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Today, we'll learn how to calculate the balance number of trucks needed for one loader. Can anyone remind us what factors we consider in this calculation?
Is it the truck cycle time and loader cycle time?
Exactly! The formula we use is truck cycle time divided by loader cycle time. We estimated the truck cycle time to be 39.5 and loader cycle time at 5.5. Who can now calculate the balance number?
It should be 39.5 divided by 5.5, which is around 7.18.
Awesome! Now, what would you consider when deciding whether to round to 7 or 8?
We should evaluate the costs and see which option is more economical.
Good point! Evaluating economics is key here. Let's move on to analyze different truck numbers.
Now, let’s consider how varying the number of trucks affects productivity. When we have 5 trucks, how does our productivity look?
I recall from the lesson that productivity for 5 trucks is 62.65 meter cube per hour.
Correct! And for 6 trucks?
That should be 75.18 meter cube per hour.
Great! Notice how productivity increases with the number of trucks until the balance point. What happens beyond that?
Beyond the balance number, productivity levels off since the loader can't handle more.
Exactly! All trucks beyond the balance number will just wait for the loader, so we should not increase our truck count unnecessarily.
Next, let's examine how to analyze the economics of our truck-loader combination. What are the costs we need to consider?
The cost of the loader and the trucks, right?
Exactly! We have the loader costing 2700 per hour and trucks costing 1650 each per hour. How would you calculate total cost for 5 trucks?
It would be 5 times 1650 plus 2700, which totals to 10,950.
Right! And now how do we find the unit production cost?
By dividing total cost by productivity.
Nice work! This is a crucial calculation to understand where to draw the line on truck numbers.
In conclusion, what have we learned about the balance number and decision-making?
It's important to keep both productivity and costs in mind when choosing the number of trucks.
And rounding down usually helps avoid overloading the loader during operations.
Exactly! Remember the balance number helps ensure efficient workflow, and understanding the economics lets us make informed choices.
Important in determining the balance number and production efficiency.
Influences how quickly a loader can fill trucks, impacting overall output.
The optimal number of trucks where productivity peaks before declining.
Essential for making decisions about the number of trucks to utilize.
When using 5 trucks, productivity is 62.65 cubic meters per hour, while with 8 trucks, it rises to 100.24 cubic meters per hour, indicating increased efficiency until the loader is overwhelmed.
Calculating total cost for 6 trucks involves finding 6 times 1650 plus 2700 for the loader, showing how costs can add up quickly.
To find the number that's just right, divide the truck's time by loader's light.
Imagine a busy site where a loader and trucks work together. Each truck helps the loader, but if too many show up, they all wait and slow down production.
T-L-P (Truck, Loader, Productivity) - Remember the order of operations in calculations.
B.T.C. (Balance Truck Capacity) - Balance your trucks with the loader's capacity!
Term
Balance Number Calculation
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Term
Impact of Trucks on Productivity
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The optimal ratio of trucks to loaders to maximize productivity without causing delays.
The total time taken for the truck to complete a round trip cycle from the loading site to the dumping site and back.
The time taken by the loader to load material onto a truck.
The measure of output produced per unit of time, often evaluated in cubic meters per hour.
The cost incurred per unit of production, calculated by dividing total costs by productivity.
This section discusses how to calculate the balance number of trucks needed for one loader, explaining the relationships between truck cycle time, loader cycle time, and production efficiency.
The balance number of trucks per loader is calculated using truck cycle time and loader cycle time. Key concepts include the impact of truck numbers on productivity, the economic implications of these decisions, and how to find the optimal number of trucks that aligns with the loader's capabilities for maximum efficiency.
In this section, the calculation of the balance number of trucks required for one loader is detailed, focusing on the formula that involves dividing truck cycle time by loader cycle time. With estimates of truck cycle and loader cycle times (39.5 and 5.5 respectively), the balance number is initially calculated at 7.18, leading to considerations of rounding up or down, followed by an economic analysis of various combinations of trucks. The interplay between the number of trucks and production costs is discussed, emphasizing that while productivity initially increases with more trucks, exceeding the balance number results in diminished returns due to loader constraints. The overall optimal mix is determined by analyzing unit production costs alongside overall productivity to find configurations yielding the lowest costs. Finally, the key takeaway is the balance point where both truck and loader productivity align maximally, with recommendations on choosing the number of trucks based on their economic efficiency.