Question 1
A machine needs to process 4 jobs. Processing times:
- Job C: 90 minutes
- Job D: 68 minutes
- Job E: 73 minutes
- Job B: 90 minutes
The machine breaks down at 105 minutes and takes 43 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 D → Job E → Job C → Job B
2. Simulate processing with breakdown:
- Job D: 0 → 68
- Job E: Starts at 68, breakdown at 105 (37 min completed), repair 43 min, resume 36 min → completes at 184
- Job C: 184 → 274
- Job B: 274 → 364
3. Total makespan: 364 minutes
4. Delay caused by breakdown: 43 minutes
Answer: 364 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.
1. Original SPT order: Job D → Job E → Job C → Job B
2. Simulate processing with breakdown:
- Job D: 0 → 68
- Job E: Starts at 68, breakdown at 105 (37 min completed), repair 43 min, resume 36 min → completes at 184
- Job C: 184 → 274
- Job B: 274 → 364
3. Total makespan: 364 minutes
4. Delay caused by breakdown: 43 minutes
Answer: 364 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.