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PERT/CPM CALCULATIONS Basic Techniques Using MS Excel  And Manual Calculation URBS 609 PERT, Unit 2
About This Training Module ,[object Object],[object Object],[object Object],[object Object],This Unit of Instruction was crafted by Robert Hugg For Minnesota State University, Mankato  Urban and Regional Studies Institute - 2004
Training Module Preview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Calculations - Simplicity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Calculations – Step 3 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Calculations – Step 3 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Calculations – Step 3 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Our Project – A Refresher Set up in visual form it might look like this… Set up in tabular form, it might look like this… ? Install Edging 8 ? Buy Edging 7 ? Plant Flowers 6 ? Plant Trees 5 ? Buy Flowers 4 ? Buy Trees  3 ? Dig Holes 2 ? Mark Utilities 1 Duration (Days) Description TASK ID
PERT Step 3 – First Get Organized In considering all tasks on the previous slide, a table might look like this T O -Optimistic  T M -Likely  T P -Pessimistic  T E -Expected (Derived by PERT) Remember – tasks 3, 4 and 7 are concurrent and do not add to the timeline TOTAL 7 4 3 T E T P T L T O TASK OTHER PROJECT TASKS TOTAL 8 6 5 2 1 T E T P T L T O TASK CRITICAL PATH TASKS  (Longest Duration)
PERT Step 3 – Durations ,[object Object],T O -Optimistic  T M -Likely  T P -Pessimistic  T E -Expected (Derived by PERT) SD=Standard Deviation  V=Variance .51 1.26 3.75 9 3 1.5 TOTAL .17 .42 1.25 3 1 .5 7 .17 .42 1.25 3 1 .5 4 .17 .42 1.25 3 1 .5 3 V SD T E T P T L T O TASK OTHER PROJECT TASKS 2.51 3.5 15.6 28 15 7 TOTAL .25 .5 2.17 4 2 1 8 .44 .67 3 5 3 1 6 .69 .83 3.17 6 3 1 5 .69 .83 4.17 7 4 2 2 .44 .67 3 5 3 1 1 V SD T E T P T L T O TASK CRITICAL PATH TASKS  (Longest Duration)
PERT Step 4  – Dates ES=Earliest Start EF=  Earliest Finish  LS=Latest Start  LF=Latest Finish For each task, determine the latest allowable time for moving to the next task  The difference between latest time and expected time is   called  slack time   Tasks with zero slack time are on the critical path .51 1.26 3.75 9 3 1.5 TOTAL .17 .42 3 5.50 4.25 2.50 1.25 1.25 3 1 .5 7 .17 .42 3 4.25 3 1.25 0 1.25 3 1 .5 4 .17 .42 3 4.25 3 1.25 0 1.25 3 1 .5 3 V SD FLOAT LF LS EF ES T E T P T L T O TASK OTHER PROJECT TASKS 2.530 3.5 15.51 28 15 7 TOTAL .254 .5 0 15.17 13 15.17 13 2.17 4 2 1 8 .444 .67 0 13 10 13 10 3 5 3 1 6 .694 .83 0 10.17 7 10.17 7 3.17 6 3 1 5 .694 .83 0 7.17 3 7.17 3 4.17 7 4 2 2 .444 .67 0 3 0 3 0 3 5 3 1 1 V SD Slack LF LS EF ES T E T P T L T O TASK CRITICAL PATH TASKS  (Longest Duration)
PERT Step 5  – Probabilities ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Manually computing probability using data compiled in your table
PERT Step 5  – Probabilities    Computing probability in Excel using data compiled in your table ,[object Object],[object Object],[object Object]
PERT Step 5  – Probabilities    Computing probability in Excel using data compiled in your table
Constructing the Spreadsheet Step 1 - Create a spreadsheet that resembles the table used earlier
Constructing the Spreadsheet Step 2 – Use formulae as shown to calculate PERT Expectations
Constructing the Spreadsheet     Cell Formulae used for PERT Analysis- expected durations ,[object Object],[object Object],[object Object]
Constructing the Spreadsheet Step 3 – Use formulae as shown to calculate variances
Constructing the Spreadsheet     Cell Formulae used for PERT Analysis – Variances ,[object Object],[object Object],[object Object],[object Object]
Constructing the Spreadsheet Step 4 – Use formulae as shown to calculate STD. Deviations
Constructing the Spreadsheet     Cell Formulae used for PERT Analysis – Standard Deviations ,[object Object],[object Object],[object Object],[object Object]
Constructing the Spreadsheet Step 5 – Use formula as shown to sum PERT expectations
Constructing the Spreadsheet     Cell Formula used for PERT Analysis – Summing PERT Expectations ,[object Object]
Constructing the Spreadsheet Step 6 – Use formula as shown to sum variances
Constructing the Spreadsheet     Cell Formula used for PERT Analysis – Summing Variances ,[object Object]
Constructing the Spreadsheet Step 6 – Use formula as shown to compute probability
Constructing the Spreadsheet     Cell Formula used for PERT Analysis – Completion Probability ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Constructing the Spreadsheet     Cell Formula used for PERT Analysis – Hints and Tips ,[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Analysis     Thoughts, Philosophy and Lessons Learned ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CPM Analysis   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CPM Analysis ,[object Object],[object Object],1333 4000 3 4000 8000 4 1 3 2 Frame 1000 1000 1 3000 4000 2 1 2 1 Foundation Cost / Week Cost Increase Time  Saved Cost (Normal) Cost (Crashed) Time (Normal) Time (Crashed) End Begin Activity
CPM Analysis     Thoughts, Philosophy and Lessons Learned ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Use PERT and CPM Together ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PM Calculations Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Resources Used in This Unit ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],This Unit of Instruction was crafted by Robert Hugg For Minnesota State University, Mankato  Urban and Regional Studies Institute - 2004

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Pert2

  • 1. PERT/CPM CALCULATIONS Basic Techniques Using MS Excel And Manual Calculation URBS 609 PERT, Unit 2
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Our Project – A Refresher Set up in visual form it might look like this… Set up in tabular form, it might look like this… ? Install Edging 8 ? Buy Edging 7 ? Plant Flowers 6 ? Plant Trees 5 ? Buy Flowers 4 ? Buy Trees 3 ? Dig Holes 2 ? Mark Utilities 1 Duration (Days) Description TASK ID
  • 9. PERT Step 3 – First Get Organized In considering all tasks on the previous slide, a table might look like this T O -Optimistic T M -Likely T P -Pessimistic T E -Expected (Derived by PERT) Remember – tasks 3, 4 and 7 are concurrent and do not add to the timeline TOTAL 7 4 3 T E T P T L T O TASK OTHER PROJECT TASKS TOTAL 8 6 5 2 1 T E T P T L T O TASK CRITICAL PATH TASKS (Longest Duration)
  • 10.
  • 11. PERT Step 4 – Dates ES=Earliest Start EF= Earliest Finish LS=Latest Start LF=Latest Finish For each task, determine the latest allowable time for moving to the next task The difference between latest time and expected time is called slack time Tasks with zero slack time are on the critical path .51 1.26 3.75 9 3 1.5 TOTAL .17 .42 3 5.50 4.25 2.50 1.25 1.25 3 1 .5 7 .17 .42 3 4.25 3 1.25 0 1.25 3 1 .5 4 .17 .42 3 4.25 3 1.25 0 1.25 3 1 .5 3 V SD FLOAT LF LS EF ES T E T P T L T O TASK OTHER PROJECT TASKS 2.530 3.5 15.51 28 15 7 TOTAL .254 .5 0 15.17 13 15.17 13 2.17 4 2 1 8 .444 .67 0 13 10 13 10 3 5 3 1 6 .694 .83 0 10.17 7 10.17 7 3.17 6 3 1 5 .694 .83 0 7.17 3 7.17 3 4.17 7 4 2 2 .444 .67 0 3 0 3 0 3 5 3 1 1 V SD Slack LF LS EF ES T E T P T L T O TASK CRITICAL PATH TASKS (Longest Duration)
  • 12.
  • 13.
  • 14. PERT Step 5 – Probabilities Computing probability in Excel using data compiled in your table
  • 15. Constructing the Spreadsheet Step 1 - Create a spreadsheet that resembles the table used earlier
  • 16. Constructing the Spreadsheet Step 2 – Use formulae as shown to calculate PERT Expectations
  • 17.
  • 18. Constructing the Spreadsheet Step 3 – Use formulae as shown to calculate variances
  • 19.
  • 20. Constructing the Spreadsheet Step 4 – Use formulae as shown to calculate STD. Deviations
  • 21.
  • 22. Constructing the Spreadsheet Step 5 – Use formula as shown to sum PERT expectations
  • 23.
  • 24. Constructing the Spreadsheet Step 6 – Use formula as shown to sum variances
  • 25.
  • 26. Constructing the Spreadsheet Step 6 – Use formula as shown to compute probability
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36.