Question
9. SJN Gantt Chart with Completion Times
Answers
GPT-4o mini
To create a Gantt chart for the Shortest Job Next (SJN) scheduling algorithm, we first need a set of processes along with their burst times (execution times). After determining the order in which the jobs will be executed according to SJN, we can compute the completion times and visualize the Gantt chart.
### Example Process Information
Let's assume we have the following processes:
| Process | Burst Time |
|---------|------------|
| P1 | 4 |
| P2 | 2 |
| P3 | 1 |
| P4 | 3 |
### Step 1: Order the Processes
In the SJN scheduling algorithm, processes are executed in the order of their burst time, from shortest to longest. For our example:
1. P3 (1)
2. P2 (2)
3. P4 (3)
4. P1 (4)
### Step 2: Calculate Completion Times
Now, let's calculate the completion times for each process:
- **P3**: Starts at time 0, completes at time 1 (0 + 1)
- **P2**: Starts at time 1, completes at time 3 (1 + 2)
- **P4**: Starts at time 3, completes at time 6 (3 + 3)
- **P1**: Starts at time 6, completes at time 10 (6 + 4)
### Completion Times Table
| Process | Burst Time | Completion Time |
|---------|------------|------------------|
| P3 | 1 | 1 |
| P2 | 2 | 3 |
| P4 | 3 | 6 |
| P1 | 4 | 10 |
### Step 3: Create the Gantt Chart
The Gantt chart represents the execution timeline of the processes. Based on our calculation, it would look like this:
```
| P3 | P2 | P4 | P1 |
0 1 3 6 10
```
### Summary
In this case, the final Gantt chart representation shows the sequence of processes as executed by SJN, along with their respective completion times. The completion times provide a quick reference for understanding when each process finishes its execution.
### Example Process Information
Let's assume we have the following processes:
| Process | Burst Time |
|---------|------------|
| P1 | 4 |
| P2 | 2 |
| P3 | 1 |
| P4 | 3 |
### Step 1: Order the Processes
In the SJN scheduling algorithm, processes are executed in the order of their burst time, from shortest to longest. For our example:
1. P3 (1)
2. P2 (2)
3. P4 (3)
4. P1 (4)
### Step 2: Calculate Completion Times
Now, let's calculate the completion times for each process:
- **P3**: Starts at time 0, completes at time 1 (0 + 1)
- **P2**: Starts at time 1, completes at time 3 (1 + 2)
- **P4**: Starts at time 3, completes at time 6 (3 + 3)
- **P1**: Starts at time 6, completes at time 10 (6 + 4)
### Completion Times Table
| Process | Burst Time | Completion Time |
|---------|------------|------------------|
| P3 | 1 | 1 |
| P2 | 2 | 3 |
| P4 | 3 | 6 |
| P1 | 4 | 10 |
### Step 3: Create the Gantt Chart
The Gantt chart represents the execution timeline of the processes. Based on our calculation, it would look like this:
```
| P3 | P2 | P4 | P1 |
0 1 3 6 10
```
### Summary
In this case, the final Gantt chart representation shows the sequence of processes as executed by SJN, along with their respective completion times. The completion times provide a quick reference for understanding when each process finishes its execution.