Example of repetitive project with probabilistic activity durations
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The document presents a method for scheduling repetitive projects with probabilistic activity durations, utilizing the Sequence Step Algorithm (SQS-AL) to optimize resource utilization and minimize idle time. Several examples showcase the application of the algorithm across multiple steps, detailing collected crew idle time and project efficiency metrics. Results indicate an average project duration of 123 days with zero idle time at an 80% confidence level.
Example of repetitive project with probabilistic activity durations
- 1. (III) Example of SQS-AL 1 EXAMPLE OF SCHEDULING A REPETITIVE PROJECT WITH PROBABILISTIC ACTIVITY DURATIONS Eliminating Idle Time in Resource Utilization Using the Sequence Step Algorithm, SQS-AL Presented by Chachrist Srisuwanrat 2008
- 2. (III) Example of SQS-AL 2 EXAMPLE 2 Work Amount (Work Units) Uni t A B C D E F G 1 100 150 200 150 100 150 50 2 250 100 150 200 150 250 200 3 150 200 50 100 50 50 50 4 200 150 200 150 100 100 150 Productivity (Work Units/Time Units) Activity Mean SD A 10 1.0 B 20 2.0 C 15 1.5 D 15 1.5 E 25 2.5 F 15 1.5 G 20 2.0 A B C D E F G SQS1 SQS2 SQS3 SQS4 For example, A1 duration on average is 100/10 = 10 time units
- 3. (III) Example of SQS-AL 3 Results from sequence step 2 replication 1 (SQS2_n1) RSM_SQS1_n1 0 1 2 3 4 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time Unit A B C D E F G Crew Idle Time of B (CITB)
- 4. (III) Example of SQS-AL 4 Collected Crew Idle Time (CIT) at the end of SQS2 CITB Range % Frequency < 35 0.01 < 40 1.26 < 45 19.37 < 50 65.92 < 55 94.27 < 60 99.40 < 65 99.95 < 70 99.99 < 75 100.00 CITC Range % Frequency < 25 0.01 < 30 0.03 < 35 0.09 < 40 15.33 < 45 57.92 < 50 90.67 < 55 98.94 < 60 99.92 < 65 100.00
- 5. (III) Example of SQS-AL 5 Result from sequence step 3 replication 1 (SQS3_n1) RSM_SQS2_n1 0 1 2 3 4 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time Unit A B C D E F G B starts at date 55 C starts at date 50
- 6. (III) Example of SQS-AL 6 Collected Crew Idle Time (CIT) at the end of SQS3 CITD Range % Frequency < 60 0.00 < 65 62.14 < 70 99.50 < 75 99.99 < 80 100.00 CITE Range % Frequency < 65 0.00 < 70 1.84 < 75 74.66 < 80 99.67 < 85 99.99 < 90 100.00 CITF Range % Frequency < 55 0.00 < 60 0.05 < 65 63.24 < 70 99.39 < 75 99.99 < 80 100.00 CITB Range % Frequency < 0 0.00 < 5 99.48 < 10 99.97 < 15 100.00 CITC Range % Frequency < 0 0.00 < 5 98.92 < 10 99.95 < 15 100.00
- 7. (III) Example of SQS-AL 7 Result from sequence step 4 replication 1 (SQS4_n1) RSM_SQS3_n1 0 1 2 3 4 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time Unit A B C D E F G
- 8. (III) Example of SQS-AL 8 Collected Crew Idle Time (CIT) at the end of SQS3 CITB Range % Frequency < 0 0.00 < 5 99.52 < 10 99.98 < 15 100.00 CITC Range % Frequency < 0 0.00 < 5 99.06 < 10 99.92 < 15 100.00 CITD Range % Frequency < 5 0.00 < 10 100.00 CITE Range % Frequency < 0 0.00 < 5 100.00 CITF Range % Frequency < 0 0.00 < 5 100.00 CITG Range % Frequency < 90 0.00 < 95 21.44 < 100 93.09 < 105 99.92 < 110 100.00
- 9. (III) Example of SQS-AL 9 Result from sequence step 5* replication 1 (SQS5_n1) RSM_SQS4_n1 0 1 2 3 4 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time Unit A B C D E F G
- 10. (III) Example of SQS-AL 10 Final Crew Idle Times CITB Range % Frequency < 0 0.00 < 5 99.39 < 10 99.95 < 15 100.00 CITC Range % Frequency < 0 0.00 < 5 99.11 < 10 99.94 < 15 100.00 CITD Range % Frequency < 5 0.00 < 10 100.00 CITE Range % Frequency < 0 0.00 < 5 100.00 CITF Range % Frequency < 0 0.00 < 5 100.00 CITG Range % Frequency < 0 0.00 < 5 99.90 < 10 100.00
- 11. (III) Example of SQS-AL 11 Results from Each Sequence Step Average CIT SQS A B C D E F G 2 0 48 44 54 66 54 79 3 0 0 0 64 73 64 90 4 0 0 0 0 0 0 96 5* 0 0 0 0 0 0 0 Average Sum of Lags Between Units (UIT) Assigned Crew Lead Time (CLT) Average Project Duration Average Project Idle Time SQS B C D E F G B C D E F G 2 38 34 30 48 30 45 0 0 0 0 0 0 102 225 3 0 0 1 11 1 16 55 50 0 0 0 0 113 29 4 0 0 0 0 0 12 55 50 70 80 70 0 119 12 5* 0 0 0 0 0 0 55 50 70 80 70 100 123 0 Conclusion At 80% confidence of continuity, average project duration is 123 day with 0 idle time.
- 12. (III) Example of SQS-AL 12 Balancing Between Idle Time and Project Duration Total Idle Time and Project Duration 0 50 100 150 200 250 100 120 140 160 180 Average Project Duration AverageIdleTime 20% 40% 60% 80% 100% Confident Level SQS Average Project Duration Average Project Idle Time 100% 2 102 225 3 128 29 4 142 14 5 158 0 80% 2 102 225 3 113 29 4 119 12 5 123 0 60% 2 102 225 3 113 30 4 114 18 5 118 2 40% 2 102 226 3 108 31 4 109 18 5 113 5 20% 2 102 225 3 108 37 4 109 25 5 113 8