21CE490 – Project Management – session 12.pptx

Gjik

1. 21CE490 – Project Management – Session 12 Welcome to the Course and Happy Learning Dr.G.Chitra , Prof., Dept of Civil Engg ., TCE, Madurai

2. Review of yesterday’s session 20-02-2023 2 CPM Analysis – ES,EF,LS,LF TF,FF ,INF Square network diagram

3. CPM Analysis 20-02-2023 SESSION 1 3 (LS , LF)

4. CPM Analysis – Activity Oriented Network Approach – Forward Procedure Analysis done in 2 stages 20-02-2023 SESSION 1 4 Forward Procedure – ES and EF are determined Backward Procedure – LS and LF are determined (t) Earliest Start Time for an Activity : ES (Act): - It is the earliest time when an activity can be started Note: ES( All starting activities) = 0

5. 20-02-2023 SESSION 1 5 CPM Analysis – Activity Oriented Network Approach- Contn … 2) Earliest Finish Time for an Activity : EF (Act): - It is the earliest time when an activity can be Finished Note: EF(Act) = ES(Act) + duration (t) Example 1: 1 2 3 4 5

6. CPM Analysis – Forward Procedure 20-02-2023 SESSION 1 6 Note: ES (Current Successor) = Maximum{ EF(All its Predecessors) } Target=13d

7. CPM Analysis – Backward Procedure 3) Latest Start Time for an Activity : LS(Act): - It is the latest time when an activity can be started without affecting the target time of the project 4) Latest Finish Time for an Activity : LF(Act): - It is the latest time when an activity can be finished without affecting the target time of the project Note: Assume: LF(All finishing activities) = Target time Note: First find LF and then LS for activity using the formula: Note: LS (Act)= LF (Act)- duration (t) 20-02-2023 SESSION 1 7

8. CPM Analysis – Backward Procedure 20-02-2023 SESSION 1 8 Note: LF (Current Predecessor) = Minimum{ LS(All its Successors)}

9. Extra Time / Floats for activities 1) Total Float for an Activity TF(Act): Total Extra time available for delaying an activity along a path without affecting the target given by: TF(Act) = {LF(Act) – ES(Act) – t} = LF(Act) – {ES(Act) – t }= (LF-EF) or = {LF(Act) –t } –ES(Act) = (LS –ES) 20-02-2023 SESSION 1 9 TF helps to identify the nature of activities: Activities with Zero TF are Critical

10. Total Float Calculation for Activities 20-02-2023 SESSION 1 10

11. Extra Time / Floats for activities- Contn … 2) Free Float for an Activity FF(Act): The extra time available for delaying the finishing (EF) of an activity such that the ES of its successors is not affected FF(Act) = ES (its Successors) – EF(Act) 3) Interfering Float for an Activity INF(Act) INF(Act) = TF(Act) – FF(Act) 20-02-2023 SESSION 1 11

12. Free Float Calculation for Activities 20-02-2023 SESSION 1 12

13. Critical Path, Critical Activities & Non- critical Activities 20-02-2023 SESSION 1 13 Critical Path M,B,D,G – Critical Activities K, R – Non-critical Activities

14. Square Network / Time Scaled Version Diagram - Diagram to be drawn on X-Y axis - Drawn with only ES and EF times of activities - Critical Path is drawn first and is shown as an horizontal line - With respect to the critical path, the non critical activities are shown based on their positions as they appear in the original network’ - A Non- critical activity with a ---- line beyond it, indicates there is FF for the activity - TF for a non-critical activity will appear along the entire path 20-02-2023 SESSION 1 14

15. Ex: 1 Square Network / Time Scaled Version Diagram 20-02-2023 SESSION 1 15

16. Ex:2 L&T Problem- purchase of RMC and install at factory site 20-02-2023 SESSION 1 16 B-A-G-F-D-E – Critical Path

17. Ex.2: Square Network Diagram 20-02-2023 SESSION 1 17

18. Ex:3 – CPM Analysis 20-02-2023 SESSION 1 18

19. Ex:3- Square Network Diagram 20-02-2023 SESSION 1 19 (FF =7, TF=7)

20. Ex:4: Problem 20-02-2023 SESSION 1 20 Act L B A K C J D H F E M G I N O Du (d) 2 4 3 3 4 2 3 2 4 3 2 4 2 3 1

21. Ex:4: CPM Analysis 20-02-2023 SESSION 1 21

22. Ex:4- Square Network Diagram 20-02-2023 SESSION 1 22

23. Ex:5 – Practice Exercise- Activities with event numbers 20-02-2023 SESSION 1 23

24. Ex:5 – Practice Exercise- Activities with event numbers - Contn … 20-02-2023 SESSION 1 24

25. Ex:5 – Practice Exercise- Activities with event numbers - Contn … 20-02-2023 SESSION 1 25

26. Ex:5 – Practice Exercise- Activities with event numbers - Contn … 20-02-2023 SESSION 1 26

27. Ex:5 – Practice Exercise- Square Network Diagram 20-02-2023 SESSION 1 27

28. 20-02-2023 28