Loading the lesson
Loading the lesson
Search AllRounder.ai
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Learn it your way
A short class with Sarah and her students. The other ways are under More.
Sign up free to listen. Transcripts are free to read.
Today, we're going to explore how to determine the balance number of trucks needed for a loader. Can anyone tell me what we might need to calculate this?
Is it related to the cycle times of the trucks and loader?
Exactly! The balance number of trucks per loader is calculated by dividing the truck cycle time by the loader cycle time. If we know that the truck cycle time is 39.5 minutes and the loader cycle time is 5.5 minutes, how do we find the balance number?
Would that be 39.5 divided by 5.5?
Correct! That gives us about 7.18 trucks. Now, we often round this number. Why do you think rounding is important?
To simplify the number and make decisions easier?
Yes, but we must consider the economic impact of rounding up or down as well. Let’s dive deeper into how the productivity changes with different numbers of trucks.
When we have fewer than or equal to the balance number of trucks, productivity is determined by the truck cycle time. What happens if we add more trucks?
Does productivity still increase?
Not necessarily! Beyond the balance number, productivity is limited to the loader's capability. Can anyone tell me what that means?
The trucks will just be waiting if they exceed the loader's capacity, right?
Exactly! Trucks will just wait for the loader, leading to increased costs. Let's do a quick calculation. If we had 8 trucks, and the loader's maximum productivity is 90-meter cubes per hour, how would that affect our overall productivity?
It would still be 90-meter cubes, right?
Correct! And that shows why exceeding the balance number could lead to waste.
Now let's talk about economic decisions. How do we estimate unit production costs with different truck combinations?
We calculate the total cost per hour and divide by productivity?
Exactly! For 5 trucks at 1650 rupees per hour and 1 loader at 2700 rupees per hour, can anyone provide the total cost?
That would be 5 multiplied by 1650 plus 2700, which gives us 10950 rupees.
Great! Now, if we assess the unit cost of production, how would that look if the productivity is 62.65?
It would be 10950 divided by 62.65, right?
Yes! This brings up another point: As we increase the number of trucks, unit costs change dramatically. Why do you think this is important to understand?
To ensure we don't overspend on unnecessary trucks that wouldn't help productivity?
Exactly! It’s vital to know the economics to optimally balance the operation.
Today, we covered the balance number of trucks and loaders, productivity dynamics, and economic implications. Can someone summarize the main takeaway?
The balance number controls productivity, and exceeding it just wastes resources.
Excellent! And as for economics, what should you always do?
Analyze both scenarios before making a decision?
Yes! The next lecture will discuss piles and piling driving methods. Are there any final questions?
The ideal ratio of trucks to loaders that maximizes efficiency.
Time needed for a truck's complete delivery process.
Time taken by the loader to load a truck.
Analyzing the cost implications of choosing the right number of trucks.
How truck numbers can affect overall output.
If the loader can handle 90 cubic meters and there are 7 trucks each producing 12.53 cubic meters per hour, total productivity is 87.71 cubic meters per hour when truck numbers match the balance number.
When increasing truck numbers to 9, though the discrepancy seems beneficial, productivity remains capped at 90 cubic meters, leading to inefficiencies.
For loaders run well with trucks that flow, keep the balance and watch productivity grow!
Imagine a busy construction site where trucks are waiting idly while the loader works hard. One day, a wise manager noticed that reducing the number of trucks made operations faster and cheaper. From that day on, he always checked the balance number before choosing how many trucks to use.
Remember: B.L.E.A.C.H for balance number - Balance, Loader time, Economics, Assess productivity, Check costs, Higher or lower number.
BNE - Balance Number Equals optimal operations.
Term
What does the loader's cycle time affect?
Click to flip
Term
What happens if we exceed the balance number?
Click to flip
Term
How do you calculate unit production costs?
Click to flip
The optimal number of trucks required per loader that maximizes productivity without causing excess waiting time.
The total time taken for a truck to make a complete round trip from the loader to the dump site and back.
The time taken by a loader to load a truck with material.
The rate at which output is produced, often measured in cubic meters per hour.
The total cost divided by productivity, representing the cost incurred to produce one unit of output.
This section discusses the calculation of the balance number of trucks required for a loader and its implications on productivity and economics.
The section presents the concept of the balance number of trucks per loader, detailing how to calculate it based on truck cycle time and loader cycle time. It emphasizes the importance of understanding how productivity varies with different numbers of trucks and the economic impact of selecting the optimal number of trucks.
In Section 4.3, the discussion centers around finding the balance number of trucks needed to efficiently operate with one loader. The formula for determining the balance number is introduced as the truck cycle time divided by the loader cycle time. The section highlights that if the total number of trucks exceeds the balance number, productivity is constrained by the loader's capacity.
Key calculations are presented, using values for truck cycle time (39.5) and loader cycle time (5.5), leading to a balance number of 7.18. The implications of rounding this number to either 7 or 8 trucks are explored, with a focus on the economics of each scenario. The section provides clarity on how reduced productivity over the balance number can lead to increased unit production costs.
Additionally, a series of productivity assessments based on varying numbers of trucks is examined, illustrating how unit production cost is affected when the number of trucks is less than, equal to, or greater than the balance number. Ultimately, decisions should be based on a combination of economical analysis and the operational efficiency of the loader and trucks, with a preference for rounding the balance number down to ensure optimal performance.