On a certain bus terminal, there are two terminals that can travels to the south. The number of passengers going to the south arriving in the terminal is 150 persons per minute, and the number of people can ride the bus is 100 per minute. Both arrival and departure rates can be assumed to be exponentially distributed. 1.) What is the probability of having 0 passengers in the queue? a. 0.182 b. 0.375 c. 0.143 d. 0.209 2.) what is the average waiting time in queue? a. 0.771 b. 0.665 c. 0.714 d. 0.637

On a certain bus terminal, there are two terminals that can travels to the south. The number of passengers going to the south arriving in the terminal is 150 persons per minute, and the number of people can ride the bus is 100 per minute. Both arrival and departure rates can be assumed to be exponentially distributed. 1.) What is the probability of having 0 passengers in the queue? a. 0.182 b. 0.375 c. 0.143 d. 0.209 2.) what is the average waiting time in queue? a. 0.771 b. 0.665 c. 0.714 d. 0.637

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Vehicles arrive at the parking booth of SM City Tarlac at a rate of 250 vehicles per hour. If the attendant can process a vehicle in 12 seconds, determine the average length of the queue if both the arrivals and departures are exponentially distributed. Note: Answer must be whole number. No need to include the unit. (i.e. 2)
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
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
10. Queuing models are derived from underlying assumptions regarding arrival patterns, departure characteristics, and queue disciplines. A. True B. False 11. If the service rate is greater than the arrival rate, the delay predicted by D/D/1 can be greater than that predicted by M/D/1: Α. True B. False 12. To apply the equations for M/M/N queues, the ratio of arrival to service rates must be less than 1.0: Α. True B. False
Three routes connect an origin and destination with performance function tj = aj + bjxj/cj (with t's in minutes and x's in thousands of vehicles per hour). If the total origin-to-destination hourly demand is 10,000 vehicles, what is a travel time in minutes (input answer in a form 00,00 minutes). Route 1 Route 2 Route 3 a 13 8 9 b 1.9 2.5 2.1 6. 8 7
Multinomial Logit Model - Sample Problem Let the number of trips from zone i to zone j is 5000, and two modes are available which has the characteristics given in below. Compute the trips made by the three modes and the fare required to travel by each mode. coefficient car bus train ti twalk tij Fij 0.03 0.04 0.06 0.1 20 18 30 6 12 5 10 3 2 Pij 0.1 Cij = a₁tij + a₂tij + asti; +astnij + a5 Fij + a60j + d
Assume student arrivals to a check-out counter with a single server are Poisson distributed and have an average rate of 7 people/min. If it takes a constant 3 seconds to serve each of them, what is the average queue length? (please answer with 3 decimal places)
10-Trucks begin to arrive at a truck weigh station (with a single scale) at 6:00 A.M. at a deterministic but time-varying rate of 2(t)= 4.3-0.22t where (t) is in veh/min and t is in minutes. The departure rate is a constant 2 veh/min (time to weigh a truck is 30 seconds). When will the queue that forms be cleared, what will be the total delay, and what will be the maximum queue length?
hree routes connect an origin and a destination with performance functions: ?1=8+0.5?1; ?2=1+2?2; and ?3=3+0.75?3; with the x’s being the traffic volume expressed in thousands of vehicles per hour and t’s being the travel time expressed in minutes. If the peak hour traffic demand is 3400 vehicles, determine user equilibrium traffic flows. [Hint: Note that one of the paths will not be used under the equilibrium condition
Problem. At the train station. The operations manager have scheduled an outbound trips required to go to its place of destination. The vehicle can accommodate 90 passengers per vehicle. And there are three vehicles per train. Fifteen train sets its trip per hour. (Analyze the problem using a Block Diagram to solve the problem. This will serve as your visual aide in analyzing the train problem.) Required: 1. Determine the number of passengers who boarded the train in an hour. (How many commuters boarded the train in an hour?) 2. How many trips were made within an Hour? 3. Determine the train interval. This will serve as its scheduled trips in an Hour. 4. If the scheduled trips / operational hour will start from 6 am, and the last scheduled trip is 10 pm. How many commuters were transported presuming the train is 100 percent fully occupied.
The total number of trips from ABC to XYC is 4500. All of the trips are made using car. The government proposed two alternatives, a train and a bus. The utility is given by the equation: U = -0.05(TT)-0.04(WT) - 0.07(W) - 0.2(F) - 0.2(P) TT in-vehicle travel time WT- walking time to terminal W-waiting time F-fare P-parking cost The travel time for private car is 20 minutes, 12 for bus and 10 for train. Walking time for different terminals for bus and train is 10 and 15 minutes respectively. The waiting time is 8 and 6 minutes for bus and train respectively, and the fare for car, bus and train is at $20, $8.5 and $7 dollars respectively. Parking cost for car is $3. What is the total number of trips by train?
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 is