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 | 59 | 97 | 2 | 17 |
| Component C | 49 | 78 | 2 | 18 |
| Component B | 35 | 57 | 1 | 16 |
| Component D | 59 | 102 | 3 | 17 |
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 C → Component A → Component D
2. Calculate completion times and penalties:
- Component B: completes at 35, due 57, early by 22 min → penalty 22
- Component C: completes at 84, due 78, late by 6 min → penalty 108
- Component A: completes at 143, due 97, late by 46 min → penalty 782
- Component D: completes at 202, due 102, late by 100 min → penalty 1700
3. Total penalty: 2612
Answer: 2612 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.
1. EDD Sequence: Component B → Component C → Component A → Component D
2. Calculate completion times and penalties:
- Component B: completes at 35, due 57, early by 22 min → penalty 22
- Component C: completes at 84, due 78, late by 6 min → penalty 108
- Component A: completes at 143, due 97, late by 46 min → penalty 782
- Component D: completes at 202, due 102, late by 100 min → penalty 1700
3. Total penalty: 2612
Answer: 2612 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.