The following table shows orders to be processed at a machine shop as of 8:00 a.m. Monday. The jobs have different operations they must go through. Processing times are in days. Jobs are listed in order of arrival. Job Processing Time (Days) Due Date (Days) Remaining Number of Operations A 8 20 2 B 10 18 4 C 5 25 5 D 11 17 3 E 9 35 4 Click here for the Excel Data File a. Determine the processing sequence at the first work center using each of these rules: (1) First come, first served, (2) Slack per operation. (Hint: In case of a tie choose the jobs in alphabetical order.) b. Compute the effectiveness of each rule using each of these measures: (1) average completion time, (2) average number of jobs at the work center. (Round your answers to 2 decimal places.)

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The following table shows orders to be processed at a machine shop as of 8:00 a.m. Monday. The jobs have different operations they must go through. Processing times are in days. Jobs are listed in order of arrival. Job Processing Time (Days) Due Date (Days) Remaining Number of Operations A 8 20 2 B 10 18 4 C 5 25 5 D 11 17 3 E 9 35 4 Click here for the Excel Data File a. Determine the processing sequence at the first work center using each of these rules: (1) First come, first served, (2) Slack per operation. (Hint: In case of a tie choose the jobs in alphabetical order.) b. Compute the effectiveness of each rule using each of these measures: (1) average completion time, (2) average number of jobs at the work center. (Round your answers to 2 decimal places.)
## Job Processing Optimization in Manufacturing

**c-1. Sequence Determination:**

To optimize the processing time for jobs in both the grinding and deburring departments, the following sequence has been determined:

- **Sequence**: C-B-A-F-E-D-G

This sequence minimizes the total time required for processing jobs across both departments.

**c-2. Grinding Department Flow Time:**

The total flow time calculated for the grinding department, when following the above sequence, is:

- **Grinding's Job Flow Time**: 64 hours

**c-3. Makespan Calculation:**

The makespan, which represents the total time needed to complete all jobs in both the grinding and deburring departments using the sequence from c-1, is:

- **Makespan**: 64 hours

These calculations ensure efficient workflow and reduce idle time in the production process.
Transcribed Image Text:## Job Processing Optimization in Manufacturing **c-1. Sequence Determination:** To optimize the processing time for jobs in both the grinding and deburring departments, the following sequence has been determined: - **Sequence**: C-B-A-F-E-D-G This sequence minimizes the total time required for processing jobs across both departments. **c-2. Grinding Department Flow Time:** The total flow time calculated for the grinding department, when following the above sequence, is: - **Grinding's Job Flow Time**: 64 hours **c-3. Makespan Calculation:** The makespan, which represents the total time needed to complete all jobs in both the grinding and deburring departments using the sequence from c-1, is: - **Makespan**: 64 hours These calculations ensure efficient workflow and reduce idle time in the production process.
### Processing Time Table

| Job | Grinding (hours) | Deburring (hours) |
|-----|------------------|-------------------|
| A   | 3                | 6                 |
| B   | 2                | 4                 |
| C   | 1                | 5                 |
| D   | 4                | 3                 |
| E   | 9                | 4                 |
| F   | 8                | 7                 |
| G   | 6                | 2                 |

**Link:** [Click here for the Excel Data File](#)

---

**a. Task:** Prepare a schedule using SPT (Shortest Processing Time) for the grinding department.

**Answer:**  
The sequence is **C-B-A-D-G-F-E**.

---

**b-1. Question:** What is the total flow time in the grinding department for the SPT sequence?
Transcribed Image Text:### Processing Time Table | Job | Grinding (hours) | Deburring (hours) | |-----|------------------|-------------------| | A | 3 | 6 | | B | 2 | 4 | | C | 1 | 5 | | D | 4 | 3 | | E | 9 | 4 | | F | 8 | 7 | | G | 6 | 2 | **Link:** [Click here for the Excel Data File](#) --- **a. Task:** Prepare a schedule using SPT (Shortest Processing Time) for the grinding department. **Answer:** The sequence is **C-B-A-D-G-F-E**. --- **b-1. Question:** What is the total flow time in the grinding department for the SPT sequence?
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