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 C | 28 | 96 | 4 | 10 |
| Component A | 41 | 51 | 1 | 19 |
| Component D | 28 | 58 | 1 | 12 |
| Component B | 23 | 92 | 1 | 18 |
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 A → Component D → Component B → Component C
2. Calculate completion times and penalties:
- Component A: completes at 41, due 51, early by 10 min → penalty 10
- Component D: completes at 69, due 58, late by 11 min → penalty 132
- Component B: completes exactly on time → penalty 0
- Component C: completes at 120, due 96, late by 24 min → penalty 240
3. Total penalty: 382
Answer: 382 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.
1. EDD Sequence: Component A → Component D → Component B → Component C
2. Calculate completion times and penalties:
- Component A: completes at 41, due 51, early by 10 min → penalty 10
- Component D: completes at 69, due 58, late by 11 min → penalty 132
- Component B: completes exactly on time → penalty 0
- Component C: completes at 120, due 96, late by 24 min → penalty 240
3. Total penalty: 382
Answer: 382 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.