1. Multiple dependency activity on node (AoN) networks

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) dependencya 3 b 7 9 2 4

4. Start-to-start (or lag-start) dependency4 x 3 y 4 6 2
Example: - the air-conditioning should be started in a building a given time before visitors are let inside - writing should be started before language correction can begin

5. Finish-to-finish (lag-finish) dependency4 c 3 d 5 7 2
Example: - c: a band playing at a concert; d: providing security service at the concert - c: writing a novel; d: language editing of the novel

6. Start-to-finish dependency4 b 1 6 ? 4 c 2 4 3 5
Example: - b: 1st shift; c: 2nd shift in a manufacturing plant

7. Dependencies can be used in combination
Start-to-start & finish-to-finish: 5 ? ? a 3 ? b 5 9 ? 7 2 6
Example: a: a given marketing activity b: measuring the effect of the marketing activity 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 5 a 3 b 5 9 2 7 6

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

11. Calculations with finish-to-start lags6 a 3 b 6 9 12 15 c 7 10 f 20 23 d 4 13 e 18 g 21 24 h 27 5 1 2 3 6

12. Various dependencies Dangler activities! b f a c e h g d 3 5 1 2 4 5 21 c 3 e 4 h 3 2 4 5 g 5 2 2 d 4 1

13. Various dependencies b f a c e h g d 3 5 1 2 4 5 2 2 1 2 1 3 4 3 5 4 46 13 14 19 2 3 f 9 19 10 20 1 5 1 a 1 c 5 8 3 e 13 17 4 h 20 24 1 21 3 2 4 5 g 17 22 5 2 2 d 2 5 16 18 22 4 1

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

15. Practicing b 4 7 9 13 16 3 d 8 10 9 17 19 2 1 4 a 4 2 e 19 23 4 5 c 9 16 7 3

16. Reading
Textbook chapter 15

17. Thank you for listening