1 / 13

Project Scheduling (2)

Project Scheduling (2). Tran Van Hoai Faculty of Computer Science & Engineering HCMC University of Technology. LP model. EF(X) = ES(X) + Weight(X) LF(X) = LS(X) + Weight(X) ES(X) = MAX Y=immediate predecessor of X {EF(Y)}. ES(X) = ES(Y) + Weight(Y) (Y is immediate predecessor).

ishi
Download Presentation

Project Scheduling (2)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Project Scheduling (2) Tran Van HoaiFaculty of Computer Science & Engineering HCMC University of Technology Tran Van Hoai

  2. LP model EF(X) = ES(X) + Weight(X) LF(X) = LS(X) + Weight(X) ES(X) = MAXY=immediate predecessor of X{EF(Y)} ES(X) = ES(Y) + Weight(Y) (Y is immediate predecessor) Tran Van Hoai

  3. Klonepalm 2000 LP model E 21 B 15 C 5 A 90 F 25 G 14 D 20 H 28 XG ≥ XF + 25 XG ≥ XC + 5 I 30 J 45 Tran Van Hoai

  4. Objective function • Required objective function • MIN MAXi=A,B,…,J{Xi} • Need an additional variable X, which is X ≥ Xi, for all i=A,B,…, J • Revised objective function is MIN X • A meaningless objective provide same result • MIN ∑i=A,B,…,J Xi Tran Van Hoai

  5. Practical modeling issues • Other time constraints • Initial production run (E) must be started in Q3. Assume project started in 1/1/xxxx • Purchase of materials (B) and Preproduction advertising campaign (I) must be started at least 10 days away from the other • Initial production run (E) must be after Preproduction advertising campaign (I) at most 45 days Tran Van Hoai

  6. ES/EF Sequence 149,170 90,105 110,115 E 21 B 15 C 5 129,149 90,115 149,177 0,90 115,129 A 90 F 25 G 14 D 20 H 28 104,134 149,194 I 30 J 45 Tran Van Hoai

  7. Practical modeling issues • Resource constraints • Only 2 persons (groups) executing the project. Assume • Non-preemptive execution • One person is possible to execute all activities Tran Van Hoai

  8. No communication cost B 4 F 3 J 3 C 4 G 6 A 2 K 2 D 5 H 5 E 4 I 4 Tran Van Hoai

  9. Scheduling on 3 persons D I P3 C G H K P2 A B E F J P1 Time 24 Tran Van Hoai

  10. Scheduling on 4 persons E I P4 D H P3 P2 C G K A B F J P1 14 Time Tran Van Hoai

  11. Arc weight B 4 4 F 3 4 J 3 6 6 2 2 C 4 2 G 6 A 2 K 2 3 3 D 5 4 H 5 4 2 E 4 3 I 4 Tran Van Hoai

  12. Scheduling on 3 persons D I P3 C G H K P2 A B E F J P1 Time 24 Tran Van Hoai

  13. Homework, homework, homework • Read 5.6 • Gantt charts • Read 5.7 • Resource leveling Tran Van Hoai

More Related