Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 6, Problem 21P
To determine
Number of vehicles that will be in the platoon behind the truck by the time the truck leaves the highway.
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Traffic flow on a four-lane (one direction) freeway can be described by the Greenshields model. Two lanes of the four lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take 2 hr. The mean free speed of the highway is 60 mi/h and the jam density is 140 veh/mi/ln. If it is estimated that the demand flow on the highway during the emergency repairs is 80% of the capacity, using the deterministic approach, determine: (a) The maximum queue length that will be formed (b) The total delay(c) The number of vehicles that will be affected by the incident(d) The average individual delay
Based on a linear speed-density model, with a jam density of 120 vpmpl and a free flow speed of 60 mph, estimate the density (vpmpl) if the speed is 50 mph.
Using Greenshields' model, for a highway with a mean free flow speed of 76 mi/h and jam density of 128 veh/mi, determine the density (in veh/mi) when the mean speed is observed to be 58 mi/h:
Chapter 6 Solutions
Traffic and Highway Engineering
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
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- Traffic flow on a three-lane (one direction) freeway can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take 2 hours. It is estimated that the capacity at the work zone will be reduced by 25 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 60 mi/h and the jam density is 140 veh/mi/ln. If it is estimated that the demand flow on the highway during the emergency repairs is 85 percent of the capacity, using the deterministic approach, determine the following. the maximum queue length (in veh) that will be formed the total delay (in h) the number of vehicles that will be affected by the incident the average individual delay (in min)arrow_forwardFrom an aerial photograph, one observes that on a level section of a (multilane) highway, 25% of the vehicles are trucks, 75% are cars, and there are 50 vehicles per mile of highway. The trucks travel at 40 mph and the cars at 60 mph. This highway also has a section with a steep grade on which the speed of the trucks drops to 25 mph and the speed of the cars to 55 mph. No vehicles enter or exit the subject highway sections (except at the ends). The flows on these highway sections are stationary, which means that the flows on the level section are equal to those on the grade. Determine (a) the flow of vehicles on the level section; (b) the density of vehicles on the grade; (c) the percent of trucks on the grade as seen from an aerial photo; (d) the percent of trucks as seen by a stationary observer on the grade.arrow_forwardWhat would be the capacity of the highway if the jam density 200 veh/km, and having a flow rate of 500 veh/hr when density is 155 veh/kmarrow_forward
- A traffic engineer at the City of Wahoo Land wants to determine a proper storage capacity for an on-ramp. It was found that a mainline (single lane) and on-ramp traffic arrivals follow Poisson distribution with a mean of 800 passenger vehicles per hour and 150 passenger vehicles per hour, respectively. Assume critical gap is 4.5 seconds for merging vehicles. Determine appropriate storage capacity as a number of vehicles that would prevent any spill over at 95% confidence interval.arrow_forwardGiven a freeway flow study at a certain highway. The speed- density relationship is described in thegiven equation or relationship:V s = 60- 0.48kDetermine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highwayarrow_forwardGiven a freeway flow study at a certain highway. The speed- density relationship is described in the givenequation or relationship: V s = 58- 0.40k Determine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highwayarrow_forward
- due to closure of certain lanes of a highway, the capacity is reduced to 75% of its normal capacity. If in normal capacity the jam density of the highway is 103 veh/km, and the free flow speed is 58 kph, determine what would be the maximum flow if the flow is limited to 85% of its current state.arrow_forwardPlease show me the process and steps. A) Traffic on a highway is said to follow the Greenshields model with jam density of 196 pc/mi/ln. The measured capacity is 3250 pc/h/ln. What is the free flow speed?arrow_forwardIf the mean free speed and jam density for a highway were 60 mph and 160 vehicles per mile respectively, what would be the expected volume if the space mean speed of the traffic was 45 mph? At what other speed might this volume occurs?arrow_forward
- Consider the problem of traffic flow on a three-lane (one direction) freeway which can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take several hours. It is estimated that the capacity at the work zone will be reduced by 29 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 55 mi/h and the jam density is 130 veh/mi/ln. It is estimated that the demand flow on the highway during the emergency repairs is 84 percent of the capacity. Using the deterministic approach, determine the following for the expected repair periods of 1 h, 1.5 h, 2.5 h, 2.75 h, and 3 h. (a) the maximum queue length (in veh) that will be formed (b) the total delay (in h) (c) the number of vehicles that will be affected by the incident (d) the average individual delay (in min)arrow_forwardConsider the problem of traffic flow on a three-lane (one direction) freeway which can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take several hours. It is estimated that the capacity at the work zone will be reduced by 28 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 60 mi/h and the jam density is 140 veh/mi/ln. It is estimated that the demand flow on the highway during the emergency repairs is 86 percent of the capacity. Using the deterministic approach, determine the following for the expected repair periods of 1 h,1.5 h,2.5 h,2.75 h, and 3 h. (a) the maximum queue length (in veh) that will be formed (b) the total delay (in h) (c) the number of vehicles that will be affected by the incident (d) the average individual delay (in min) (e) Plot a graph of average individual delay…arrow_forwardSUBJECT: PRINCIPLES OF TRANSPORTATION ENGINEERING PROBLEM: The data shown below were obtained on a highway determine the value of "a" and "b" given the formula for Greenshield Model. Also determine the maximum capacity and the jam densityarrow_forward
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