4. Assume Assure a linear relationship between speed and Jensity on a length of a highway having the free Flow speed of 80 km/hr and the jam density 72 vehicles/KM. (a) Determine the speed at maximum flow and the Maximum flow expected on this high way? (b) If the actual flow is 75% of the capacity, what are the possible flow speeds? For the Flow spee speeds at (b) determine; (c) The Time mean speed and the Space mean speed? of (d) What will be the space headway for each speed?
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I posted this question yesterday, but the solution feels wrong. In the solution, K and Kj were taken as the same value, is it correct? Apologies for resubmitting, there used to be a follow-back question option, but I can't see it.
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- What would be the capacity of the highway if the jam density 200 veh/km, and having a flow rate of 500 veh/hr whebn density is 155 veh/km?Given a Greenshields linear density-speed relationship of us = 71.2 - 0.584k a. derive the flow-speed relationship equation b. Derive the flow-density relationship equation c. Find the mean free flow speed d. Find the jam density e.Find the capacityTraffic 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)
- 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)Based on a Greenshields' model, with a jam density of 120 vpmpl and a free flow speed of 60 mph, estimate the flow (vphpl) if the density is 40 vpmpl.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 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…
- What 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/kmA 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.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
- The following equation describes flow-density relationship: q=46k−0.30 k^2 where q is in vehicles per hour. Use Greenshield’s model. a.Calculate flow at capacity. b.Calculate the jam density. c.Calculate the shockwavespeed from initialdensity of 76 vpk to final density of 129.2 vpk.A traffic engineer has set up a one-mile study segment of a corridor. He measures the speed of 10 vehicles. Calculate the space mean speed and time mean speed of these vehicles. If the space mean speed occurs at an optimal flow with a density of 75 veh/mi, what is the capacity of this roadway?Q3b. The 15km Atta Mills road connecting Old Barrier to Kokrobite operates with a capacity of 2250 pcu/hr and can be traversed within 15 minutes under free flow conditions. If a flow of 3100 pcu/hr is assigned to the road based on the capacity-restrained approach, what would be the resultant travel time after the traffic assignment proce ss.