Title
Mixed Monotonicity Of Partial First-In-First-Out Traffic Flow Models
Abstract
In vehicle traffic networks, congestion on one outgoing link of a diverging junction often impedes flow to other outgoing links, a phenomenon known as the first-in-first-out (FIFO) property. Simplified traffic models that do not account for the FIFO property result in monotone dynamics for which powerful analysis techniques exist. FIFO models are in general not monotone, but have been shown to be mixed monotone a generalization of monotonicity that enables similarly powerful analysis techniques. In this paper, we study traffic flow models for which the FIFO property is only partial, that is, flows at diverging junctions exhibit a combination of FIFO and non FIFO phenomena. We show that mixed monotonicity extends to this wider class of models and establish conditions that guarantee convergence to an equilibrium.
Year
DOI
Venue
2016
10.1109/CDC.2016.7799445
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Field
DocType
ISSN
Convergence (routing),Monotonic function,Mathematical optimization,FIFO (computing and electronics),Flow (psychology),Microscopic traffic flow model,FIFO and LIFO accounting,Mathematics,Monotone polygon
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Samuel Coogan114029.92
murat arcak21855195.31
Alex A. Kurzhanskiy3719.23