Flow exchanges in multi-reservoir systems with spillbacks

Guilhem Mariotte and Ludovic Leclercq

Transportation Research Part B: Methodological, 2019, vol. 122, issue C, 327-349

Abstract: Large-scale traffic flow models based on the Network Macroscopic Fundamental Diagram (MFD) are usually grounded on the bathtub analogy and a conservation equation for vehicle accumulation inside a given urban area. Recent studies have proposed a different approach where the MFD defines the spatial mean speed that is shared by all vehicles in a region while their traveling distance is tracked individually. The former approach is also referred to as “accumulation-based” while the latter is usually named “trip-based”. While extensive studies of both model properties have been carried out for the single reservoir case (a unique region), the multi-reservoir setting still requires some research effort in particular to clearly understand how inflow merge at a reservoir entry and outflow diverge at exit should be managed. These two components play a significant role in the evolution of the whole system, when flows are exchanged between multiple reservoirs. One of the crucial questions is to ensure that congestion properly propagates backwards through a succession of reservoirs when oversaturated situations are observed.

Keywords: Macroscopic fundamental diagram; Multi-reservoir systems; Congestion propagation; Trip lengths; Network traffic; Accumulation-based model; Trip-based model (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (16)

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DOI: 10.1016/j.trb.2019.02.014

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