a) what is the bottleneck time of the system? b) what is the bottleneck station of this work cell? c) what is the throughput time? d) if the firm operates 10 hrs per day, 5 days per week, what is the weekly capacity of this work cell?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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### Three-Station Work Cell Production Flow

The diagram below illustrates a three-station work cell used for product processing. To streamline production, Station 1 is equipped with two parallel machines to handle the initial phase before the product moves on to the subsequent stations.

#### Station Breakdown and Capacities

**Station 1: Initial Processing (Parallel Machines)**
- **Machine A**
  - **Capacity:** 20 units/hr
- **Machine B**
  - **Capacity:** 20 units/hr

Both Machine A and Machine B operate in parallel, meaning the product can be processed by either machine at this stage.

**Station 2: Secondary Processing**
- **Capacity:** 2 units/hr

The product from either Machine A or Machine B at Station 1 proceeds to Station 2.

**Station 3: Final Processing**
- **Capacity:** 3 units/hr

After processing at Station 2, the product advances to Station 3 for final processing.

#### Workflow
1. A product is introduced at Station 1.
2. It gets processed by either Machine A or Machine B (both having a capacity of 20 units per hour).
3. Processed products from Machine A or B advance to Station 2, which has a significantly lower capacity of 2 units per hour.
4. From Station 2, the product moves to Station 3, which has a capacity of 3 units per hour, before completing the process.

**Diagram Explanation:**
- The diagram displays the workflow starting from Station 1 with two machines (Machine A and Machine B) leading to a single path through Station 2 and then proceeding to Station 3.
- Blue arrows indicate the flow direction of the product through the stations.
  
This workflow ensures that the initial high capacity of Station 1 is complemented by subsequent stages of the process, even though Stations 2 and 3 have lower throughputs.
Transcribed Image Text:### Three-Station Work Cell Production Flow The diagram below illustrates a three-station work cell used for product processing. To streamline production, Station 1 is equipped with two parallel machines to handle the initial phase before the product moves on to the subsequent stations. #### Station Breakdown and Capacities **Station 1: Initial Processing (Parallel Machines)** - **Machine A** - **Capacity:** 20 units/hr - **Machine B** - **Capacity:** 20 units/hr Both Machine A and Machine B operate in parallel, meaning the product can be processed by either machine at this stage. **Station 2: Secondary Processing** - **Capacity:** 2 units/hr The product from either Machine A or Machine B at Station 1 proceeds to Station 2. **Station 3: Final Processing** - **Capacity:** 3 units/hr After processing at Station 2, the product advances to Station 3 for final processing. #### Workflow 1. A product is introduced at Station 1. 2. It gets processed by either Machine A or Machine B (both having a capacity of 20 units per hour). 3. Processed products from Machine A or B advance to Station 2, which has a significantly lower capacity of 2 units per hour. 4. From Station 2, the product moves to Station 3, which has a capacity of 3 units per hour, before completing the process. **Diagram Explanation:** - The diagram displays the workflow starting from Station 1 with two machines (Machine A and Machine B) leading to a single path through Station 2 and then proceeding to Station 3. - Blue arrows indicate the flow direction of the product through the stations. This workflow ensures that the initial high capacity of Station 1 is complemented by subsequent stages of the process, even though Stations 2 and 3 have lower throughputs.
### Manufacturing Systems and Work Cell Analysis

#### Questions for Understanding

a) **What is the bottleneck time of the system?**

b) **What is the bottleneck station of this work cell?**

c) **What is the throughput time?**

d) **If the firm operates 10 hours per day, 5 days per week, what is the weekly capacity of this work cell?**

#### Explanation

1. **Bottleneck Time**: 
   The bottleneck time in a manufacturing system is the maximum time taken by a particular operation or stage which limits the overall output capability of the system.

2. **Bottleneck Station**: 
   The bottleneck station refers to the specific station or part of the work cell which has the highest time-consuming process, thus limiting the speed of the entire production line.

3. **Throughput Time**: 
   Throughput time is the total time it takes for a job to move through the entire production process, from the beginning to the end, including processing time, queue time, move time, and any other delays.

4. **Weekly Capacity**: 
   To calculate the weekly capacity of a work cell, consider the total operational hours per week and the cycle time of the process. Multiply the daily hours by the number of working days in a week.

These questions aim to help students analyze and understand the critical factors limiting production efficiency and ways to calculate the effective capacity of a manufacturing system.
Transcribed Image Text:### Manufacturing Systems and Work Cell Analysis #### Questions for Understanding a) **What is the bottleneck time of the system?** b) **What is the bottleneck station of this work cell?** c) **What is the throughput time?** d) **If the firm operates 10 hours per day, 5 days per week, what is the weekly capacity of this work cell?** #### Explanation 1. **Bottleneck Time**: The bottleneck time in a manufacturing system is the maximum time taken by a particular operation or stage which limits the overall output capability of the system. 2. **Bottleneck Station**: The bottleneck station refers to the specific station or part of the work cell which has the highest time-consuming process, thus limiting the speed of the entire production line. 3. **Throughput Time**: Throughput time is the total time it takes for a job to move through the entire production process, from the beginning to the end, including processing time, queue time, move time, and any other delays. 4. **Weekly Capacity**: To calculate the weekly capacity of a work cell, consider the total operational hours per week and the cycle time of the process. Multiply the daily hours by the number of working days in a week. These questions aim to help students analyze and understand the critical factors limiting production efficiency and ways to calculate the effective capacity of a manufacturing system.
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