Question 1
A machine needs to process 4 jobs. Processing times:
- Job B: 70 minutes
- Job A: 48 minutes
- Job C: 45 minutes
- Job E: 55 minutes
The machine breaks down at 83 minutes and takes 27 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 C → Job A → Job E → Job B
2. Simulate processing with breakdown:
- Job C: 0 → 45
- Job A: Starts at 45, breakdown at 83 (38 min completed), repair 27 min, resume 10 min → completes at 120
- Job E: 120 → 175
- Job B: 175 → 245
3. Total makespan: 245 minutes
4. Delay caused by breakdown: 27 minutes
Answer: 245 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.
1. Original SPT order: Job C → Job A → Job E → Job B
2. Simulate processing with breakdown:
- Job C: 0 → 45
- Job A: Starts at 45, breakdown at 83 (38 min completed), repair 27 min, resume 10 min → completes at 120
- Job E: 120 → 175
- Job B: 175 → 245
3. Total makespan: 245 minutes
4. Delay caused by breakdown: 27 minutes
Answer: 245 minutes
Key Strategy: Simulate the timeline, account for breakdown during active job processing.