Question 2: Speed observations from a radar speed meter have been taken, giving the speeds of the subsidiary streams composing the flow along with the volume of traffic of each subsidiary stream. The readings are as under: Calculate: (i) Time-mean speed (ii)Space-mean speed (ii) Variance about space mean speed. IS pinn 50 pans 8s pese on spad Speed Volume of subsidiary mnad el spued (km hr) stream (Vehicle hour) 2-5 6-9 10-13 14-17 7. 18-21 20 z-5 22-25 44 26-29 80 30-33 82 34-37 79 38-41 49 42-45 36 46-49 26 50-53 9. 54-57 10 58-61
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- At a specified point on a highway, vehicles are known to arrive according to a Poissonprocess. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 ofthese time intervals. It is noted that no cars arrive in 18 of these 120 intervals. a) Approximate the number of these 120 intervals in which exactly three cars arrive. b) Estimate the Percentage of time headways that will be 10 seconds or greater andthose that will be less than 6 seconds.Consider the following plot of cumulative arriving and departing vehicles at a freeway bottleneck location: Vehicles 20,000 15,000 10,000 5,000 0 0 30 60 90 120 150 180 210 240 270 300 330 360 Time (mins) Arrivals (vehs) Departures (vehs) From this plot, determine the following: A. What is the capacity of the bottleneck location? 9000 whole number, i.e. X000.) B. What is the maximum size of the queue that develops? 3250 whole number, i.e. X000.) C. What is the longest wait time that any vehicle experiences during the breakdown? to the nearest whole number, i.e. XX.) (Hint: Provide the answer as a numerical number only in units of vehicles per hour and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of vehicles and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of minutes and rounded5-4.. The following traffic count data were taken from a per- manent detector location on a major state highway. 1. 2. 3. 4. 5. Month No. of Total Total Total Weekdays Days in Monthly Weekday Volume in Month Month Volume (days) (days) (vehs) (vehs) 200,000 210,000 215,000 205,000 195,000 193,000 180,000 175,000 189,000 170,000 171,000 Jan 22 31 Feb 20 28 185,000 180,000: 172,000 168,000 160,000 150,000 -175,000 178,000 182,000 176,000 Mar 22 31 30 Apr May Jun 22 21 31 22 30 Jul 23 31 21 31 Aug Sep Oct 22 30 198,000 205,000 200,000 22 31 Nov 21 30 Dec 22 31 From this data, determine (a) the AADT, (b) the ADT for each month, (c) the AAWT, and (d) the AWT for each month. From this information, what can be dis- cerned about the character of the facility and the demand it serves?
- QUESTION 6 There is no service flow rate for level of service F. O True O FalseThe daily counts of the current traffic volume for a rural highway for one week of May 2000 are as shown in the following table: Sat. Sun. Mon. Tues. Wed. Thur. Fri. Day Daily volume 12000 12500 10500 11500 9500 9000 8500 The traffic is composed of 70% passenger car, 20% bus, 10% truck. The percent of future traffic to current traffic is predicted to be 180% up to May 2020. Determine the required number of lanes for this highway if the lane capacity is 1300 pc/hr.A mode choice logit model is to be developed based on the following information. A surveyof travellers in an area with bus service found the following data:Model Parameter Auto BusX1, waiting time (min.) 0 10X2, travel time (min.) 20 35X3, parking time (min.) 5 0X4, out-of-pocket cost (cents) 225 100Ak, calibration constant _0.33 _0.27The following utility functions were calibrated based on an observed mode split of 84.9%private auto use and 15.1% bus use.Utility function: Uk = Ak -- 0.10 X1 - 0.13 X2 - 0.12 X3 - 0.0045 X4After implementing service improvements to the buses, the mode split changed to 81.6%private auto use and 18.4% bus use. Determine a value for the calibration constant for the busmode that reflects this shift in mode split.
- Given the following transportation network and the production/attraction data in each zone. 4 min 1 3 min 2 min 3 min 5 7 min 4 min 4 min Production/Attraction Table 3 249.4 180.0 163.5 None of the above 2 3 min Zone 1 2 3 4 5 Production 600 475 1000 500 300 Attraction 400 200 100 420 0 The number of trips originating from Zon2 3 and ending in Zone 5 isThe zone production and attraction values were estimated as follows, where the values are unbalanced. Zone A B C D Production Attraction 370 100 250 350 450 260 350 300 The balanced value of # of trips attracted to Zone B equals (Report your answer correct to one digit after the decimal)1. Planners have estimated the following models for the AM Peak Hour T₁ = 1.5 H₁ T; - (1.5 Euj1) + (1 Euthy) + (0.5 Eretj) Where: T - Person Trips Originating in Zone i T₁ = Person Trips Destined for Zone j H Esti Eath Eret Variable 10000 8000 3000 2000 Data Dakotopolis 15000 10000 5000 1500 New Fargo A. What are the number of person trips originating in and destined for each city? B. Normalize the number of person trips so that the number of person trip origins = the number of person trip destinations. Assume the model for person trip origins is more accurate.
- Given that the value of a ægment of a roadway is 720 veh/nr where arrival of vehicles is a poisson distribution. Calculate the folbwing: 4.1. No. of headways if it is less than 5 econds. 4.2. NO. of headways if it is more than 5 seconds. 4.3. Plot the probability curves of the a conditions statcd aboveQ1. The following is the number of trips and the number of households by the number of persons per household and the level of household income in a given zone. Persons/hh 1 2 3 4 5 or above Low Persons/household 1 2 3 4 5 or more No. of hh Trip No. No. of hh 93 222 149 72 341 138 59 417 125 120 1010 109 13 107 37 Income Medium The forecasted number of households in the study area for a target year is shown below. Low 120 100 90 150 30 Trip No. 616 853 1025 1186 457 High No. of hh Trip No. 96 360 27 205 33 381 40 471 33 423 Income Medium 280 220 190 180 60 High 130 40 50 70 60 (a) Calculate the forecasted number of trips for each combination of the number of persons per household and the level of household income. (b) Alternatively, trip rate can be estimated using the following linear regression equation. Trip rate=0.46+ 1.96 × NPERSON + 1.66 x HINCOME Where NPERSON = no. of persons per household (= 5 for 5 or more persons in household); HINCOME = level of household income (= 0 for low…Given the following transportation network and the production/attraction data in each zone. 3 min 3 3 min 4 min 3 min 4 min 2 min 4 min 2 7 min Production/Attraction Table Zone 1 2 3 4 5 Production 600 1000 500 Attraction 300 200 350 400 The number of trips that originates from Zone 3 and ends in Zone 1 is 13 88 29 None of the above