A Stochastic Model for the Temporal Distribution of Traffic Demand---The Peak Hour Problem

Attahiru Sule Alfa and Do Le Minh
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Attahiru Sule Alfa: University of New South Wales, Australia
Do Le Minh: New South Wales Institute of Technology, Australia

Transportation Science, 1979, vol. 13, issue 4, 315-324

Abstract: One of the suggested techniques for reducing peak period traffic congestion is to flex work hours. If one is to predict the effect this work hour change shall have on the congestion, it is essential to understand how the peak traffic demand develops. However, there seem to be no existing theories explaining this process. In this paper, therefore, a mechanism by which commuters select their departure time from home is suggested and, based on this, a method is proposed for predicting the temporal distribution of traffic demand during the peak period. This should lead to the understanding of the effects of flexed work hours on the congestion. The model developed in this paper is based on the assumption that the commuters wish to arrive at work at a particular time without being delayed for too long in the system. A commuter therefore attaches cost to delays and also to early and late arrivals at work. This model proposes an iterative procedure by which to obtain the distribution of a commuter’s departure time from home, assuming that he tries to minimize the total cost.

Date: 1979
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