Question 1
A JIT manufacturing system has 4 jobs with the following data:
| Job | Processing (min) | Due Date (min) | Early Penalty/min | Late Penalty/min |
|-----|-----------------|----------------|-------------------|------------------|
| Component D | 24 | 63 | 1 | 16 |
| Component C | 28 | 104 | 5 | 10 |
| Component A | 49 | 83 | 3 | 19 |
| Component B | 31 | 57 | 2 | 12 |
Using the Earliest Due Date (EDD) sequencing rule, what is the total penalty incurred?
Step-by-step solution (JIT Penalty Calculation):
1. EDD Sequence: Component B → Component D → Component A → Component C
2. Calculate completion times and penalties:
- Component B: completes at 31, due 57, early by 26 min → penalty 52
- Component D: completes at 55, due 63, early by 8 min → penalty 8
- Component A: completes at 104, due 83, late by 21 min → penalty 399
- Component C: completes at 132, due 104, late by 28 min → penalty 280
3. Total penalty: 739
Answer: 739 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.
1. EDD Sequence: Component B → Component D → Component A → Component C
2. Calculate completion times and penalties:
- Component B: completes at 31, due 57, early by 26 min → penalty 52
- Component D: completes at 55, due 63, early by 8 min → penalty 8
- Component A: completes at 104, due 83, late by 21 min → penalty 399
- Component C: completes at 132, due 104, late by 28 min → penalty 280
3. Total penalty: 739
Answer: 739 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.