Question 1
A machine needs to process 4 jobs. Processing times:
- Job A: 88 minutes
- Job E: 35 minutes
- Job D: 36 minutes
- Job B: 49 minutes
The machine breaks down at 66 minutes and takes 39 minutes to repair.
Jobs are scheduled using Shortest Processing Time (SPT) first rule.
What is the total completion time (makespan) after handling the breakdown?
Step-by-step solution (Breakdown Recovery):
1. Original SPT order: Job E → Job D → Job B → Job A
2. Simulate processing with breakdown:
- Job E: 0 → 35
- Job D: Starts at 35, breakdown at 66 (31 min completed), repair 39 min, resume 5 min → completes at 110
- Job B: 110 → 159
- Job A: 159 → 247
3. Total makespan: 247 minutes
4. Delay caused by breakdown: 39 minutes
Answer: 247 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.
1. Original SPT order: Job E → Job D → Job B → Job A
2. Simulate processing with breakdown:
- Job E: 0 → 35
- Job D: Starts at 35, breakdown at 66 (31 min completed), repair 39 min, resume 5 min → completes at 110
- Job B: 110 → 159
- Job A: 159 → 247
3. Total makespan: 247 minutes
4. Delay caused by breakdown: 39 minutes
Answer: 247 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.