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 | 45 | 93 | 4 | 10 |
| Component A | 25 | 37 | 5 | 20 |
| Component B | 42 | 97 | 5 | 13 |
| Component D | 33 | 102 | 5 | 15 |
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 B → Component D
2. Calculate completion times and penalties:
- Component A: completes at 25, due 37, early by 12 min → penalty 60
- Component C: completes at 70, due 93, early by 23 min → penalty 92
- Component B: completes at 112, due 97, late by 15 min → penalty 195
- Component D: completes at 145, due 102, late by 43 min → penalty 645
3. Total penalty: 992
Answer: 992 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 B → Component D
2. Calculate completion times and penalties:
- Component A: completes at 25, due 37, early by 12 min → penalty 60
- Component C: completes at 70, due 93, early by 23 min → penalty 92
- Component B: completes at 112, due 97, late by 15 min → penalty 195
- Component D: completes at 145, due 102, late by 43 min → penalty 645
3. Total penalty: 992
Answer: 992 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.