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A short class with Sarah and her students. The other ways are under More.
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Today, we'll establish how to find the balance number of trucks needed for one loader. Can anyone tell me why this is important?
It helps us optimize productivity and avoid unnecessary costs!
Exactly! We learned that the balance number is calculated using the truck cycle time and loader cycle time. What were the estimated values?
The truck cycle time is 39.5 seconds and the loader cycle time is 5.5 seconds.
Great! Dividing the truck cycle time by the loader cycle time gives us the balance number of trucks. Let's calculate it together.
Isn't it about 7.18 trucks?
Yes! And would we round it up or down?
I think we should round it down to 7 to save costs!
Exactly correct! Rounding down can lead to less idle time for the loader and reduced operational costs, which we will explore further.
Now, let's discuss how productivity changes with the number of trucks. If we have 5 trucks, what would the productivity be based on our average truck productivity of 12.53 cubic meters per hour?
That would give us 62.65 cubic meters per hour.
Correct! And if we increased to 6 trucks?
That would be 75.18 cubic meters per hour.
Well done! And what happens when we exceed the balance number, say we have 8 trucks?
The productivity remains capped at the loader's capacity of 90 cubic meters per hour.
Right! Therefore, while more trucks seem beneficial, they cause idle waiting, raising costs without increasing productivity. Always evaluate productivity limits!
Let's dive into some economics. How do we calculate the unit production cost for varying truck quantities?
We need to consider the total cost per hour divided by productivity per hour.
Exactly! With the loader at ₹2700 per hour and each truck at ₹1650 per hour. For 5 trucks, what is the total cost?
It would be 5 times 1650 plus the loader cost.
Let's calculate that together. Can anyone provide the total cost for 5 trucks?
That’s ₹10950.
Correct! Now dividing this by the productivity gives us our unit cost. If we have 6 trucks, the cost would be?
It would be ₹12600, giving us a unit cost of ₹167.60.
Perfect! As you can see, increasing trucks can lower unit costs until a balance is reached, beyond which costs go up, regardless of productivity. Always analyze your choices!
To wrap up, what are our main takeaways regarding truck and loader operations?
Balancing truck numbers with loader capacity is essential for cost-efficiency and productivity.
Correct! And how should we decide if we should round the balance number up or down?
Evaluate the productivity rates and costs for both options to choose the most economically viable decision.
Well done! Balancing production costs and equipment numbers leads to the best operational efficiency. Remember to continue reviewing your equipment configurations in real-world scenarios.
When using 5 trucks, productivity is limited and unit costs rise; however, increasing to 7 trucks lowers unit costs despite the balance number being 7.18.
In a scenario with 8 trucks, productivity does not increase beyond 90 cubic meters per hour due to loader limits, leading to increased costs without gains.
To find the balance, don’t be slow, count your trucks, to avoid the woe.
Imagine a farmer with a tractor and a trailer, he realizes his trailer is too small for the harvest. This makes him miss opportunities, akin to trucks exceeding the loader capacity.
B- Balance, P- Productivity, U- Unit Cost, S- Size (of equipment needs to match). (B-P-U-S)
TLP means Truck Loader Productivity, which helps remember how to manage your resources effectively.
Term
Balance Number
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Term
Loader Cycle Time
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Term
Unit Production Cost
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Term
Productivity Limit
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The optimal number of trucks required to work efficiently with one loader based on cycle times.
The total time it takes for a truck to complete one round trip from loading to unloading.
The time taken for a loader to load a truck.
The rate at which work is completed or the amount of material moved, usually measured in cubic meters per hour.
The total cost of production divided by the quantity produced, indicating the cost to produce one unit.
This section discusses determining the optimal number of trucks needed for one loader and the economic implications of varying the number of trucks.
In this section, we explore the balance point for trucks per loader, the calculation of productivity based on different truck numbers, and the impact of exceeding or not meeting the balance number on production costs. Finally, it emphasizes the importance of evaluating the economics of such decisions.
The section centers on calculating the balance number of trucks required per loader based on their respective cycle times: truck cycle time is estimated at 39.5 seconds while loader cycle time is at 5.5 seconds, leading to a calculated balance of 7.18 trucks per loader. The economic implications of operating with fewer or more trucks than this balance number are explored. For example, using fewer trucks results in productivity limitations governed by truck cycle time, while exceeding the balance number leads to productivity being capped by the loader’s capacity (90 cubic meters per hour). In the end, it is suggested to evaluate the unit production costs associated with various truck numbers and round down to avoid overspending. Key points include balancing equipment size to optimize efficiency and careful economic evaluations to keep production costs at a minimum.