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Standards of Practice Course. CPM Scheduling Lab. Activity ID. Early Start. Early Finish. ES. ID. EF. Late Start. LS. D. LF. Late Finish. FF. TF. Free Float. Total Float. Duration. Activity Notation. Use for Manual Calculation. April, 2010. Sample. Notation:. ES. ID. EF. - PowerPoint PPT Presentation
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© Construction Management Association of America. Do Not Duplicate or Reproduce.
Standards of Practice Course
CPM Scheduling Lab
© Construction Management Association of America. Do Not Duplicate or Reproduce.
Activity Notation
Use for Manual Calculation
Early Start
Late Start
Early Finish
Late Finish
Duration
Activity ID
ES EF
LS LF
ID
D
FF TF
Free Float Total Float
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
8 17
8 17
D
10
0 0
1 3
1 3
A
3
0 0
4 4
7 7
B
1
3 3
4 7
4 7
C
4
0 0
FS FS
EF = ES + D - 1
ES = EFP + 1
LF = LSS - 1
LS = LF - D + 1
TF = LF - EF FF = ESS - EF - 1
LFES EFLS
IDD
FF TF
Notation:
Subscripts:
S = Successor
P = Predecessor
Sample
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
CMAA Formulas for Calculationfor Finish-to-Start Activities
• ES = EFP + 1
• LS = LF - D + 1
• TF = LF - EF
• EF = ES + D – 1
• LF = LSS – 1
• FF = ESS - EF - 1
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
CMAA Calculation Tips
1. Start by taking note of the relationships. Notice which are not finish-start, or which ones are finish-start but with a lag. (Formulas don’t apply to Start-to-Start relationships or Finish-to-Finish relationships.)
2. Begin calculating on the first activity on the left side.3. In CMAA’s examples, the first activity begins on Day
One. Not Day Zero. 4. Work towards the right, in an up and down motion, in
strips (this is to avoid unnecessary iterations).
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
CMAA Calculation Tips
5. When working with a lag greater than 0, first calculate the link as if it had no lag. Then add the lag time.
6. When an activity has multiple predecessors, each predecessor must be evaluated in turn to determine the correct early start date for the successor. During the Forward pass, the greater # (latest date) overrides.
7. The same concept holds true during the backward pass. For activities which have multiple successors, each successor must be evaluated to determine the correct late finish date for the preceding activity. During the backward pass, the lesser # (earlier date) overrides.
8. The last activity has no successor, so the late date formulas don’t apply. Assume for the last activity, EF = LF = END.
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
D
10
1 3A
3
4 B
1
C
4
FS FS
EF = ES + D - 1
ES = EFP + 1
LF = LSS - 1
LS = LF - D + 1
TF = LF - EF FF = ESS - EF - 1
LFES EFLS
IDD
FF TF
Notation:
Subscripts:
S = Successor
P = Predecessor
Exercise #1
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
PART 1: Calculate a Baseline ScheduleThe AON logical network of a baseline schedule for a construction project is as shown in Exercise #2. Assume
that for the last activity EF=LF=end of project.
Required: Answer all questions on network diagram only
1. Calculate the ES, EF, LS, LF, and TF for each activity.2. What is the free float (FF) for activity E?3. What is the free float (FF) for activity F? Explain the
difference in days between the FF and the TF for activity F.
Exercise #2, Part 1
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
A10
D5
F10
G10
H5
E5
B10
C10
Exercise #2, Part 1
• All relationships finish-start unless noted.
FS + 2
FS - 2
LFES EFLS
IDD
FF TF
Notation:
SS + 5
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Forward Path
A
B
C
D
E
F
G
H
SS + 5
FS + 2
FS - 2
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Backward Path
A
B
C
D
E
F
G
H
SS + 5
FS + 2
FS - 2
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Part 2
PART 2: Calculating Progress on the ScheduleAt the end of the day on day 15, the following progress
information was available:
1. Activity A started 2 days late, and was completed on time.
2. Activity B started on time, and made progress as follows.
a. Completed work in place = 500 sq ft
b. Remaining work quantity = 500 sq ft
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Part 2
PART 2, Continued:
3. Activity D started on day 14. Remaining duration required for completion is estimated to be 2 days.
4. The original duration for Activity E changed from 5 days to 20 days.
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Part 2
PART 2, Continued:Required: Answer all questions on network diagram only
Based on the progress information available at end of day 15,
Q1. Calculate actual start and finish dates for all activities in progress.
Q2. Calculate the ES, EF, LS, LF, and TF for all other activities. Identify the critical Path.
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Part 2
• All relationships finish-start unless noted.
A10
D5
F10
B10
SS + 5
FS + 2
FS - 2
LFES EFLS
IDD
Notation:AS AF
Actual Start
Actual Duration
Dur = RD if AD>0
Dur = RD if AD=0 (activity has not started)
AD
Actual FinishFF TF
G10
H5
E20
C10
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Forward Path
A
B
C
D
E
F
G
H
FS + 2
SS + 5
FS - 2
Data Date – Day 16
April, 2010
© Construction Management Association of America. Do Not Duplicate or Reproduce. September, 2006
Exercise #2, Backward Path
A
B
C
D
E
F
G
H
FS + 2
SS + 5
FS - 2
Data Date – Day 16
April, 2010