Proportional-Switch Adjustment Process with Elastic Demand and Congestion Toll in the Absence of Demand Functions

Lie Han ()
Additional contact information
Lie Han: Wuhan Textile University

Networks and Spatial Economics, 2022, vol. 22, issue 4, No 1, 709-735

Abstract: Abstract This paper proposes a dynamic process to formulate the day-to-day evolution process of traffic flows, which is called “proportional-switch adjustment process with elastic demand (PSAP-ED)”. PSAP-ED extends Smith’s process (Smith in Transp Sci 18:259–304, 1984) from the case of fixed demand to the case of elastic demand and characterizes the process of approaching equilibrium states from non-equilibrium states in traffic networks. Several desirable properties of PSAP-ED are provided, such as the equivalence between user equilibrium and the stationary state of PSAP-ED, the existence and uniqueness of the stationary flow state, and the convergence of PSAP-ED. We also show that a proper fixed toll scheme can drive PSAP-ED to evolve towards system optimum states. When the demand functions are unknown, the trial-and-error procedure presented by Yang et al. (Transp Res B 38:477–493, 2004) can be modified and applied in the context of PSAP-ED. Furthermore, we develop a more efficient dynamic congestion toll scheme for PSAP-ED in the absence of demand functions. The properties of PSAP-ED and the effectiveness of toll schemes are demonstrated by a numerical example.

Keywords: Traffic assignment; Day-to-day dynamic; User equilibrium; Convergence; Congestion toll (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11067-022-09565-w Abstract (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:kap:netspa:v:22:y:2022:i:4:d:10.1007_s11067-022-09565-w

Ordering information: This journal article can be ordered from
http://www.springer. ... ce/journal/11067/PS2

DOI: 10.1007/s11067-022-09565-w

Access Statistics for this article

Networks and Spatial Economics is currently edited by Terry L. Friesz

More articles in Networks and Spatial Economics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().