# HW6 - The University of Texas at Austin Chandra Bhat...

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Unformatted text preview: The University of Texas at Austin ' Chandra Bhat Department of Civil, Architectural & Environmental Engineering Fall 2016 CE 321 Transportation Systems Homework Assignment N0. 6 Trafﬁc Stream Models and Applications Date distributed: November 8, 2016 Due date: November 17, 2016 A speed-density (u-k) relationship has been calibrated based on data collected on a two—lane freeway facility. The estimated linear regression equation is: \1. 2. u = 65 — 0.528125 x k , where u is in mph and k is in vehs. per mile per lane. Compute the free—ﬂow speed, the jam density and the capacity of the facility. Let the demand pattern on the facility during the morning be as shown below: 5 AM - 6 AM 2500 6 AM - 8 AM 5000 Beyond 8 AM 3000 Draw a "ﬂow—time” diagram and a "cumulative number of vehicles~time” diagram to represent the demand and capacity patterns. Using these diagrams, compute the following parameters: a) At what time will a queUe begin to form, b) At what time will the queue completely dissipate, c) What is the maximum vehicle queue (in number of vehicles queued) and at what time will it occur, d) What is the maximum vehicle delay, e) What is the total vehicle hours of delay, f) Howmany vehicles incur a delay, and g) What is the average vehicle delay. Consider the case when everything is the same as in part 2, except that there is an incident which occurs on a section of the freeway at 6 AM and lasts for one hour. The incident blocks ' one lane of the ﬁeeway. Draw a "ﬂow-time" diagram and a "cumulative number of vehicles- time” diagram and calculate the same parameters as in part 2. ...
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