations of the dynamic user equilibrium using macroscopic urban models: Freeway vs city streets revisited

Laval

Leclercq

Chiabaut

2018

Transportation Research Part B: Methodological

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Abstr actThis paper investigates the dynamic user equilibrium (DUE) on a single origin-destination pair with two alternative routes, a freeway with a f xed capacity and the surrounding city-streets network, modeled with a network macroscopic fundamental diagram (NMFD). We f nd using suitable transformations that only a single network parameter is required to characterize the DUE solution, the freeway to NMFD capacity ratio. We also show that the stability and convergence properties of this system are captured by the constant demand case, which corresponds to an autonomous dynamical system that admits analytical solutions. This solution is characterized by two critical accumulation values that determine if the steady state is in free-f ow or gridlock, depending on the initial accumulation. Additionally, we also propose a continuum approximation to account for the spatial evolution of congestion, by including variable trip length and variable NMFD coverage area in the model. It is found that gridlock cannot happen and that the steady-state solution is independent of surface network parameters. These parameters do a ect the rate of convergence to the steady-state solution, but convergence rates appear virtually identical when time is expressed in units of the NMFD free-f ow travel time.Keywords: dynamic traffic assignment, macroscopic fundamental diagram 2017. The Authors. This manuscript version is made available under the CC-BY-NC-ND 4.0 licence. http://creativecommons.org/licenses/by-nc-nd/4.0/

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Optimal dynamic route guidance: A model predictive approach using the macroscopic fundamental diagram

Cited by 55 publications

References 16 publications

Effective Multi-region Traffic Control and Demand Management Using an Overlay Route-Reservation Scheme

Effective Multi-region Traffic Control and Demand Management Using an Overlay Route-Reservation Scheme

Nonlinear gating control for urban road traffic network using the network fundamental diagram

Minimal parameter formulations of the dynamic user equilibrium using macroscopic urban models: Freeway vs city streets revisited

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