A copy machine is available 24 hours a day. On a typical day, the machine produces 94 jobs. Each job takes about 5 minutes on the machine, 3 minutes of which is processing time and 2 minute is setup time (logging in, defining the job). About 19 percent of the jobs need to be reworked, in which case the setup time and the processing time have to be repeated. The remainder of the time, the equipment is idle.

What is the OEE of the equipment?
Note: Round your percentage answer to 1 decimal place.


To calculate the Overall Equipment Effectiveness (OEE) of the machine, we need to consider three key factors:

1. **Availability** - the percentage of time the machine is available for production.
2. **Performance** - how efficiently the machine is operating during available time.
3. **Quality** - the percentage of good jobs produced without rework.

### Step 1: **Calculate Availability**
The machine is available 24 hours a day, which is equivalent to:
\[
\text{Available Time} = 24 \, \text{hours} \times 60 \, \text{minutes/hour} = 1440 \, \text{minutes/day}
\]
Each job takes 5 minutes (3 minutes for processing and 2 minutes for setup). There are 94 jobs per day.

Thus, the total operating time is:
\[
\text{Operating Time} = 94 \, \text{jobs} \times 5 \, \text{minutes/job} = 470 \, \text{minutes/day}
\]

So, the **Availability** is:
\[
\text{Availability} = \frac{\text{Operating Time}}{\text{Available Time}} \times 100 = \frac{470}{1440} \times 100 \approx 32.6\%
\]

### Step 2: **Calculate Performance**
Performance is calculated as the ratio of actual job processing time (excluding setup and rework) to the total time used.

Each job's processing time is 3 minutes. There are 94 jobs per day, and the performance loss occurs during the setup time (2 minutes per job).

Since 19% of the jobs require rework, they will take an additional setup and processing time. The time for rework is:
\[
\text{Rework Time} = 0.19 \times 94 \, \text{jobs} \times 5 \, \text{minutes/job} = 89.3 \, \text{minutes/day}
\]
Thus, the effective performance time is:
\[
\text{Effective Performance Time} = (94 \, \text{jobs} \times 3 \, \text{minutes/job}) + 89.3 \, \text{minutes (rework)}
= 282 + 89.3 = 371.3 \, \text{minutes/day}
\]

Now, the **Performance** is:
\[
\text{Performance} = \frac{\text{Total Processing Time}}{\text{Operating Time}} \times 100 = \frac{282}{470} \times 100 \approx 60.0\%
\]

### Step 3: **Calculate Quality**
Quality refers to the percentage of jobs produced without needing rework. Given that 19% of jobs need rework, the quality rate is:
\[
\text{Quality} = (1 - 0.19) \times 100 = 81.0\%
\]

### Step 4: **Calculate OEE**
Now that we have the three components, we can calculate the Overall Equipment Effectiveness:
\[
\text{OEE} = \frac{\text{Availability} \times \text{Performance} \times \text{Quality}}{10000}
\]
Substituting the values:
\[
\text{OEE} = \frac{32.6 \times 60.0 \times 81.0}{10000} \approx 15.8\%
\]

Thus, the **OEE of the machine is approximately 15.8%**.

Would you like more details or have any questions?

---

Here are 5 related questions you might find interesting:
1. How would reducing the rework percentage affect the OEE?
2. What happens to OEE if the machine operates faster but with the same rework rate?
3. How does increasing setup efficiency improve OEE?
4. What role does machine maintenance play in improving availability?
5. How can downtime be minimized to improve the overall equipment effectiveness?

**Tip**: Always focus on reducing rework and downtime, as they are the key drivers of a low OEE percentage.

A copy machine is available 24 hours a day. On a typical day, the machine produces 94 jobs. Each job takes about 5 minutes on the machine, 3 minutes of which is processing time and 2 minutes is setup time (logging in, defining the job). About 19 percent of the jobs need to be reworked, in which case the setup time and the processing time have to be repeated. The remainder of the time, the equipment is idle. What is the OEE of the equipment? Note: Round your percentage answer to 1 decimal place.

Learn how to calculate the Overall Equipment Effectiveness (OEE) for a copy machine that operates 24/7, produces 94 jobs daily, and experiences rework on 19% of jobs. This solution walks through availability, performance, and quality calculations, leading to an OEE of 15.8%.

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