Dynamic Production Sequencing - Intermediate Level: tricky scenarios handling Dynamic Production Sequencing INTERMEDIATE

This expert challenge 📈 worksheet focuses on Dynamic Production Sequencing - a key topic in Scheduling. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve dynamic production sequencing, dynamic production sequencing tricks, and dynamic production sequencing shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Dynamic Production Sequencing
Worksheet 5 of 10 (44% complete)

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)) + ...

Question 2

A machine must process four products (P2, P3, P1, P4) to minimize total time. Processing times: P2: 34, P3: 30, P1: 82, P4: 80 Setup times: | From ↓ / To → | P2 | P3 | P1 | P4 | | P2 | 0 | 31 | 33 | 10 | | P3 | 28 | 0 | 34 | 27 | | P1 | 18 | 20 | 0 | 31 | | P4 | 28 | 35 | 17 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 273 minutes. Sequence: P2 - P4 - P1 - P3.
Calculation: P2 → P4 → P1 → P3.
Time: PT(P2) + (ST(P2→P4) + PT(P4)) + ...

Question 3

A machine must process four products (P3, P1, P4, P2) to minimize total time. Processing times: P3: 84, P1: 33, P4: 46, P2: 63 Setup times: | From ↓ / To → | P3 | P1 | P4 | P2 | | P3 | 0 | 26 | 19 | 22 | | P1 | 32 | 0 | 21 | 27 | | P4 | 36 | 19 | 0 | 40 | | P2 | 20 | 33 | 27 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 284 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 4

A machine must process four products (P2, P1, P3, P4) to minimize total time. Processing times: P2: 68, P1: 88, P3: 78, P4: 44 Setup times: | From ↓ / To → | P2 | P1 | P3 | P4 | | P2 | 0 | 29 | 10 | 38 | | P1 | 21 | 0 | 20 | 20 | | P3 | 15 | 16 | 0 | 21 | | P4 | 22 | 19 | 30 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 324 minutes. Sequence: P2 - P3 - P1 - P4.
Calculation: P2 → P3 → P1 → P4.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 5

A machine must process four products (P3, P1, P2, P4) to minimize total time. Processing times: P3: 52, P1: 41, P2: 73, P4: 41 Setup times: | From ↓ / To → | P3 | P1 | P2 | P4 | | P3 | 0 | 35 | 29 | 20 | | P1 | 18 | 0 | 25 | 21 | | P2 | 20 | 39 | 0 | 23 | | P4 | 20 | 31 | 36 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 272 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 6

A machine must process four products (P2, P1, P3, P4) to minimize total time. Processing times: P2: 36, P1: 37, P3: 63, P4: 74 Setup times: | From ↓ / To → | P2 | P1 | P3 | P4 | | P2 | 0 | 13 | 40 | 19 | | P1 | 29 | 0 | 17 | 14 | | P3 | 29 | 39 | 0 | 21 | | P4 | 12 | 10 | 29 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 252 minutes. Sequence: P4 - P2 - P1 - P3.
Calculation: P4 → P2 → P1 → P3.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...

Question 7

A machine must process four products (P3, P4, P1, P2) to minimize total time. Processing times: P3: 86, P4: 90, P1: 33, P2: 39 Setup times: | From ↓ / To → | P3 | P4 | P1 | P2 | | P3 | 0 | 17 | 28 | 10 | | P4 | 37 | 0 | 24 | 36 | | P1 | 26 | 24 | 0 | 36 | | P2 | 12 | 17 | 12 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 294 minutes. Sequence: P3 - P2 - P1 - P4.
Calculation: P3 → P2 → P1 → P4.
Time: PT(P3) + (ST(P3→P2) + PT(P2)) + ...

Question 8

A machine must process four products (P4, P2, P1, P3) to minimize total time. Processing times: P4: 41, P2: 43, P1: 52, P3: 39 Setup times: | From ↓ / To → | P4 | P2 | P1 | P3 | | P4 | 0 | 38 | 16 | 30 | | P2 | 22 | 0 | 24 | 14 | | P1 | 38 | 29 | 0 | 29 | | P3 | 11 | 30 | 24 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 216 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 9

A machine must process four products (P4, P1, P2, P3) to minimize total time. Processing times: P4: 38, P1: 41, P2: 53, P3: 31 Setup times: | From ↓ / To → | P4 | P1 | P2 | P3 | | P4 | 0 | 34 | 35 | 39 | | P1 | 32 | 0 | 12 | 17 | | P2 | 21 | 39 | 0 | 17 | | P3 | 33 | 24 | 37 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 220 minutes. Sequence: P3 - P1 - P2 - P4.
Calculation: P3 → P1 → P2 → P4.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 10

A machine must process four products (P3, P1, P2, P4) to minimize total time. Processing times: P3: 68, P1: 42, P2: 42, P4: 36 Setup times: | From ↓ / To → | P3 | P1 | P2 | P4 | | P3 | 0 | 35 | 38 | 15 | | P1 | 22 | 0 | 20 | 39 | | P2 | 17 | 22 | 0 | 22 | | P4 | 13 | 24 | 27 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 240 minutes. Sequence: P1 - P2 - P3 - P4.
Calculation: P1 → P2 → P3 → P4.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 11

A machine must process four products (P1, P3, P2, P4) to minimize total time. Processing times: P1: 54, P3: 63, P2: 67, P4: 62 Setup times: | From ↓ / To → | P1 | P3 | P2 | P4 | | P1 | 0 | 26 | 38 | 25 | | P3 | 13 | 0 | 29 | 14 | | P2 | 12 | 22 | 0 | 34 | | P4 | 10 | 36 | 32 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 292 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 12

A machine must process four products (P1, P3, P4, P2) to minimize total time. Processing times: P1: 90, P3: 71, P4: 55, P2: 35 Setup times: | From ↓ / To → | P1 | P3 | P4 | P2 | | P1 | 0 | 29 | 25 | 26 | | P3 | 12 | 0 | 28 | 20 | | P4 | 16 | 22 | 0 | 23 | | P2 | 21 | 24 | 37 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 310 minutes. Sequence: P4 - P2 - P3 - P1.
Calculation: P4 → P2 → P3 → P1.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...

Question 13

A machine must process four products (P2, P4, P3, P1) to minimize total time. Processing times: P2: 54, P4: 50, P3: 79, P1: 71 Setup times: | From ↓ / To → | P2 | P4 | P3 | P1 | | P2 | 0 | 37 | 10 | 16 | | P4 | 24 | 0 | 39 | 37 | | P3 | 20 | 20 | 0 | 34 | | P1 | 33 | 11 | 14 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 299 minutes. Sequence: P1 - P4 - P2 - P3.
Calculation: P1 → P4 → P2 → P3.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 14

A machine must process four products (P3, P4, P1, P2) to minimize total time. Processing times: P3: 69, P4: 32, P1: 54, P2: 35 Setup times: | From ↓ / To → | P3 | P4 | P1 | P2 | | P3 | 0 | 13 | 39 | 27 | | P4 | 36 | 0 | 11 | 40 | | P1 | 22 | 19 | 0 | 16 | | P2 | 13 | 21 | 22 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 227 minutes. Sequence: P2 - P3 - P4 - P1.
Calculation: P2 → P3 → P4 → P1.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...

Question 15

A machine must process four products (P1, P4, P3, P2) to minimize total time. Processing times: P1: 89, P4: 60, P3: 66, P2: 44 Setup times: | From ↓ / To → | P1 | P4 | P3 | P2 | | P1 | 0 | 12 | 15 | 13 | | P4 | 24 | 0 | 15 | 17 | | P3 | 35 | 25 | 0 | 24 | | P2 | 28 | 14 | 28 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 301 minutes. Sequence: P1 - P2 - P4 - P3.
Calculation: P1 → P2 → P4 → P3.
Time: PT(P1) + (ST(P1→P2) + PT(P2)) + ...

Question 16

A machine must process four products (P3, P1, P4, P2) to minimize total time. Processing times: P3: 61, P1: 70, P4: 72, P2: 66 Setup times: | From ↓ / To → | P3 | P1 | P4 | P2 | | P3 | 0 | 33 | 28 | 36 | | P1 | 39 | 0 | 20 | 38 | | P4 | 11 | 20 | 0 | 14 | | P2 | 22 | 30 | 19 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 325 minutes. Sequence: P1 - P4 - P2 - P3.
Calculation: P1 → P4 → P2 → P3.
Time: PT(P1) + (ST(P1→P4) + PT(P4)) + ...

Question 17

A machine must process four products (P2, P4, P3, P1) to minimize total time. Processing times: P2: 65, P4: 61, P3: 70, P1: 81 Setup times: | From ↓ / To → | P2 | P4 | P3 | P1 | | P2 | 0 | 32 | 16 | 10 | | P4 | 12 | 0 | 17 | 11 | | P3 | 15 | 24 | 0 | 11 | | P1 | 38 | 27 | 21 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 316 minutes. Sequence: P4 - P2 - P3 - P1.
Calculation: P4 → P2 → P3 → P1.
Time: PT(P4) + (ST(P4→P2) + PT(P2)) + ...

Question 18

A machine must process four products (P4, P2, P3, P1) to minimize total time. Processing times: P4: 46, P2: 63, P3: 44, P1: 50 Setup times: | From ↓ / To → | P4 | P2 | P3 | P1 | | P4 | 0 | 35 | 29 | 30 | | P2 | 24 | 0 | 24 | 24 | | P3 | 28 | 38 | 0 | 25 | | P1 | 31 | 25 | 32 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 277 minutes. Sequence: P3 - P1 - P2 - P4.
Calculation: P3 → P1 → P2 → P4.
Time: PT(P3) + (ST(P3→P1) + PT(P1)) + ...

Question 19

A machine must process four products (P2, P4, P3, P1) to minimize total time. Processing times: P2: 38, P4: 89, P3: 34, P1: 79 Setup times: | From ↓ / To → | P2 | P4 | P3 | P1 | | P2 | 0 | 38 | 15 | 11 | | P4 | 14 | 0 | 28 | 33 | | P3 | 31 | 21 | 0 | 19 | | P1 | 25 | 37 | 35 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 286 minutes. Sequence: P3 - P4 - P2 - P1.
Calculation: P3 → P4 → P2 → P1.
Time: PT(P3) + (ST(P3→P4) + PT(P4)) + ...

Question 20

A machine must process four products (P4, P2, P3, P1) to minimize total time. Processing times: P4: 86, P2: 70, P3: 86, P1: 38 Setup times: | From ↓ / To → | P4 | P2 | P3 | P1 | | P4 | 0 | 33 | 28 | 24 | | P2 | 40 | 0 | 10 | 32 | | P3 | 17 | 16 | 0 | 25 | | P1 | 12 | 38 | 30 | 0 | What sequence minimizes total time?
Optimal sequence examined for all 24 permutations.
Minimum time: 327 minutes. Sequence: P2 - P3 - P1 - P4.
Calculation: P2 → P3 → P1 → P4.
Time: PT(P2) + (ST(P2→P3) + PT(P3)) + ...
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