1. Multiple dependency activity on node (AoN) networks ( lecture )

2. Four possible dependencies between activities Finish-to-start (or normal) dependency Start-to-start dependency Finish-to-finish dependency Start-to-finish dependency

3. Finish-to-start (or normal) dependency a 0 30 0 3 3 b 7 90 7 9 2 4 0 0

4. Start-to-start (or lag-start) dependency x 0 30 0 3 3 y 4 60 4 6 2 4 00 Example: the air-conditioning should be started in a building a given time before visitors are let inside

5. Finish-to-finish (lag-finish) dependency c 0 30 0 3 3 d 5 70 5 7 2 4 00 Example: c: writing a chapter to a book d: editing the whole book lag: acceptance of the chapter by the reviewer

6. Start-to-finish dependency a 0 60 0 6 6 b 2 40 2 4 2 4 00 Example: a: production with a new machine b: quality check lag:to ensure the coverage for the test production with quality checking

7. Dependencies can be used in combination Start-to-start & finish-to-finish: a 0 3 ? 0 3 3 b 5 9? 7 9 2 5 6 ? ? Example: a: marketing action b: measuring the effect of the action lags: the effect needs time to appear, and to fade out

8. Floats on multiple dependency networks Total float = LFT – EST – Duration Early total float = LFT – EFT Late total float = LST – EST In case of multiple dependence free float cannot be calculated

9. Solution a 0 3 0 0 3 3 b 5 92 7 9 2 5 6

10. Calculations with finish-to-start lags a 0 0 3 b 3 c 3 f 3 d 3 e 3 g 3 h 3 4 3 5 1 2 12

11. a 0 30 0 3 3 b 6 96 12 15 3 c 7 100 7 3 f 20 230 20 23 3 d 4 76 10 13 3 e 15 180 15 18 3 g 213 24 3 h 270 24 27 3 4 3 5 1 2 12 0 0 000 6 6 3

12. Various dependencies a 0 0 1 b 2 c 3 f 1 d 4 e 4 g 5 h 3 4 3 5 1 2 1 2 5 2 Dangler activities!

13. Various dependencies a 0 10 0 1 1 b 4 613 14 19 2 c 5 80 5 8 3 f 9 10 19 20 1 d 2 516 18 22 4 e 13 170 13 17 4 g 220 17 22 5 h 20 241 21 24 3 4 3 5 1 2 1 2 5 2

14. Practicing a 0 40 0 4 4 b 3 d 2 c 7 e 4 5 1 2 3 4

15. a 0 40 0 4 4 b 4 79 13 16 3 d 8 109 17 19 2 c 9 160 9 7 e 19 230 19 23 4 5 1 2 3 4

16. Reading Textbook chapter 15

17. Thank you for listening