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CHAPTER SEVEN 
Managing Risk 
McGraw-Hill/Irwin 
Copyright © 2011 by The McGraw-Hill Companies, Inc. All 
rights reserved.
7–2 
WWWWhhhheeeerrrreeee WWWWeeee AAAArrrreeee NNNNoooowwww
RRRRiiisissskkkk MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt PPPPrrrroooocccceeeessssssss 
• Risk 
–Uncertain or chance events that planning can not 
7–3 
overcome or control. 
• Risk Management 
–A proactive attempt to recognize and manage internal 
events and external threats that affect the likelihood of 
a project’s success. 
• What can go wrong (risk event). 
• How to minimize the risk event’s impact (consequences). 
• What can be done before an event occurs (anticipation). 
• What to do when an event occurs (contingency plans).
7–4 
TTTThhhheeee RRRRiiisissskkkk EEEEvvvveeeennnntttt GGGGrrrraaaapppphhhh 
FIGURE 7.1
RRRRiiisissskkkk MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt’’’s’sss BBBBeeeennnneeeeffffiiititttssss 
• A proactive rather than reactive approach. 
• Reduces surprises and negative consequences. 
• Prepares the project manager to take advantage 
of appropriate risks. 
• Provides better control over the future. 
• Improves chances of reaching project performance 
objectives within budget and on time. 
7–5
TThhee RRiisskk 
MMaannaaggeemmeenntt 
PPrroocceessss 
TThhee RRiisskk 
MMaannaaggeemmeenntt 
PPrroocceessss 
7–6 
FIGURE 7.2
7–7 
MMMMaaaannnnaaaaggggiiininnngggg RRRRiiisissskkkk 
• Step 1: Risk Identification 
–Generate a list of possible risks through brainstorming, 
problem identification and risk profiling. 
• Macro risks first, then specific events 
• Step 2: Risk Assessment 
–Scenario analysis for event probability and impact 
–Risk assessment matrix 
–Failure Mode and Effects Analysis (FMEA) 
–Probability analysis 
• Decision trees, NPV, and PERT 
–Semiquantitative scenario analysis
The Risk Breakdown TTThhheee RRRiisisskkk BBBrrreeeaaakkkdddooowwwnnn S SSStttrtrrruuuucccctttutuuurrrreeee ( (((RRRRBBBBSSSS)))) 
7–8 
FIGURE 7.3
Partial Risk Profile for Product PPPaaarrrtttiiaiaall l RRRiisisskkk PPPrrrooofffiililelee fffooorrr PPPrrroooddduuucccttt D DDDeeeevvvveeeellololooppppmmmmeeeennnnttt t P PPPrrrroooojjejejeecccctttt 
7–9 
FIGURE 7.4
DDeeffiinneedd CCoonnddiittiioonnss ffoorr IImmppaacctt SSccaalleess ooff aa RRiisskk oonn MMaajjoorr 
PPrroojjeecctt OObbjjeeccttiivveess ((EExxaammpplleess ffoorr nneeggaattiivvee iimmppaaccttss oonnllyy)) 
Defined Conditions for Impact SSccaalleess ooff aa RRiisskk oonn MMaajjoorr 
PPrroojjeecctt OObbjjeeccttiivveess ((EExxaammpplleess ffoorr nneeggaattiivvee iimmppaaccttss oonnllyy)) 
7–10 
FIGURE 7.5
7–11 
RRRRiiisissskkkk AAAAsssssssseeeessssssssmmmmeeeennnntttt FFFFoooorrrrmmmm 
FIGURE 7.6 
Failure Mode and Effects Analysis (FMEA) 
Impact × Probability × Detection = Risk Value
7–12 
RRRRiiisissskkkk SSSSeeeevvvveeeerrrriiititttyyyy MMMMaaaattttrrrriiixixxx 
FIGURE 7.7 
Failure Mode and Effects Analysis (FMEA) 
Impact × Probability × Detection = Risk Value
7–13 
MMMMaaaannnnaaaaggggiiininnngggg RRRRiiisissskkkk ((((ccccoooonnnntttt’’’d’ddd)))) 
• Step 3: Risk Response Development 
–Mitigating Risk 
• Reducing the likelihood an adverse event will occur. 
• Reducing impact of adverse event. 
–Avoiding Risk 
• Changing the project plan to eliminate the risk or condition. 
–Transferring Risk 
• Paying a premium to pass the risk to another party. 
• Requiring Build-Own-Operate-Transfer (BOOT) provisions. 
–Retaining Risk 
• Making a conscious decision to accept the risk.
7–14 
CCCCoooonnnnttttiiininnnggggeeeennnnccccyyyy PPPPlllalaaannnnnnnniiininnngggg 
• Contingency Plan 
–An alternative plan that will be used if a possible 
foreseen risk event actually occurs. 
–A plan of actions that will reduce or mitigate the 
negative impact (consequences) of a risk event. 
• Risks of Not Having a Contingency Plan 
–Having no plan may slow managerial response. 
–Decisions made under pressure can be potentially 
dangerous and costly.
RRRRiiisissskkkk aaaannnndddd CCCCoooonnnnttttiiininnnggggeeeennnnccccyyyy PPPPlllalaaannnnnnnniiininnngggg 
• Technical Risks 
–Backup strategies if chosen technology fails. 
–Assessing whether technical uncertainties 
7–15 
can be resolved. 
• Schedule Risks 
–Use of slack increases the risk of a late project finish. 
–Imposed duration dates (absolute project finish date) 
–Compression of project schedules due to a shortened 
project duration date.
7–16 
RRRRiiisissskkkk RRRReeeessssppppoooonnnnsssseeee MMMMaaaattttrrrriiixixxx 
FIGURE 7.8
Risk and Contingency RRRiiissskkk aaannnddd CCCooonnntttiiinnngggeeennncccyyy PPPPlllalaaannnnnnnniiininnngggg ((((ccccoooonnnntttt’’’d’ddd)))) 
• Costs Risks 
–Time/cost dependency links: costs increase when 
problems take longer to solve than expected. 
–Deciding to use the schedule to solve cash flow 
problems should be avoided. 
–Price protection risks (a rise in input costs) increase if 
the duration of a project is increased. 
• Funding Risks 
–Changes in the supply of funds for the project can 
dramatically affect the likelihood of implementation or 
successful completion of a project. 
7–17
OOOOppppppppoooorrrrttttuuuunnnniiititttyyyy MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt TTTTaaaaccccttttiiicicccssss 
• Exploit 
–Seeking to eliminate the uncertainty associated with an 
7–18 
opportunity to ensure that it definitely happens. 
• Share 
–Allocating some or all of the ownership of an opportunity to 
another party who is best able to capture the opportunity for the 
benefit of the project. 
• Enhance 
– Taking action to increase the probability and/or the positive 
impact of an opportunity. 
• Accept 
–Being willing to take advantage of an opportunity if it occurs, but 
not taking action to pursue it.
Contingency CCCooonnntttiiinnngggeeennncccyyy FFFFuuuunnnnddddiiininnngggg aaaannnndddd TTTTiiimimmmeeee BBBBuuuuffffffffeeeerrrrssss 
• Contingency Funds 
–Funds to cover project risks—identified and unknown. 
7–19 
• Size of funds reflects overall risk of a project 
–Budget reserves 
• Are linked to the identified risks of specific work packages. 
–Management reserves 
• Are large funds to be used to cover major unforeseen risks 
(e.g., change in project scope) of the total project. 
• Time Buffers 
–Amounts of time used to compensate for unplanned 
delays in the project schedule. 
• Severe risk, merge, noncritical, and scarce resource activities
CCCCoooonnnnttttiiininnnggggeeeennnnccccyyyy FFFFuuuunnnndddd EEEEssssttttiiimimmmaaaatttteeee (((($$$$000000000000ssss)))) 
7–20 
TABLE 7.1
7–21 
MMMMaaaannnnaaaaggggiiininnngggg RRRRiiisissskkkk ((((ccccoooonnnntttt’’’d’ddd)))) 
• Step 4: Risk Response Control 
–Risk control 
• Execution of the risk response strategy 
• Monitoring of triggering events 
• Initiating contingency plans 
• Watching for new risks 
–Establishing a Change Management System 
• Monitoring, tracking, and reporting risk 
• Fostering an open organization environment 
• Repeating risk identification/assessment exercises 
• Assigning and documenting responsibility for managing risk
CCCChhhhaaaannnnggggeeee MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt CCCCoooonnnnttttrrrroooollll 
7–22 
• Sources of Change 
–Project scope changes 
–Implementation of contingency plans 
–Improvement changes
CCCChhhhaaaannnnggggeeee CCCCoooonnnnttttrrrroooolll l SSSSyyyysssstttteeeemmmm PPPPrrrroooocccceeeessssssss 
1. Identify proposed changes. 
2. List expected effects of proposed changes 
7–23 
on schedule and budget. 
3. Review, evaluate, and approve or disapprove 
of changes formally. 
4. Negotiate and resolve conflicts of change, 
condition, and cost. 
5. Communicate changes to parties affected. 
6. Assign responsibility for implementing change. 
7. Adjust master schedule and budget. 
8. Track all changes that are to be implemented
7–24 
TThhee CChhaannggee CCoonnttrrooll 
TThhee CChhaannggee CCoonnttrrooll 
PPrroocceessss 
PPrroocceessss 
FIGURE 7.9
BBBBeeeennnneeeeffffiiititttssss ooooffff aaaa CCCChhhhaaaannnnggggeeee CCCCoooonnnnttttrrrroooolll l SSSSyyyysssstttteeeemmmm 
1. Inconsequential changes are discouraged 
7–25 
by the formal process. 
2. Costs of changes are maintained in a log. 
3. Integrity of the WBS and performance measures 
is maintained. 
4. Allocation and use of budget and management 
reserve funds are tracked. 
5. Responsibility for implementation is clarified. 
6. Effect of changes is visible to all parties involved. 
7. Implementation of change is monitored. 
8. Scope changes will be quickly reflected in baseline 
and performance measures.
SSaammppllee CChhaannggee 
RReeqquueesstt FFoorrmm 
SSaammppllee CChhaannggee 
RReeqquueesstt FFoorrmm 
7–26 
FIGURE 7.10
CChhaannggee 
RReeqquueesstt LLoogg 
7–27 
CChhaannggee 
RReeqquueesstt LLoogg 
FIGURE 7.11
7–28 
KKKKeeeeyyyy TTTTeeeerrrrmmmmssss 
Avoiding risk 
Budget reserve 
Change management system 
Contingency plan 
Management reserve 
Mitigating risk 
Opportunity 
Risk 
Risk breakdown structure (RBS) 
Risk register 
Risk profile 
Risk severity matrix 
Scenario analysis 
Sharing risk 
Time buffer 
Transferring risk
Appendix 7.1 
PERT and 
PERT 
Simulation
PERT—P PPPEEERRRTTT———PPPrrrrooooggggrrrraaaammmm EEEEvvvvaaaallluluuuaaaattttiiioiooonnnn RRRReeeevvvviiieieeewwww TTTTeeeecccchhhhnnnniiiqiqqquuuueeee 
• Assumes each activity duration has a range that 
statistically follows a beta distribution. 
• Uses three time estimates for each activity: 
optimistic, pessimistic, and a weighted average 
to represent activity durations. 
–Knowing the weighted average and variances for each 
activity allows the project planner to compute the 
probability of meeting different project durations. 
7–30
Activity and Project AAAccctttiiivvviiitttyyy aaannnddd PPPrrrooojjjeeecccttt FFFFrrrreeeeqqqquuuueeeennnnccccyyyy DDDDiiisisssttttrrrriiibibbbuuuuttttiiioiooonnnnssss 
7–31 
FIGURE A7.1
AAAAccccttttiiivivvviiititttyyyy TTTTiiimimmmeeee CCCCaaaalllclcccuuuulllalaaattttiiioiooonnnnssss 
The weighted average activity time is computed by 
the following formula: 
7–32 
(7.1)
Activity T AAAccctttiiivvviiitttyyy TTTiiimimmmeeee CCCCaaaalllclcccuuuulllalaaattttiiioiooonnnnssss ((((ccccoooonnnntttt’’’d’ddd)))) 
The variability in the activity time estimates is 
approximated by the following equations: 
The standard deviation for the activity: 
The standard deviation for the project: 
Note the standard deviation of the activity is squared in this equation; this 
is also called variance. This sum includes only activities on the critical 
path(s) or path being reviewed. 
7–33 
(7.2) 
(7.3)
AAAAccccttttiiivivvviiititttyyyy TTTTiiimimmmeeeessss aaaannnndddd VVVVaaaarrrriiiaiaaannnncccceeeessss 
7–34 
TABLE A7.1
PPPPrrrroooobbbbaaaabbbbiiililliliititttyyyy ooooffff CCCCoooommmmppppllleleeettttiiininnngggg tttthhhheeee PPPPrrrroooojjjejeeecccctttt 
The equation below is used to compute the “Z” value found in 
statistical tables (Z = number of standard deviations from the 
mean), which, in turn, tells the probability of completing the 
project in the time specified. 
7–35 
(7.4)
7–36 
HHHHyyyyppppooootttthhhheeeettttiiicicccaaaalll l NNNNeeeettttwwwwoooorrrrkkkk 
FIGURE A7.2
HHHHyyyyppppooootttthhhheeeettttiiicicccaaaalll l NNNNeeeettttwwwwoooorrrrkkkk ((((ccccoooonnnntttt’’’d’ddd)))) 
FIGURE A7.2 (cont’d) 
7–37
7–38 
PPPPoooossssssssiiibibbbllleleee PPPPrrrroooojjjejeeecccctttt DDDDuuuurrrraaaattttiiioiooonnnn 
Probability project is completed before 
scheduled time (TS) of 67 units 
Probability project is completed 
by the 60th unit time period (TS) 
FIGURE A7.3
7–39 
ZZZZ VVVVaaaallluluuueeeessss aaaannnndddd PPPPrrrroooobbbbaaaabbbbiiililliliititttiiieieeessss 
TABLE A7.2

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Chap007

  • 1. CHAPTER SEVEN Managing Risk McGraw-Hill/Irwin Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
  • 2. 7–2 WWWWhhhheeeerrrreeee WWWWeeee AAAArrrreeee NNNNoooowwww
  • 3. RRRRiiisissskkkk MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt PPPPrrrroooocccceeeessssssss • Risk –Uncertain or chance events that planning can not 7–3 overcome or control. • Risk Management –A proactive attempt to recognize and manage internal events and external threats that affect the likelihood of a project’s success. • What can go wrong (risk event). • How to minimize the risk event’s impact (consequences). • What can be done before an event occurs (anticipation). • What to do when an event occurs (contingency plans).
  • 4. 7–4 TTTThhhheeee RRRRiiisissskkkk EEEEvvvveeeennnntttt GGGGrrrraaaapppphhhh FIGURE 7.1
  • 5. RRRRiiisissskkkk MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt’’’s’sss BBBBeeeennnneeeeffffiiititttssss • A proactive rather than reactive approach. • Reduces surprises and negative consequences. • Prepares the project manager to take advantage of appropriate risks. • Provides better control over the future. • Improves chances of reaching project performance objectives within budget and on time. 7–5
  • 6. TThhee RRiisskk MMaannaaggeemmeenntt PPrroocceessss TThhee RRiisskk MMaannaaggeemmeenntt PPrroocceessss 7–6 FIGURE 7.2
  • 7. 7–7 MMMMaaaannnnaaaaggggiiininnngggg RRRRiiisissskkkk • Step 1: Risk Identification –Generate a list of possible risks through brainstorming, problem identification and risk profiling. • Macro risks first, then specific events • Step 2: Risk Assessment –Scenario analysis for event probability and impact –Risk assessment matrix –Failure Mode and Effects Analysis (FMEA) –Probability analysis • Decision trees, NPV, and PERT –Semiquantitative scenario analysis
  • 8. The Risk Breakdown TTThhheee RRRiisisskkk BBBrrreeeaaakkkdddooowwwnnn S SSStttrtrrruuuucccctttutuuurrrreeee ( (((RRRRBBBBSSSS)))) 7–8 FIGURE 7.3
  • 9. Partial Risk Profile for Product PPPaaarrrtttiiaiaall l RRRiisisskkk PPPrrrooofffiililelee fffooorrr PPPrrroooddduuucccttt D DDDeeeevvvveeeellololooppppmmmmeeeennnnttt t P PPPrrrroooojjejejeecccctttt 7–9 FIGURE 7.4
  • 10. DDeeffiinneedd CCoonnddiittiioonnss ffoorr IImmppaacctt SSccaalleess ooff aa RRiisskk oonn MMaajjoorr PPrroojjeecctt OObbjjeeccttiivveess ((EExxaammpplleess ffoorr nneeggaattiivvee iimmppaaccttss oonnllyy)) Defined Conditions for Impact SSccaalleess ooff aa RRiisskk oonn MMaajjoorr PPrroojjeecctt OObbjjeeccttiivveess ((EExxaammpplleess ffoorr nneeggaattiivvee iimmppaaccttss oonnllyy)) 7–10 FIGURE 7.5
  • 11. 7–11 RRRRiiisissskkkk AAAAsssssssseeeessssssssmmmmeeeennnntttt FFFFoooorrrrmmmm FIGURE 7.6 Failure Mode and Effects Analysis (FMEA) Impact × Probability × Detection = Risk Value
  • 12. 7–12 RRRRiiisissskkkk SSSSeeeevvvveeeerrrriiititttyyyy MMMMaaaattttrrrriiixixxx FIGURE 7.7 Failure Mode and Effects Analysis (FMEA) Impact × Probability × Detection = Risk Value
  • 13. 7–13 MMMMaaaannnnaaaaggggiiininnngggg RRRRiiisissskkkk ((((ccccoooonnnntttt’’’d’ddd)))) • Step 3: Risk Response Development –Mitigating Risk • Reducing the likelihood an adverse event will occur. • Reducing impact of adverse event. –Avoiding Risk • Changing the project plan to eliminate the risk or condition. –Transferring Risk • Paying a premium to pass the risk to another party. • Requiring Build-Own-Operate-Transfer (BOOT) provisions. –Retaining Risk • Making a conscious decision to accept the risk.
  • 14. 7–14 CCCCoooonnnnttttiiininnnggggeeeennnnccccyyyy PPPPlllalaaannnnnnnniiininnngggg • Contingency Plan –An alternative plan that will be used if a possible foreseen risk event actually occurs. –A plan of actions that will reduce or mitigate the negative impact (consequences) of a risk event. • Risks of Not Having a Contingency Plan –Having no plan may slow managerial response. –Decisions made under pressure can be potentially dangerous and costly.
  • 15. RRRRiiisissskkkk aaaannnndddd CCCCoooonnnnttttiiininnnggggeeeennnnccccyyyy PPPPlllalaaannnnnnnniiininnngggg • Technical Risks –Backup strategies if chosen technology fails. –Assessing whether technical uncertainties 7–15 can be resolved. • Schedule Risks –Use of slack increases the risk of a late project finish. –Imposed duration dates (absolute project finish date) –Compression of project schedules due to a shortened project duration date.
  • 16. 7–16 RRRRiiisissskkkk RRRReeeessssppppoooonnnnsssseeee MMMMaaaattttrrrriiixixxx FIGURE 7.8
  • 17. Risk and Contingency RRRiiissskkk aaannnddd CCCooonnntttiiinnngggeeennncccyyy PPPPlllalaaannnnnnnniiininnngggg ((((ccccoooonnnntttt’’’d’ddd)))) • Costs Risks –Time/cost dependency links: costs increase when problems take longer to solve than expected. –Deciding to use the schedule to solve cash flow problems should be avoided. –Price protection risks (a rise in input costs) increase if the duration of a project is increased. • Funding Risks –Changes in the supply of funds for the project can dramatically affect the likelihood of implementation or successful completion of a project. 7–17
  • 18. OOOOppppppppoooorrrrttttuuuunnnniiititttyyyy MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt TTTTaaaaccccttttiiicicccssss • Exploit –Seeking to eliminate the uncertainty associated with an 7–18 opportunity to ensure that it definitely happens. • Share –Allocating some or all of the ownership of an opportunity to another party who is best able to capture the opportunity for the benefit of the project. • Enhance – Taking action to increase the probability and/or the positive impact of an opportunity. • Accept –Being willing to take advantage of an opportunity if it occurs, but not taking action to pursue it.
  • 19. Contingency CCCooonnntttiiinnngggeeennncccyyy FFFFuuuunnnnddddiiininnngggg aaaannnndddd TTTTiiimimmmeeee BBBBuuuuffffffffeeeerrrrssss • Contingency Funds –Funds to cover project risks—identified and unknown. 7–19 • Size of funds reflects overall risk of a project –Budget reserves • Are linked to the identified risks of specific work packages. –Management reserves • Are large funds to be used to cover major unforeseen risks (e.g., change in project scope) of the total project. • Time Buffers –Amounts of time used to compensate for unplanned delays in the project schedule. • Severe risk, merge, noncritical, and scarce resource activities
  • 21. 7–21 MMMMaaaannnnaaaaggggiiininnngggg RRRRiiisissskkkk ((((ccccoooonnnntttt’’’d’ddd)))) • Step 4: Risk Response Control –Risk control • Execution of the risk response strategy • Monitoring of triggering events • Initiating contingency plans • Watching for new risks –Establishing a Change Management System • Monitoring, tracking, and reporting risk • Fostering an open organization environment • Repeating risk identification/assessment exercises • Assigning and documenting responsibility for managing risk
  • 22. CCCChhhhaaaannnnggggeeee MMMMaaaannnnaaaaggggeeeemmmmeeeennnntttt CCCCoooonnnnttttrrrroooollll 7–22 • Sources of Change –Project scope changes –Implementation of contingency plans –Improvement changes
  • 23. CCCChhhhaaaannnnggggeeee CCCCoooonnnnttttrrrroooolll l SSSSyyyysssstttteeeemmmm PPPPrrrroooocccceeeessssssss 1. Identify proposed changes. 2. List expected effects of proposed changes 7–23 on schedule and budget. 3. Review, evaluate, and approve or disapprove of changes formally. 4. Negotiate and resolve conflicts of change, condition, and cost. 5. Communicate changes to parties affected. 6. Assign responsibility for implementing change. 7. Adjust master schedule and budget. 8. Track all changes that are to be implemented
  • 24. 7–24 TThhee CChhaannggee CCoonnttrrooll TThhee CChhaannggee CCoonnttrrooll PPrroocceessss PPrroocceessss FIGURE 7.9
  • 25. BBBBeeeennnneeeeffffiiititttssss ooooffff aaaa CCCChhhhaaaannnnggggeeee CCCCoooonnnnttttrrrroooolll l SSSSyyyysssstttteeeemmmm 1. Inconsequential changes are discouraged 7–25 by the formal process. 2. Costs of changes are maintained in a log. 3. Integrity of the WBS and performance measures is maintained. 4. Allocation and use of budget and management reserve funds are tracked. 5. Responsibility for implementation is clarified. 6. Effect of changes is visible to all parties involved. 7. Implementation of change is monitored. 8. Scope changes will be quickly reflected in baseline and performance measures.
  • 26. SSaammppllee CChhaannggee RReeqquueesstt FFoorrmm SSaammppllee CChhaannggee RReeqquueesstt FFoorrmm 7–26 FIGURE 7.10
  • 27. CChhaannggee RReeqquueesstt LLoogg 7–27 CChhaannggee RReeqquueesstt LLoogg FIGURE 7.11
  • 28. 7–28 KKKKeeeeyyyy TTTTeeeerrrrmmmmssss Avoiding risk Budget reserve Change management system Contingency plan Management reserve Mitigating risk Opportunity Risk Risk breakdown structure (RBS) Risk register Risk profile Risk severity matrix Scenario analysis Sharing risk Time buffer Transferring risk
  • 29. Appendix 7.1 PERT and PERT Simulation
  • 30. PERT—P PPPEEERRRTTT———PPPrrrrooooggggrrrraaaammmm EEEEvvvvaaaallluluuuaaaattttiiioiooonnnn RRRReeeevvvviiieieeewwww TTTTeeeecccchhhhnnnniiiqiqqquuuueeee • Assumes each activity duration has a range that statistically follows a beta distribution. • Uses three time estimates for each activity: optimistic, pessimistic, and a weighted average to represent activity durations. –Knowing the weighted average and variances for each activity allows the project planner to compute the probability of meeting different project durations. 7–30
  • 31. Activity and Project AAAccctttiiivvviiitttyyy aaannnddd PPPrrrooojjjeeecccttt FFFFrrrreeeeqqqquuuueeeennnnccccyyyy DDDDiiisisssttttrrrriiibibbbuuuuttttiiioiooonnnnssss 7–31 FIGURE A7.1
  • 32. AAAAccccttttiiivivvviiititttyyyy TTTTiiimimmmeeee CCCCaaaalllclcccuuuulllalaaattttiiioiooonnnnssss The weighted average activity time is computed by the following formula: 7–32 (7.1)
  • 33. Activity T AAAccctttiiivvviiitttyyy TTTiiimimmmeeee CCCCaaaalllclcccuuuulllalaaattttiiioiooonnnnssss ((((ccccoooonnnntttt’’’d’ddd)))) The variability in the activity time estimates is approximated by the following equations: The standard deviation for the activity: The standard deviation for the project: Note the standard deviation of the activity is squared in this equation; this is also called variance. This sum includes only activities on the critical path(s) or path being reviewed. 7–33 (7.2) (7.3)
  • 34. AAAAccccttttiiivivvviiititttyyyy TTTTiiimimmmeeeessss aaaannnndddd VVVVaaaarrrriiiaiaaannnncccceeeessss 7–34 TABLE A7.1
  • 35. PPPPrrrroooobbbbaaaabbbbiiililliliititttyyyy ooooffff CCCCoooommmmppppllleleeettttiiininnngggg tttthhhheeee PPPPrrrroooojjjejeeecccctttt The equation below is used to compute the “Z” value found in statistical tables (Z = number of standard deviations from the mean), which, in turn, tells the probability of completing the project in the time specified. 7–35 (7.4)
  • 36. 7–36 HHHHyyyyppppooootttthhhheeeettttiiicicccaaaalll l NNNNeeeettttwwwwoooorrrrkkkk FIGURE A7.2
  • 37. HHHHyyyyppppooootttthhhheeeettttiiicicccaaaalll l NNNNeeeettttwwwwoooorrrrkkkk ((((ccccoooonnnntttt’’’d’ddd)))) FIGURE A7.2 (cont’d) 7–37
  • 38. 7–38 PPPPoooossssssssiiibibbbllleleee PPPPrrrroooojjjejeeecccctttt DDDDuuuurrrraaaattttiiioiooonnnn Probability project is completed before scheduled time (TS) of 67 units Probability project is completed by the 60th unit time period (TS) FIGURE A7.3
  • 39. 7–39 ZZZZ VVVVaaaallluluuueeeessss aaaannnndddd PPPPrrrroooobbbbaaaabbbbiiililliliititttiiieieeessss TABLE A7.2