Tutorial 12 - Project Management (Extra) Student

Xstart0 xstartx0 starte constraints startingtime 1 0

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Unformatted text preview: EF for the required activity) XStart = 0 (Starting Time for the project) XStart = 0 ‐XStart + X__ ≥ 0 (Start ‐> A) Start A B C D E F Finish X____ ≥ XStart + 0 Earliest Time 0 0 0 5 4 0 8 10 ‐XStart + X__ ≥ 0 (Start ‐> B) X____ ≥ XStart + 0 OFC 0 0 0 0 0 0 0 1 10 X____ ≥ XStart + 0 ‐XStart + X__ ≥ 0 (Start ‐> E) Constraints Starting Time 1 0 = 0 Start ‐ > A ‐1 1 0 ≥ 0 ‐X__ + X__ ≥ __ (A ‐> C) X____ ≥ X__ + __ Start ‐ > B ‐1 1 0 ≥ 0 X____ ≥ X__ + __ => ‐X__ + X__ ≥ __ (B ‐> C) Start ‐ > E ‐1 1 0 ≥ 0 A ‐ > C ‐1 1 5 ≥ 2 ‐X__ + X__ ≥ __ (B ‐> D) X____ ≥ X__ + __ B ‐ > C ‐1 1 5 ≥ 4 B ‐ > D ‐1 1 4 ≥ 4 ‐X__ + X__ ≥ 3 (C ‐> F) X____ ≥ X__ + 3 C ‐ > F ‐1 1 3 ≥ 3 X____ ≥ X__ + 8 ‐X__ + X__ ≥ 8 (E ‐> F) E ‐> F ‐1 1 8 ≥ 8 Finish ‐1 1 6 ≥ 4 ‐X__ + XFinish ≥ 4 (D ‐> Finish) D ‐ ‐>> Finish XFinish ≥ X__ + 4 F ‐1 1 2 ≥ 2 LHS Sign RHS ‐X__ + XFinish ≥ 2 (F ‐> Finish) XFinish ≥ X__ + 2 All X ≥ 0 All X ≥ 0 (Non‐Negativity) Conclusion: The total project time is ______ days and the ES for A, B, C, D, E, F are ____________________ respectively. CB2201 Sem B in 2012/2013 – TA1, TA3, TA4, TB5, TC4, TF4, TE3, TE4, TE5, TF1, and TF3 Q13.24 (Project Crashing) (a) What is the project completion date? M1) List all possible paths M2) Use the Earliest and Latest times Possible Paths Time (Weeks) A-D-G 3+7+4=14* B-E-G 2+6+4=12 C-F 1+2=3 Conclusion: The critical path is A‐D‐G and the project completion time is 14 w...
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