Passenger car arrive at the stop sign at an average rate of 280 per hour. Average waiting time at the stop sign is 12 sec. If both arrivals and departure are exponentially distributed, what would be the average delay per vehicle in minutes. Assume both arrival and departure rates are exponentially distributed.

Passenger car arrive at the stop sign at an average rate of 280 per hour. Average waiting time at the stop sign is 12 sec. If both arrivals and departure are exponentially distributed, what would be the average delay per vehicle in minutes. Assume both arrival and departure rates are exponentially distributed.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter8: Intersection Control

Section: Chapter Questions

Problem 26P

See similar textbooks

Similar questions

A stop sign is installed in one of the road intersection. Rate of arrival at a stop sign is 300 veh/hr and the average waiting time at the stop sign is 10 sec. per vehicle. If both arrivals and departures are exponentially distributed, determine the average queue length (in vehicles).
The arrival rate at a parking lot is 6 veh/min. Vehicles start arriving at 6:00 P.M., and when the queue reaches 36 vehicles, service begins. The company policy states that the total vehicle delay should be equal to 500 veh-min. Assuming D/D/1 queuing and a constant service rate, determine the average delay of any vehicle.
Passenger cars arrive at the stop sign at an average rate of 280 per hour. Average departure time at the stop sign is 12 sec. If both arrivals and departure are exponentially distributed, what would be the average waiting time per vehicle in minutes?
The gate entrance to a park opens at 8:00 AM and there are 18 vehicles in the queue waiting to enter. Vehicles continue to arrive (from 8:00 AM onward) at a constant rate of 8 veh/min. The gate attendant processes vehicles at a constant rate of 1 vehicle every 6 seconds. Assume D/D/1 queuing for the vehicle arrival and departure processes at this gate. What is the average delay per vehicle (min/veh) from 8:00 AM until the queue clears? 0.9 1.1 4.5 9 Ο Ο 81
Vehicles arrive at a stop sign at the corner of Osmeña and Laurel Streets at the rate of 200 vehicles per hour. The waiting time for each vehicle at the stop sign is 12 seconds. If both arrival and departures are exponentially distributed, what is the average delay per vehicle in seconds?
At exactly 8:05AM, vehicles start to enter a single toll gate at rate of 7veh/min following deterministic distribution. Due to teller being late, the toll booth opened at 8:20AM having a service rate of 8.5veh/min. Determine the time of queue dissipation, total vehicles at queue dissipation, longest vehicle delay, longest vehicle queue, total vehicle delay, and average delay per vehicle.
There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the Length of Queue at 8:1OAM. Note: Round off your answers to the nearest whole number. Only include the numeric value of your answer without the unit (i.e. 22).
There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the time that the queue will dissipate. Answer must be in this format: *:**AM, minute time must be rounded off to the nearest whole number (i.e. 8:50AM)
There is a single gate at an entrance to a recreational park where arriving vehicles must stop to pay their tickets. The park opens at 8:00AM, at which time vehicles begin to arrive at a rate of 480 veh/hr. After 20 minutes the arrival flow rate declines to 120 veh/hr, and it continues at that level for the remainder of the day. If the service time is 15 seconds per vehicle, and assuming D/D/1 queuing, determine the Longest Vehicle Queue. Note: Round off your answers to the nearest whole number. Only include the numeric value of your answer without the unit (i.e. 22).
delay? 4. The gate entrance to a park opens at 9:00 A.M. At 9:00 A.M. there are 32 vehicles in the queue waiting to enter. Vehicles continue to arrive (from 9:00 A.M. onward) at a rate of X(t) = 4.2-0.05t (with X(t) in veh/min and t in minutes after 9:00 A.M.). The gate attendant processes vehicles at a rate of u(t) = 3 + 0.3t [with u(t) in veh/min and t in minutes after 9:00 A.M.]. Assuming D/D/1 queuing, what is the maximum queue length and total vehicle delay from 9:00 A.M. onward? A.20 mph nohor
The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are 20 and 50 vehicles/minutes, respectively. For this signal, the red time is 30 s, the effective green time is 30 s, and the cycle length is 60s. Assuming that initially there are no vehicles in the queue, the average delay per vehicle using the approach road during a cycle length (in seconds, round off to 2 decimal places) is
The Arrival time of vehicles at the entrance of a baseball stadium has a mean value of 30 veh/ hr. If it takes 1.5 min for the issuance of parking tickets to be bought for occupants of each car. a.) Determine the expected length of queue , not including the vehicle being served. b.) What will be the average waiting time of a vehicle in the queue in min.?