Homework-Assignment2

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.

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

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)

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

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)…

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…

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

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

Using the data on the table, determine the following using transit rule.

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

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.

QUESTION 6 There is no service flow rate for level of service F. O True O False

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

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

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

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

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.

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.

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…

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

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

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

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

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.

Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 8:00 A.M., the average arrival rate be 240 veh/h and Poisson distributed (exponential times between arrivals) over the entire period from park opening time (8:00 A.M.) until closing at dusk. If the time required to distribute the brochure is 10 seconds, the distribution time varies depending on whether park patrons have questions relating to park operating policies, assuming M/M/1 queuing. a.) Compute the average length of queue (express in veh), b.) Average waiting time in the queue (express in min/veh), c.) and average time spent in the system(express in min/veh)