Bittihn, Stefan and Schadschneider, Andreas (2016). Braess paradox in a network of totally asymmetric exclusion processes. Phys. Rev. E, 94 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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Abstract

We study the Braess paradox in the transport network as originally proposed by Braess with totally asymmetric exclusion processes (TASEPs) on the edges. The Braess paradox describes the counterintuitive situation in which adding an edge to a road network leads to a user optimum with higher travel times for all network users. Travel times on the TASEPs are nonlinear in the density, and jammed states can occur due to the microscopic exclusion principle, leading to a more realistic description of trafficlike transport on the network than in previously studied linear macroscopic mathematical models. Furthermore, the stochastic dynamics allows us to explore the effects of fluctuations on network performance. We observe that for low densities, the added edge leads to lower travel times. For slightly higher densities, the Braess paradox occurs in its classical sense. At intermediate densities, strong fluctuations in the travel times dominate the system's behavior due to links that are in a domain-wall state. At high densities, the added link leads to lower travel times. We present a phase diagram that predicts the system's state depending on the global density and crucial path-length ratios.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Bittihn, StefanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Schadschneider, AndreasUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-252287
DOI: 10.1103/PhysRevE.94.062312
Journal or Publication Title: Phys. Rev. E
Volume: 94
Number: 6
Date: 2016
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2470-0053
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Physics, Fluids & Plasmas; Physics, MathematicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/25228

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