A Compositional Analysis of Unbalanced Usages of Multiple Left-turn Lanes
Abstract
Lane usage measures distribution of a specific traffic movement across multiple available lanes in a given time. Unbalanced lane usages decrease the capacity of subject segment. This paper took multiple left-turn lanes at signalized intersections as case study, and explored the influences of some factors on the lane usage balance. Lane usages were calculated from field collected lane volumes and the constant-sum constraint among them was explicitly considered in the statistical analysis. Classical and compositional analysis of variance was respectively conducted to identify significant influential factors. By comparing the results of compositional analysis and those of the classical one, the former ones have better interpretability. It was found that left-turn lane usages could be affected by parameter variance of geometric design or traffic control, such as length of turning curve, length of upstream segment, length of signal phase or cycle. These factors could make the lane usages achieve relative balance at different factor levels.
References
Yousif S, Al-Obaedi J, Henson R. Drivers’ lane utilization for United Kingdom motorways. Journal of Transportation Engineering. 2013;139:441-447.
Golias J, Tsamboulas R. Macrolevel estimation of highway lane usage. Journal of Transportation Engineering. 1995;121(1):40-49.
Dubedi A, Chakroborty P, Kundu D, Reddy KH. Modeling automobile drivers’ toll-lane choice behavior at a toll plaza. Journal of Transportation Engineering. 2012;138(11):1350-1357.
Bugg Z, Rouphail NM, Schroeder B. Guidance for simulation-based modeling of auxiliary through lanes. Transportation Research Record: Journal of the Transportation Research Board. 2012;2311:51-58.
Bugg Z, Rouphail NM, Schroeder B. Lane choice model for signalized intersections with an auxiliary through lane. Journal of Transportation Engineering. 2013;139(4):371-378.
Transportation Research Board. Highway capacity manual. Washington, D.C.: Transportation Research Board; 2010.
Sando T, Moses R. Influence of intersection geometrics on the operation of triple left-turn lanes. Journal of Transportation Engineering. 2009;135(5):253-259.
Sando T, Mussa R. Site characteristics affecting operation of triple left-turn lanes. Transportation Research Record: Journal of the Transportation Research Board. 2003;1852:55-62.
Glahn VP. Statistical modelling on coordinates. Paper presented at: Compositional Data Analysis Workshop—CoDaWork’03; 2003 Oct 15-19; Catalonia, Spain.
Aitchison J. The statistical analysis of compositional data. London: Chapman & Hall; 1986. (Reprinted in 2003 with additional material by The Blackburn Press).
Boogaart KGVD, Tolosana-Delgado R. Analyzing compositional data with R. Berlin Heidelberg: Springer-Verlag; 2013.
StataCorp. Stata: release 14. College Station: StataCorp; 2015.
Mateu-Figueras G, Pawlowsky-Glahn V, Egozcue J. The principle of working on coordinates. Chichester, UK: John Wiley & Sons, Ltd.; 2011.
Pawlowsky-Glahn V, Egozcue JJ, Tolosana-Delgado R. Modeling and analysis of compositional data. Chichester, UK: John Wiley & Sons, Ltd.; 2015.
Copyright (c) 2017 Li Li, Qing-Chang Lu, Yun-Tao Chang, Zhong-Ren Peng
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