Question 1
A machine must process four products (P2, P1, P3, P4) to minimize total time.
Processing times: P2: 50, P1: 51, P3: 81, P4: 48
Setup times:
| From ↓ / To → | P2 | P1 | P3 | P4 |
| P2 | 0 | 17 | 25 | 31 |
| P1 | 12 | 0 | 14 | 19 |
| P3 | 19 | 20 | 0 | 21 |
| P4 | 10 | 28 | 26 | 0 |
What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 271 minutes. Sequence: P4 - P2 - P1 - P3.
Calculation: P4 → P2 → P1 → P3.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...
Minimum time: 271 minutes. Sequence: P4 - P2 - P1 - P3.
Calculation: P4 → P2 → P1 → P3.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...