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 B | 47 | 70 | 3 | 16 |
| Component D | 39 | 69 | 1 | 14 |
| Component A | 49 | 116 | 3 | 20 |
| Component C | 38 | 100 | 1 | 14 |
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 D → Component B → Component C → Component A
2. Calculate completion times and penalties:
- Component D: completes at 39, due 69, early by 30 min → penalty 30
- Component B: completes at 86, due 70, late by 16 min → penalty 256
- Component C: completes at 124, due 100, late by 24 min → penalty 336
- Component A: completes at 173, due 116, late by 57 min → penalty 1140
3. Total penalty: 1762
Answer: 1762 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.
1. EDD Sequence: Component D → Component B → Component C → Component A
2. Calculate completion times and penalties:
- Component D: completes at 39, due 69, early by 30 min → penalty 30
- Component B: completes at 86, due 70, late by 16 min → penalty 256
- Component C: completes at 124, due 100, late by 24 min → penalty 336
- Component A: completes at 173, due 116, late by 57 min → penalty 1140
3. Total penalty: 1762
Answer: 1762 penalty points
Key Strategy: JIT scheduling minimizes total earliness + tardiness penalties, balancing inventory costs and customer satisfaction.