Morning Commute in a Single-Entry Traffic Corridor with No Late Arrivals

Elijah DePalma and Richard Arnott

University of California Transportation Center, Working Papers from University of California Transportation Center

Abstract: This paper analyzes a model of early morning traffic congestion, that is a special case of the model considered in Newell (1988). A fixed number of identical vehicles travel along a single-lane road of constant width from a common origin to a common destination, with LWR flow congestion and Greenshields’ Relation. Vehicles have a common work start time, late arrivals are not permitted, and trip cost is linear in travel time and time early. The paper explores traffic dynamics for the Social Optimum, in which total trip cost is minimized, and for the User Optimum, in which no vehicle’s trip cost can be reduced by altering its departure time. Analytical and, when possible, closed-form solutions are presented, along with numerical examples.

Keywords: Physical Sciences and Mathematics; corridor; morning commute; social optimum; user optimum (search for similar items in EconPapers)
Date: 2011-02-04
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Citations: View citations in EconPapers (2)

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