Traffic and Highway Engineering - With Mindtap
5th Edition
ISBN: 9781305360990
Author: Garber
Publisher: CENGAGE L
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Chapter 4, Problem 21P
To determine
The space-hours of demand at the parking lot
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Data collected at a parking lot indicate that a total of 300 cars park between 8 a.m. and 5 p.m. 5% of these cars are parked for an average of 2 hr, 20% for an average of 3 hr, 10% for an average of 4 hr, and the remaining cars are parked for an average of 9 hr. (a) Determine the space-hours of demand at the lot. (b) If 10% of the parking bays are vacant on average (between 8 a.m. and 5 p.m.) at the parking lot, determine the number of parking bays in the parking lot. Assume an efficiency factor of 0.90. (c) The owner of the parking lot is planning an expansion of her lot to provide adequate demand for the following 10 years. If she has estimated that parking demand for all categories will increase by 3% a year, determine the number of additional parking bays that will be required.
PARKING STUDIES
PROB 1. Data collected at a parking lot indicate that a total of
300 cars park between 8 a.m. and 6 p.m. 10% of these cars
are parked for an average of 2 hr, 30% for an average of 4 hr,
and the remaining cars are parked for an average of 10 hr.
Determine the space-hours of demand at the lot
PROB 2. If 10% of the parking bays are vacant on average
(between 8 a.m. and 6 p.m.) at the parking lot of PROB1,
determine the number of parking bays in the parking lot.
Assume an efficiency factor of 0.85
Vehicles begin to arrive to a parking lot at 7:00 AM at a rate of 2000 veh/hour, but the
demand reduces to 1000 veh/hour at 7:30 AM and continues at that rate. The ticketing booth
to enter the parking lot can only serve the vehicles at 1000 veh/hour until 7:15 AM, after
which the service rate increases to 2000 veh/hour. Assuming D/D/1 queuing, draw a
queuing diagram for this situation. Find: a) the time at which the queue clears, b) the total
delay, c) the longest queue length, and d) wait time of the 500th and 2000th vehicles to arrive
to the parking lot (assuming FIFO conditions)?
Chapter 4 Solutions
Traffic and Highway Engineering - With Mindtap
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- Data collected at a parking lot indicate that a total of 300 cars park between 8 a.m. and 6 p.m. 10% of these cars are parked for an average of 2 hr, 30% for an average of 4 hr, and the remaining cars are parked for an average of 10 hr. 1. Determine the space-hours of demand at the lot.arrow_forwardThe 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.arrow_forwardVehicles 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. In how many minutes does the queue dissipate? Select one: a. 60 b. 70 c. 75 d. 80arrow_forward
- Vehicles begin arriving at Allen fieldhouse at 6:30 PM, at a constant rate of 4 per minute. One gate opens at 7:00 PM and processes cars at a rate of 5 vehicles per minute. At 7:10 PM, a second gate opens, doubling the rate at which cars are processed. What is the average vehicle delay? Assume D/D/1 queuing.arrow_forwardAnswer 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_forwardThe 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. If company policy is that total vehicle delay should be equal to 540 veh-min, what is the service rate? (Assume D/ D/ 1 queuing and a constant service rate.)arrow_forward
- 5. The metering scheme of a ramp meter installed along the Pampanga Subic Expressway allows one vehicle to pass the signal. The cumulative demand for the ramp for the morning peak and ramp meter cycle for each interval are shown in the table. Determine the following: Time Period ib min Cumulative Meter Cycle volume Volume 6:30 - 6:45 75 75 6 6:45 - 7:00 100 175 10 7:00 - 7:15 125 300 12 7:15-7:30 110 410 12 7:30 - 7:45 80 490 10 7:45 - 8:00 65 555arrow_forwardVehicles arrive at a recreational park booth at a uniform deterministic rate of 4 veh/min. If uniform deterministic processing of vehicles (collecting fees) begins 30 minutes after the first arrival and the total delay is 3600 veh-min, how long after the arrival of the first vehicle will it take the queue to dissipate?arrow_forwardThere 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).arrow_forward
- 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).arrow_forwardThere 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)arrow_forward9- Vehicles arrive at a recreational park booth at a uniform deterministic rate of 4veh/min. If uniform deterministic processing of vehicles (collecting of fees) begins 30 minutes after the first arrival and the total delay is 3600 veh-min, how long after the arrival of the first vehicle will it take for the queue to be cleared?arrow_forward
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