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 A | 22 | 51 | 1 | 18 |
| Component B | 49 | 93 | 1 | 10 |
| Component C | 23 | 72 | 4 | 12 |
| Component D | 28 | 88 | 3 | 20 |
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 C → Component D → Component B
2. Calculate completion times and penalties:
- Component A: completes at 22, due 51, early by 29 min → penalty 29
- Component C: completes at 45, due 72, early by 27 min → penalty 108
- Component D: completes at 73, due 88, early by 15 min → penalty 45
- Component B: completes at 122, due 93, late by 29 min → penalty 290
3. Total penalty: 472
Answer: 472 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.
1. EDD Sequence: Component A → Component C → Component D → Component B
2. Calculate completion times and penalties:
- Component A: completes at 22, due 51, early by 29 min → penalty 29
- Component C: completes at 45, due 72, early by 27 min → penalty 108
- Component D: completes at 73, due 88, early by 15 min → penalty 45
- Component B: completes at 122, due 93, late by 29 min → penalty 290
3. Total penalty: 472
Answer: 472 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.