A Mixed User-Equilibrium and System-Optimal Traffic Flow for Connected Vehicles Stated as a Complementarity Problem

Connected vehicles (CVs), be they autonomous vehicles or a fleet of cargo carriers or Uber, are a matter of when they become a reality and not if. It is not unreasonable to think that CV technology may have a far-reaching impact, even to the genesis of a completely new traffic pattern. To this end, the literature has yet to address the routing behavior of the CVs, namely traffic assignment problem (TAP) (perhaps it is assumed, they ought to follow the traditional shortest possible paths, known as user equilibrium [UE]). It is possible that real-time data could be derived from the vehicles' communications that in turn could be used to achieve a better traffic circulation. In this article, we propose a mathematical formulation to ensure the CVs are seeking the system optimal (SO) principles, while the remainder continue to pursue the old-fashioned UE pattern. The model is formulated as a nonlinear complementarity problem (NCP). This article contributes to the literature in three distinct ways: (i) mathematical formulation for the CVs' routing, stated as a mixed UE-SO traffic pattern, is proposed; (ii) a variety of realistic features are explicitly considered in the solution to the TAP including road capacity, elastic demand, multiclass and asymmetric travel time; and (iii) formal proof of the existence and uniqueness of the solutions are also presented. The proposed methodology is applied to the networks of Sioux-Falls and Melbourne.

NATURVETENSKAP Matematik hsv//swe
NATURAL SCIENCES Mathematics hsv//eng
TEKNIK OCH TEKNOLOGIER Samhällsbyggnadsteknik Transportteknik och logistik hsv//swe
ENGINEERING AND TECHNOLOGY Civil Engineering Transport Systems and Logistics hsv//eng
freeway incident detection
traveler information-systems
link capacity
constraints
assignment problem
network equilibrium
elastic demand
variational inequality
market penetration
algorithm
model
Computer Science
Construction & Building Technology
Engineering
Transportation
Market Penetration

Sarvi, M.University of Melbourne (author)
Patriksson, Michael,1964Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg(Swepub:cth)mipat (author)
Rajabifard, A.University of Melbourne (author)
University of MelbourneInstitutionen för matematiska vetenskaper (creator_code:org_t)

In:Computer-Aided Civil and Infrastructure Engineering: Wiley32:7, s. 562-5801093-96871467-8667

By the author/editor: Bagloee, S. A.; Sarvi, M.; Patriksson, Mich ...; Rajabifard, A.

About the subject

ENGINEERING AND TECHNOLOGY: ENGINEERING AND ...; and Civil Engineerin ...; and Transport System ...

By the university: University of Gothenburg; Chalmers University of Technology

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.