1. PROJECT MANAGEMENT Definitions WBS = Work Breakdown Structure
OBS = Organisation Breakdown Structure
ABS = Activity Breakdown Structure
PBS = Product Breakdown Structure
RBS = Resource Breakdown Structure

2. PROJECT MANAGEMENT Definitions
ES = Early Start = the earliest time an activity can start
EF = Early Finish = the earliest time an activity can finish
LS = Late Start = the latest time an activity can start
LF = Late Finish = the latest time an activity can finish

3. PROJECT MANAGEMENT Definitions
TF = Total Float = delayed time to start an activity without changing the project completion date = LS - ES
FF = Free Float = how much delay an activity can have without affecting the beginning of the next activity

4. PROJECT MANAGEMENT
Exercise
Inizio = Start; Fine = End; Giorni = Days

5. PROJECT MANAGEMENT Attività = Activity Attività A Attività B
Attività C ES 1 3 EF 6 2 5 LS 4 LF TF FF

6. PROJECT MANAGEMENT
Focus on B Activity. TF = 8 days; FF = 2 days

7. PROJECT MANAGEMENT
TF = 8 days. Activity B can start 8 days later without affecting project completion.
FF = 2 days. Activity B can delay 2 days without affecting next activities

8. PROJECT MANAGEMENT FORWARD PASS For each activity (i) we calculate:
EF(i) = ES(i)+Duration(i)-1
ES(i)=MAX( EFprev)+1
BACKWARD PASS
LS(i)=LF(i)-Duration+1
LF(i)=MIN(LSnext)-1

9. PROJECT MANAGEMENT TF(i) = LS(i) – ES(i) FF(i) = MIN (ESnext) – EF(i)
CRITICAL PATH
all activities where TF=0.