38.9. Problems

The parking survey data collected from a parking lot by license plate method is shown in table below. Find the average occupancy, average turnover, parking load, parking capacity and efficiency of parking lot.

This chunk introduces the context of the problem in the section. The objective is to analyze the data collected from a parking survey. This involves using actual survey data to find several important metrics about the parking lot's usage, specifically average occupancy, turnover rate, parking load, parking capacity, and overall efficiency. The purpose of calculating these metrics is to understand how effectively the parking space is being used.

Imagine you're the manager of a busy restaurant that has a parking lot. To make sure you can accommodate all your customers without long wait times, you decide to analyze your parking data to find out how often spaces are occupied, how long cars stay, and whether your lot is big enough for your needs. This analysis is crucial for running a successful business, just like analyzing parking data is vital for transportation engineers.

Bay Time 0-15 15-30 30-45 45-60 1 1501 1501 4021 - 2 1255 1255 1255 1255 3 3215 3215 3215 3215 4 - - 3100 3100 5 1623 1623 1623 - 6 2204 2204 - -

In this chunk, we are presented with a table that reflects the number of vehicles parked over specified time intervals across various parking bays. Each row represents a parking bay, and each column indicates the number of vehicles counted in those 15-minute intervals. Understanding this data is crucial because it helps us analyze how full each parking bay was over time, which is the foundation for calculating the other metrics.

Think of this table like a diary where you jot down the number of visitors entering your local ice cream shop every 15 minutes. By looking at this diary at the end of the day, you can determine the busiest times and plan better for the next day, similar to how this parking data helps manage space efficiently.

Accumulation 5 5 5 3 Occupancy 0.83 0.83 0.83 0.5

Average occupancy provides insight into how many parking spots are filled at any given time. The accumulation number shows how many vehicles were parked during the specified intervals, and the occupancy numbers provide a percentage of the total capacity that was utilized. The formula involves summing up the total vehicles across all intervals and dividing it by the total number of bays to get a percentage.

Imagine you have a classroom with 20 desks, and each day you count how many are occupied. If 15 desks are filled one day and 10 another, you can calculate the average occupancy over a week, helping you understand if you need more or fewer desks for your students.

Average turn over = Sum of turn over = 7 = 1.17 Total number of bays 6

Average turnover indicates how many different vehicles used the parking spaces during the survey period. To find this, you sum the number of vehicles that parked and divide by the number of bays. This metric helps determine how effectively the parking spaces are being utilized over time—higher turnover suggests better usage.

Consider a movie theater where each seat can be sold multiple times in a day for different showings. If you measure how often each seat is occupied throughout the day, you gain insight into the theater's efficiency, much like measuring the turnover of cars in a parking lot helps inform management decisions.

Parking capacity = number of bays × number of hours = 6 × 1 = 6 vehicle hours Parking load = total number of vehicles accumulated at the end of each time interval × time = (5+5+5+3) × 15 × 60 = 4.5 vehicle hours

Parking capacity is a straightforward calculation that looks at the total number of available parking bays multiplied by the time period under consideration. On the other hand, parking load assesses how much usage those spaces are experiencing, looking at vehicles that have been parked over the time intervals accounted for. This gives a picture of the actual number of hours vehicles are parked, which can be critical for planning future parking needs.

Think of your garage capacity as how many bicycles you can fit. If you have space for 6 bikes and each bike stays for an hour, your capacity is 6 bike-hours. If a total of 10 bikes came and parked for varying times over the hour, calculating how full your garage got can help you understand when it's often full and if you need more space.

Efficiency = Parking load / Total number of bays = 4.5/6 = 75%.

The efficiency calculation shows how well the parking space is being utilized. It compares the cumulative time vehicles are parked against the total available time across all bays. A higher efficiency indicates that the parking facility is being used effectively and can assist with planning and operational strategies.

Imagine running a bakery and tracking how many loaves are sold versus how many were baked. If you bake 100 loaves but only sell 75, your efficiency is 75%. Understanding this helps you optimize baking schedules and inventory, just like understanding parking efficiency helps optimize parking space usage.

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