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1 The University of Utah Department of Civil and Environmental Engineering CVEEN 5560/6560 Transportation Planning Individual Homework Assignment 2 Statistics and R practice Due Monday, February 5
th
, 2024 Problem 1: Statistics Review [18 points] Below is the dwell time and total boarding and alighting (ridership) data collected for 35M Bus Rapid Transit (BRT) westbound in May 2014. The data is aggregated for the entire month at each station. Station Average Dwell Time per person Total Boarding and Alighting Dwell Time (sec) 3500 S 8010 W 13.2 191 2516.7 3500 S 7250 W 6.8 281 1922.9 3500 S 6450 W 8.3 119 991.2 3500 S 5616 W 8.2 412 3393.4 3500 S 4820 W 10.7 165 1766.8 3500 S 3980 W 6.6 281 1847.2 3500 S 3575 W 5.2 594 3090.9 3590 S 2820 W 6.4 858 5452.0 3500 S 2040 W 7.2 130 939.3 3500 S 1720 W 8.0 695 5554.4 3300 S 1226 W 9.0 144 1300.1 3300 S 940 W 6.7 397 2644.2 3300 S 210 W 105.1 2137 224612.2 Question 1: Please calculate the sample mean, variance, and standard deviation for average dwell time per person, total boarding and alighting, and dwell time. Please write out the equation and how you come to the final numbers. You will only receive partial credits if only the final result is presented (and calculated) using Excel or R. Question 2: Please calculate the correlation between Dwell Time and Total Boarding and Alighting; and correlation between Average Dwell Time per person and total boarding and alighting. What conclusion can you draw from the result?
2 Question #1:
3 Question #2 Problem 2: Preliminary Data Analysis for Household Travel Survey [12 points] Download the Household_Data collected for Utah household travel survey in 2012. Check the DataDictionary file to make sure you understand what each column
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Related Questions
Given the following data:
The route will use 40-seat standard buses
The door opening and closing time is 4 seconds
The boarding time is 3.5 seconds and 4.0 seconds for standing passengers
The alighting time is 2 seconds
Use the attached table to calculate the average dwell time of the bus at each of the 10 stations
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In a parking lot, the average arrival is 10 veh/hr while the averageservice time is 12 veh/hr, determine the following: Average time between departure Average time spent by the vehicles in the system Average waiting time of queue Average queue length of vehicles Probability of an empty slot Probability from 1 to 6 vehicles given a parking slot
(Answers in veh/min)
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5-Vehicles start arriving for a booth in a parking lot to receive free brochures at 8:45 A.M at a uniform
deterministic rate of 4 per minute and continue to arrive at this rate until 9:15 A.M. From 9:15 to
10:00 A.M. the arrival rate becomes 8 per minute. The brochures are distributed at a uniform
deterministic rate of 11 cars per minute over the 45-minute time period only (from 9:15 A.M. until
10:00 A.M). Determine total delay, maximum queue length, and longest vehicle delay.
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Answer questions 13, 14, 15 and 16 using the following paragraph:
Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of the carpark at 9:00
AM. The arrival rate is constant at 240 veh/hr. However, between 9:00 and 9:40 AM, the parking ticket machine at the
entrance works slowly due to a malfunction, and consequently, each vehicle spends 30 seconds to take the parking
ticket. After 9:40 AM, the problem is solved and vehicles spend only 10 seconds at the gate to take the ticket.
What is the longest vehicle queue?
Select one:
a.70
b.64
c.80
d.20
OO
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It was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model:
Q = 500 +5.0(class) +0.05(students)
where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model:
Um
= Bm
0.50C
0.02T
where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of ẞm are:
Auto: 4.50
Unitrans: 3.0
Bicycle: 2.50
Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip.
(a) Compute the…
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It was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak
hour is given by the following trip generation model: Q = 500 + 5.0(class) + 0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = βm − 0.50C − 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of βm are: Auto : 4.50 U nitrans : 3.0 Bicycle : 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip.
(a)…
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Using the data on the table, determine the following using transit rule.
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H.W:
Traffic volume data has been collected for 10 min time intervals as shown below.
Find the total hourly volume, flow rate and PHF.
Time
7:30-7:40
7:40-7:50
7:50-8:00
8:00-8:10
8:10-8:20
8:20-8:30
Volume
250
280
300
200
150
130
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EXAMPLE
The accompanying data (Table Q2) shows spot speeds collected at Jalan Duta,
Kuala Lumpur. Based on statistícal method, determine the values of the
following:
i) Arithmetic mean speed
ii) Mode speed
iii) Median speed
iv) Standard deviation
Speed Class
(km/hr)
10-14.9
15 19.9
20 - 24.9
25-29.9
30 -34.9
35-39.9
No of
vehicles
40 - 44.9
45 - 49.9
50 -54.9
55 - 59.9
60 – 64.9
2654 7109564
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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 rounded
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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.
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QUESTION 6
There is no service flow rate for level of service F.
O True
O False
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1. Estimate the queue dissipation time, maximum queue length, and total delay, given:
Time
Arrival Rate (veh/hour/lane)
Departure Rate (veh/hour/lane)
3:30 4:00 PM
4:00 8:00 PM
3:00 - 3:30 PM
1200
1800
1200
1200
900
1800
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Traffic volume data has been collected for 10 min time intervals as shown below, Find the total hourly volume, flow rate and PHF. Time 7:30-7:40 7:40-7:50 7:50-8:00 8:00-8:10 8:10-8:20 8:20-8:30 Volume 250 280 300 200 150 130
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Shockwave theory: Calculate the maximum queue length (Q in the below figure) given the current condition
Arrival volume: 450 vphpl, speed 40 MPH
Jam density (waiting): 130 veh /mile/lane
Red time: 30 sec; Green time: 70 sec
Saturation rate (capacity volume): 1500 vehicles per hour per lane. Please use this diagram to calculate.
Maximum Q
Xm
Area C
Maximu
X,
SW
SW
SW
Area B
Area A
'sWD
, 'm(u)
to(u)
Distance
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Design Hourly Volume (DHV) is the projected hourly volume that is used for design. This volume is taken as a percentage of
choose one of the following
the average annual traffic
the average weekley traffic
the average daily traffic
none of the given choices
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Using the CPM , draw the CPM diagram and find the critical path analysis.
Activity Preceeding Activity Time (WEEKS)
A NONE 4
B NONE 6
C A, B 7
D B 8
E B 5
F C 5
G D 7
H D, E 8
I F,G, H 4
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The results of the travel time study are summarized in the following table. For this data:
a. Tabulate and graphically present travel time and delay results.
b. Show the average travel speed and average running speed for each section.
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A certain road section has 3 lanes per direction. The result of a survey that was conducted to get the Peak
Hour Volume from 5pm - 8pm, is given below. Determine the level of Service (LOS) using the tables below:
5:00-5:15
5:15-5:30
5:30-5:45
5:45 - 6:00
6:00 - 6:15
6:15-6:30
6:30- 6:45
6:45-7:00
7:00-7:15
7:15-7:30
7:30 - 7:45
7:45-8:00
8:00-8:15
8:15-8:30
8:30- 8:45
8:45-9:00
PCEF
Types of Highway
2-lane
Multi-lane (per lane)
Level of Service
Cars
15
95
69
95
10
89
47
56
68
12
100
15
F
Source: DPWH Highway Planning Manual
19
69
36
69
Cars
1
0.21 -0.50
0.51 -0.70
0.71 0.85
0.86 - 1.00
greater than 1.0
Traffic Volume
Trucks
77
Possible capacity (pcu/hr)
2000
2000
Table S: LOS for road section evaluation
Volume / Capacity Ratio
less than 0.20
18
25
86
15
2
91
26
59
2
57
92
40
14
15
79
Trucks
2.5
Bus
16
77
58
55
3
49
38
85
24
79
38
59
Description
free flow traffic
free flow traffic
moderate traffic
56
33
83
73
Bus
1.5
*PCEF = Passenger Car Equivalent Factor; this will convert your…
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Given the following spot speed data:
Speed Group
Observed vehicles
45-49
5
50-53
16
54-57
29
58-61
36
62-65
41
66-69
21
70-73
4
A. Calculate the 15th, 50th, and 85th percentile.
B. Recommend appropriate speed limits with justification.
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TRAFFIC ENGINEERING
Quiz(1)
Month
No. of
Total
Total
Total
Weekdays Days in
Monthly Weekday
Volume
Volume
In Month
Month
(vehs)
425,000
410,000
385,000
400,000
450,000
500,000
(vehs)
208,000
220,000
185,000
200,000
2 15,000
230,000
260,000
260,000
205,000
190,000
(days)
(days)
January
February
22
31
20
28
March
22
31
April
Мay
22
30
21
31
June
22
30
July
Augusts
September 22
October
23
31
580,000
570,000
490,000
420,000
4 15,000
400,000
21
31
30
22
31
November 21
December | 22
30
200,000
2 10,000
31
Find:
AW T, ADT, AADT and AAWT.
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A three-zone city has the following characteristics:
Zone 1
Zone 2
Zone 3
Initial travel time factors are
Production
Travel time (min)
Fij
500
600
200
Distances (time):
1-2: 10 min
2-3: 15 min
3-1: 20 min
Distribute the trips using the gravity model.
10
80
Attraction
15
60
400
800
100
20
40
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The table below displays the data obtained from a
one-hour in-out car parking survey of 100 bays.
The initial count is 10 cars. The total average
occupancy is about
% .
Time (min.)
0-10
10-20
20-30
30-40
40-50
50-60
In
Out
3
4
7
6
1
2
2
3
1
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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
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The table below shows the number of vehicles observed on a corridor over each 15-minutes during the peak hour.
Peak hour (7--8am)
7:00-7:15am
7:15-7:30am
7:30-7:45am
7:45-8:00am
# of vehicle
200
120
153
183
Calculate the peak hour factor and report your answer correct to two digits after the decimal.
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SEE MORE QUESTIONS
Recommended textbooks for you
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning
Related Questions
- Given the following data: The route will use 40-seat standard buses The door opening and closing time is 4 seconds The boarding time is 3.5 seconds and 4.0 seconds for standing passengers The alighting time is 2 seconds Use the attached table to calculate the average dwell time of the bus at each of the 10 stationsarrow_forwardIn a parking lot, the average arrival is 10 veh/hr while the averageservice time is 12 veh/hr, determine the following: Average time between departure Average time spent by the vehicles in the system Average waiting time of queue Average queue length of vehicles Probability of an empty slot Probability from 1 to 6 vehicles given a parking slot (Answers in veh/min)arrow_forward5-Vehicles start arriving for a booth in a parking lot to receive free brochures at 8:45 A.M at a uniform deterministic rate of 4 per minute and continue to arrive at this rate until 9:15 A.M. From 9:15 to 10:00 A.M. the arrival rate becomes 8 per minute. The brochures are distributed at a uniform deterministic rate of 11 cars per minute over the 45-minute time period only (from 9:15 A.M. until 10:00 A.M). Determine total delay, maximum queue length, and longest vehicle delay.arrow_forward
- Answer questions 13, 14, 15 and 16 using the following paragraph: Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of the carpark at 9:00 AM. The arrival rate is constant at 240 veh/hr. However, between 9:00 and 9:40 AM, the parking ticket machine at the entrance works slowly due to a malfunction, and consequently, each vehicle spends 30 seconds to take the parking ticket. After 9:40 AM, the problem is solved and vehicles spend only 10 seconds at the gate to take the ticket. What is the longest vehicle queue? Select one: a.70 b.64 c.80 d.20 OOarrow_forwardIt was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model: Q = 500 +5.0(class) +0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = Bm 0.50C 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of ẞm are: Auto: 4.50 Unitrans: 3.0 Bicycle: 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip. (a) Compute the…arrow_forwardIt was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model: Q = 500 + 5.0(class) + 0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = βm − 0.50C − 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of βm are: Auto : 4.50 U nitrans : 3.0 Bicycle : 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip. (a)…arrow_forward
- Using the data on the table, determine the following using transit rule.arrow_forwardH.W: Traffic volume data has been collected for 10 min time intervals as shown below. Find the total hourly volume, flow rate and PHF. Time 7:30-7:40 7:40-7:50 7:50-8:00 8:00-8:10 8:10-8:20 8:20-8:30 Volume 250 280 300 200 150 130arrow_forwardEXAMPLE The accompanying data (Table Q2) shows spot speeds collected at Jalan Duta, Kuala Lumpur. Based on statistícal method, determine the values of the following: i) Arithmetic mean speed ii) Mode speed iii) Median speed iv) Standard deviation Speed Class (km/hr) 10-14.9 15 19.9 20 - 24.9 25-29.9 30 -34.9 35-39.9 No of vehicles 40 - 44.9 45 - 49.9 50 -54.9 55 - 59.9 60 – 64.9 2654 7109564arrow_forward
- 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 roundedarrow_forward1. 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.arrow_forwardQUESTION 6 There is no service flow rate for level of service F. O True O Falsearrow_forward
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ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning