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A short class with Sarah and her students. The other ways are under More.
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Today, we are going to discuss a very important aspect of equipment management: the truck and loader cycle times. Can anyone tell me why these cycle times matter?
I think they determine how efficient our operations can be.
Yes! And they help us figure out the number of trucks we need for our loader to function effectively.
Exactly! The truck cycle time is 39.5 seconds, and the loader cycle time is 5.5 seconds. Using these, we derive the balance number of trucks needed.
How do we actually calculate that?
The formula is simple: Balance Number = Truck Cycle Time / Loader Cycle Time. Anyone can calculate it?
So, it’s 39.5 / 5.5 = 7.18!
Great job! That means we round this as needed based on our economic analysis.
To summarize, we determined our balance number of trucks is around 7 to 8. Let’s remember this balance helps maintain productivity.
Now that we’ve found the balance number, what happens when we have fewer or more trucks?
If we have 5 trucks, we should calculate the productivity based on individual truck output, right?
Yes! And for 5 trucks, if each has a productivity of 12.53 cubic meters per hour, we can find total productivity!
Exactly! So, it’s 5 * 12.53 = 62.65 cubic meters per hour. And what about 6 trucks?
That would be 6 * 12.53 = 75.18 cubic meters per hour.
Right! However, once we reach the balance number of 7, let’s talk about productivity control.
After we hit that point, if we add more trucks, they just wait for the loader.
Correct! Beyond the balance number the productivity won't increase past 90 cubic meters per hour.
Let’s highlight again that managing the balance number is crucial for cost effectiveness. Understanding how productivity is influenced by truck numbers is vital!
Let’s shift our focus to the economics. How do we calculate the unit production cost?
We need to find total costs and divide by productivity, right?
Exactly! For 5 trucks, the total cost is calculated as follows...
Should we add the loader’s cost too?
Yes! The cost of the loader is 2700 per hour and each truck 1650 per hour. So, for 5 trucks it will be 5 * 1650 + 2700.
That makes it 10,950 rupees total!
Great! Now, calculate the unit cost for 5 trucks with that productivity.
It's 10,950 / 62.65 = 174.78 rupees per meter cube.
Right again! Keep doing this for the other truck counts to see how unit cost varies. We have to find the minimum unit production cost.
Remember: as we approach the balanced number our cost efficiency goes up, while surplus trucks can inflate costs without boosting productivity!
The ideal number of trucks required for a loader to maintain efficient productivity.
Cost calculation that indicates the expense incurred to produce a unit of output.
The maximum output achievable by the loader and thus limits truck productivity beyond balance.
For 7 trucks, the productivity equals 87.71 cubic meters per hour, while for 8 trucks it reaches a maximum of 90 cubic meters per hour due to loader limitations.
The total cost for 5 trucks becomes 10,950 rupees, which contrasts with 12,600 rupees for 6 trucks, showcasing the operation's cost dynamics.
To find the right balance with ease, count your trucks to avoid unease.
Imagine a yard with a loader; too many trucks wait in the cold. Balance means fewer trucks and warm loads.
Remember 'B. U. T.' - Balance, Unit Cost, Trucks to grasp the hard numbers easily.
P.T.U. = Productivity, Truck numbers, Unit Cost – key elements to enhance efficiencies.
Term
What is the balance number?
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Term
How is unit production cost calculated?
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The time taken for a truck to complete one full cycle of loading and unloading.
The time taken for a loader to load a truck.
The optimal number of trucks that efficiently serve one loader without excess waiting time.
The output produced by a system in a given timeframe, measured in cubic meters per hour.
The cost incurred to produce one unit of output, calculated as total cost divided by total productivity.
The unit cost calculation process examines how to determine the balance number of trucks required for a loader and analyzes the economic implications of varying truck numbers on productivity and unit production costs.
This section details the methodology for calculating the ideal balance number of trucks serving a loader, emphasizing the importance of the truck and loader cycle times, estimating job production, and determining unit production costs based on varying numbers of trucks. It highlights the economic impact of selecting the number of trucks and presents practical examples to illustrate the effect on productivity.
In this section, we explore the Unit Cost Calculation Process, focusing on how to determine the balance number of trucks for a loader. The key concept introduced is that the balance number of trucks per loader is derived from the relationship between the truck cycle time and the loader cycle time. Using the estimated truck cycle time of 39.5 and loader cycle time of 5.5, a balance number of 7.18 trucks is calculated, leading us to consider rounding to either 7 or 8 trucks based on productivity economics.
We examine the varying economies associated with truck numbers ranging from 5 to 9 while recognizing that productivity is governed by the truck cycle time when the number of trucks is less than or equal to the balance number. When the actual number of trucks exceeds this balance, the productivity becomes loader-controlled, indicated by productivity limits of 90 cubic meters per hour.
The section stresses the implications of the loader's capacity on overall productivity, detailing the unit cost calculation through the formula: Unit Cost = Total Cost / Productivity. A comprehensive case study demonstrates this with costs accruing with different truck counts, illustrating how the optimal case arises when the unit production cost is minimized at the balance number. Graphical representations also reinforce these economic insights, highlighting that increasing trucks beyond the balance number could yield diminishing returns in productivity while inflating operational costs.