Question 1
A machine needs to process 4 jobs. Processing times:
- Job B: 35 minutes
- Job A: 63 minutes
- Job C: 50 minutes
- Job D: 30 minutes
The machine breaks down at 109 minutes and takes 33 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 B → Job C → Job A
2. Simulate processing with breakdown:
- Job D: 0 → 30
- Job B: 30 → 65
- Job C: Starts at 65, breakdown at 109 (44 min completed), repair 33 min, resume 6 min → completes at 148
- Job A: 148 → 211
3. Total makespan: 211 minutes
4. Delay caused by breakdown: 33 minutes
Answer: 211 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.
1. Original SPT order: Job D → Job B → Job C → Job A
2. Simulate processing with breakdown:
- Job D: 0 → 30
- Job B: 30 → 65
- Job C: Starts at 65, breakdown at 109 (44 min completed), repair 33 min, resume 6 min → completes at 148
- Job A: 148 → 211
3. Total makespan: 211 minutes
4. Delay caused by breakdown: 33 minutes
Answer: 211 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.