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 | 27 | 100 | 4 | 14 |
| Component C | 39 | 90 | 2 | 13 |
| Component D | 39 | 102 | 3 | 20 |
| Component B | 46 | 92 | 3 | 16 |
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 C → Component B → Component A → Component D
2. Calculate completion times and penalties:
- Component C: completes at 39, due 90, early by 51 min → penalty 102
- Component B: completes at 85, due 92, early by 7 min → penalty 21
- Component A: completes at 112, due 100, late by 12 min → penalty 168
- Component D: completes at 151, due 102, late by 49 min → penalty 980
3. Total penalty: 1271
Answer: 1271 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.
1. EDD Sequence: Component C → Component B → Component A → Component D
2. Calculate completion times and penalties:
- Component C: completes at 39, due 90, early by 51 min → penalty 102
- Component B: completes at 85, due 92, early by 7 min → penalty 21
- Component A: completes at 112, due 100, late by 12 min → penalty 168
- Component D: completes at 151, due 102, late by 49 min → penalty 980
3. Total penalty: 1271
Answer: 1271 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.