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This is a problem related to a production system where you are asked to determine several parameters such as:

1. **Utilization of each Workstation (WS)**.
2. **Maximum throughput of the system (S.M.)**.
3. **Average Work in Progress (WIP)**.

The diagram depicts a series of machines \( M1, M2, M3 \) connected by buffers \( B1, B2, B3 \), and you are provided with some data including:
- The arrival rate (\( \lambda = 5 \) pieces per hour).
- Two rework percentages (\( \text{Retrab}_{M2-M1} = 35\% \) and \( \text{Retrab}_{M3-M2} = 40\% \)).

### Step-by-step process:

1. **Utilization of each Workstation (WS):**
   The utilization \( U \) of each machine is typically calculated using the formula:

   \[
   U = \frac{\lambda \cdot t_{cycle}}{1 - Retrab}
   \]

   where \( \lambda \) is the arrival rate, \( t_{cycle} \) is the cycle time of each machine, and \( Retrab \) is the rework or rejection percentage.

2. **Maximum throughput of the system (S.M.):**
   The maximum throughput is the maximum rate at which the system can produce without any downtime, and it is usually affected by the bottleneck station (the one with the highest utilization).

3. **Average WIP (Work in Progress):**
   WIP is often calculated using Little's Law:

   \[
   WIP = \lambda \cdot T_{sys}
   \]

   where \( T_{sys} \) is the total time a product spends in the system.

Let me clarify and solve these parameters for you based on the data provided. Could you provide the cycle times (\( t_{cycle} \)) for each of the machines, or any other missing data?

Determine the utilization of each workstation, the maximum throughput of the system, and the average WIP.

Learn how to calculate the utilization of each workstation, the maximum throughput of a production system, and the average work in progress (WIP). Using Little's Law and the bottleneck principle, this problem is ideal for college-level industrial engineering students.

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