a) Using the FCFS (first come, first served) decision rule for sequencing the jobs, the order is (assume that jobs came in the order in which they are listed in the table): Sequence 1 2 3 4 Sequence 1 2 Job The average tardiness (job lateness) for the sequence developed using the FCFS rule=days (round your response to two decimal places). The average completion time (flow time) for the sequence developed using the FCFS rule=days (round your response to two decimal places) The percentage utilization for the sequence developed using the FCFS rule=% (enter your response as a percentage rounded to two decimal places). 3 V b) Using the SPT (shortest processing time) decision rule for sequencing the jobs, the order is (to resolve a tie, use the order in which the jobs were received): 4 ▼ Job ▼ V ▼ T The average tardiness (job lateness) for the sequence developed using the SPT rule = days (round your response to two decimal places). An Alabama lumberyard has four jobs on order, as shown in the following table. Today is day 205 on the yard's schedule. In what sequence would the jobs be ranked according to the decision rules on the left Job A B с D Due Date 208 210 209 212 Duration (days) 8 5 All dates are specified as manufacturing planning calendar days. Assume that all jobs arrive on day 205. Compute all times based on initiating wo on day 205.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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a) Using the FCFS​ (first come, first​ served) decision rule for sequencing the​ jobs, the order is​ (assume that jobs came in the order in which they are listed in the​ table):
Sequence
Job
1
▼ 
D
A
C
B
 
Part 2
2
▼ 
B
C
D
A
 
Part 3
3
▼ 
A
D
C
B
 
Part 4
4
▼ 
A
C
B
D
 
Part 5
The average tardiness​ (job lateness) for the sequence developed using the FCFS rule​ = 
  
enter your response here days ​(round your response to two decimal​ places).
Part 6
The average completion time​ (flow time) for the sequence developed using the FCFS rule​ = 
  
days ​(round your response to two decimal​ places).

The percentage utilization for the sequence developed using the FCFS rule​ = 
  
% ​(enter your response as a percentage rounded to two decimal​ places).
Part 8
​b) Using the SPT​ (shortest processing​ time) decision rule for sequencing the​ jobs, the order is​ (to resolve a​ tie, use the order in which the jobs were​ received):
Sequence
Job
1
▼ 
A
D
B
C
 

2
▼ 
D
B
A
C
 

3
▼ 
C
A
B
D
 

4
▼ 
A
B
C
D
 

The average tardiness​ (job lateness) for the sequence developed using the SPT rule​ = 
  
days ​(round your response to two decimal​ places).

The average completion time​ (flow time) for the sequence developed using the SPT rule​ = 
  
days ​(round your response to two decimal​ places).

The percentage utilization for the sequence developed using the SPT rule​ = 
  
% ​(enter your response as a percentage rounded to two decimal​ places).
Part 15
​c) Using the LPT​ (longest processing​ time) decision rule for sequencing the​ jobs, the order is​ (to resolve a​ tie, use the order in which the jobs were​ received):
Sequence
Job
1
▼ 
B
D
C
A
 
Part 16
2
▼ 
D
C
A
B
 
Part 17
3
▼ 
C
D
A
B
 

4
▼ 
B
C
A
D
 

The average tardiness​ (job lateness) for the sequence developed using the LPT rule​ = 
  
 days ​(round your response to two decimal​ places).
Part 20
The average completion time​ (flow time) for the sequence developed using the LPT rule​ = 
  
days ​(round your response to two decimal​ places).
Part 21
The percentage utilization for the sequence developed using the LPT rule​ = 
 
enter your response here​% ​(enter your response as a percentage rounded to two decimal​ places).
Part 22
​d) Using the EDD​ (earliest due​ date) decision rule for sequencing the​ jobs, the order is​ (to resolve a​ tie, use the order in which the jobs were​ received):
Sequence
Job
1
▼ 
D
B
C
A
 

2
▼ 
A
C
D
B
 

3
▼ 
B
C
A
D
 

4
▼ 
C
A
B
D
 
The average tardiness​ (job lateness) for the sequence developed using the EDD rule​ = 
  
days ​(round your response to two decimal​ places).
Part 27
The average completion time​ (flow time) for the sequence developed using the EDD rule​ = 
  
days ​(round your response to two decimal​ places).
Part 28
The percentage utilization for the sequence developed using the EDD rule​ = 
  
% ​(enter your response as a percentage rounded to two decimal​ places).
Part 29
​e) Using the Critical Ratio​ (CR) scheduling rule for sequencing the​ jobs, the order​ is:
Sequence
Job
1
▼ 
C
B
D
A
 

2
▼ 
D
C
B
A
 

3
▼ 
A
D
B
C
 

4
▼ 
C
A
B
D
 
Part 33
The average tardiness​ (job lateness) for the sequence developed using the CR rule​ = 
  days ​(round your response to two decimal​ places).
Part 34
The average completion time​ (flow time) for the sequence developed using the CR rule​ = 
  
enter your response here days ​(round your response to two decimal​ places).
Part 35
The percentage utilization for the sequence developed using the CR rule​ = 
  
​% ​(enter your response as a percentage rounded to two decimal​ places).
.
.
.

Part 1
An Alabama lumberyard has four jobs on​ order, as shown in the following table. Today is day  on the​ yard's schedule. In what sequence would the jobs be ranked according to the decision rules on the​ left:
                                                                                   
Job
Due Date
Duration​ (days)
 
All dates are specified as manufacturing planning calendar days.  Assume that all jobs arrive on day . Compute all times based on initiating work on day 205 

 

**Job Sequencing with FCFS, SPT, and LPT Rules**

An Alabama lumberyard has four jobs on order, as shown in the following table. Today is day 205 on the yard's schedule. In what sequence would the jobs be ranked according to the decision rules on the left?

| Job | Due Date | Duration (days) |
|-----|----------|-----------------|
| A   | 208      | 4               |
| B   | 210      | 8               |
| C   | 209      | 5               |
| D   | 212      | 6               |

**Assumptions:**
- All dates are specified as manufacturing planning calendar days.
- Assume that all jobs arrive on day 205.
- Compute all times based on initiating work on day 205.

### a) Using the FCFS (first come, first served) decision rule:
Assume that jobs came in the order in which they are listed in the table. 

**Sequence:**

1. [Drop-down menu for selecting job]
2. [Drop-down menu for selecting job]
3. [Drop-down menu for selecting job]
4. [Drop-down menu for selecting job]

**Metrics:**

- The average tardiness (job lateness) for the sequence developed using the FCFS rule = [Input box for days] days (round your response to two decimal places).
- The average completion time (flow time) for the sequence developed using the FCFS rule = [Input box for days] days (round your response to two decimal places).
- The percentage utilization for the sequence developed using the FCFS rule = [Input box for percentage] % (enter your response as a percentage rounded to two decimal places).

### b) Using the SPT (shortest processing time) decision rule:
To resolve a tie, use the order in which the jobs were received.

**Sequence:**

1. [Drop-down menu for selecting job]
2. [Drop-down menu for selecting job]
3. [Drop-down menu for selecting job]
4. [Drop-down menu for selecting job]

**Metrics:**

- The average tardiness (job lateness) for the sequence developed using the SPT rule = [Input box for days] days (round your response to two decimal places).
- The average completion time (flow time) for the sequence developed using the SPT rule = [Input box for days] days (round
Transcribed Image Text:**Job Sequencing with FCFS, SPT, and LPT Rules** An Alabama lumberyard has four jobs on order, as shown in the following table. Today is day 205 on the yard's schedule. In what sequence would the jobs be ranked according to the decision rules on the left? | Job | Due Date | Duration (days) | |-----|----------|-----------------| | A | 208 | 4 | | B | 210 | 8 | | C | 209 | 5 | | D | 212 | 6 | **Assumptions:** - All dates are specified as manufacturing planning calendar days. - Assume that all jobs arrive on day 205. - Compute all times based on initiating work on day 205. ### a) Using the FCFS (first come, first served) decision rule: Assume that jobs came in the order in which they are listed in the table. **Sequence:** 1. [Drop-down menu for selecting job] 2. [Drop-down menu for selecting job] 3. [Drop-down menu for selecting job] 4. [Drop-down menu for selecting job] **Metrics:** - The average tardiness (job lateness) for the sequence developed using the FCFS rule = [Input box for days] days (round your response to two decimal places). - The average completion time (flow time) for the sequence developed using the FCFS rule = [Input box for days] days (round your response to two decimal places). - The percentage utilization for the sequence developed using the FCFS rule = [Input box for percentage] % (enter your response as a percentage rounded to two decimal places). ### b) Using the SPT (shortest processing time) decision rule: To resolve a tie, use the order in which the jobs were received. **Sequence:** 1. [Drop-down menu for selecting job] 2. [Drop-down menu for selecting job] 3. [Drop-down menu for selecting job] 4. [Drop-down menu for selecting job] **Metrics:** - The average tardiness (job lateness) for the sequence developed using the SPT rule = [Input box for days] days (round your response to two decimal places). - The average completion time (flow time) for the sequence developed using the SPT rule = [Input box for days] days (round
### Job Scheduling and Performance Metrics

### Longest Processing Time (LPT) Rule

The following metrics are used to evaluate job performance using the Longest Processing Time (LPT) rule:

- **Average Tardiness (Job Lateness)**:
  - The formula to calculate average tardiness for the sequence developed using the LPT rule is _____ days. 
  - (Round your response to two decimal places).

- **Average Completion Time (Flow Time)**:
  - The formula to calculate average completion time for the sequence developed using the LPT rule is _____ days. 
  - (Round your response to two decimal places).

- **Percentage Utilization**:
  - The formula to calculate percentage utilization for the sequence developed using the LPT rule is _____ %.
  - (Enter your response as a percentage rounded to two decimal places).

### Earliest Due Date (EDD) Rule

Using the EDD (earliest due date) decision rule for sequencing the jobs, the order is (to resolve a tie, use the order in which the jobs were received):

| Sequence | Job |
|----------|-----|
|          |     |
|          |     |
|          |     |
|          |     |

The following metrics are evaluated for the EDD rule:

- **Average Tardiness (Job Lateness)**:
  - The formula to calculate average tardiness for the sequence developed using the EDD rule is _____ days.
  - (Round your response to two decimal places).

- **Average Completion Time (Flow Time)**:
  - The formula to calculate average completion time for the sequence developed using the EDD rule is _____ days.
  - (Round your response to two decimal places).

- **Percentage Utilization**:
  - The formula to calculate percentage utilization for the sequence developed using the EDD rule is _____ %.
  - (Enter your response as a percentage rounded to two decimal places).

### Critical Ratio (CR) Rule

Using the Critical Ratio (CR) scheduling rule for sequencing the jobs, the order is:

| Sequence | Job |
|----------|-----|
|          |     |
|          |     |
|          |     |
|          |     |

The following metrics are evaluated for the CR rule:

- **Average Tardiness (Job Lateness)**:
  - The formula to calculate average tardiness for the sequence developed using the CR rule is _____ days.
  - (Round your response to two decimal places).
Transcribed Image Text:### Job Scheduling and Performance Metrics ### Longest Processing Time (LPT) Rule The following metrics are used to evaluate job performance using the Longest Processing Time (LPT) rule: - **Average Tardiness (Job Lateness)**: - The formula to calculate average tardiness for the sequence developed using the LPT rule is _____ days. - (Round your response to two decimal places). - **Average Completion Time (Flow Time)**: - The formula to calculate average completion time for the sequence developed using the LPT rule is _____ days. - (Round your response to two decimal places). - **Percentage Utilization**: - The formula to calculate percentage utilization for the sequence developed using the LPT rule is _____ %. - (Enter your response as a percentage rounded to two decimal places). ### Earliest Due Date (EDD) Rule Using the EDD (earliest due date) decision rule for sequencing the jobs, the order is (to resolve a tie, use the order in which the jobs were received): | Sequence | Job | |----------|-----| | | | | | | | | | | | | The following metrics are evaluated for the EDD rule: - **Average Tardiness (Job Lateness)**: - The formula to calculate average tardiness for the sequence developed using the EDD rule is _____ days. - (Round your response to two decimal places). - **Average Completion Time (Flow Time)**: - The formula to calculate average completion time for the sequence developed using the EDD rule is _____ days. - (Round your response to two decimal places). - **Percentage Utilization**: - The formula to calculate percentage utilization for the sequence developed using the EDD rule is _____ %. - (Enter your response as a percentage rounded to two decimal places). ### Critical Ratio (CR) Rule Using the Critical Ratio (CR) scheduling rule for sequencing the jobs, the order is: | Sequence | Job | |----------|-----| | | | | | | | | | | | | The following metrics are evaluated for the CR rule: - **Average Tardiness (Job Lateness)**: - The formula to calculate average tardiness for the sequence developed using the CR rule is _____ days. - (Round your response to two decimal places).
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