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PERT Analysis in Projects


Ricardo Viana Vargas, MSc, IPMA-B, PMP
ricardo.vargas@macrosolutions.com.br

                  © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Ricardo Viana Vargas, MSc, IPMA-B, PMP
Ricardo Viana Vargas is a project, portfolio and risk management specialist. During the past 15 years, he has been responsible
for over 80 major projects in various countries in the areas of petroleum, energy, infrastructure, telecommunications,
information technology and finances, comprising an investment portfolio of over 18 billion dollars.


He was the first Latin American volunteer to be elected Chairman of the Board for the Project Management Institute
(PMI), the largest project management organization in the world with close to 500,000 members and certified professionals in
175 countries.

Ricardo Vargas has written ten books on project management, published in Portuguese and English, which have sold over
200,000 copies throughout the world. In 2005 he received the PMI Distinguished Award for his contribution to the
development of project management and the PMI Professional Development Product of the Year award for the PMDome®
workshop, considered the best project management training solution in the world.

He is a project management professor for various MBA courses, and actively participates on editorial boards for specialized
journals in Brazil and the United States. Vargas is a recognized reviewer of the PMBOK Guide, the most important reference in
the world for project management, and also chaired the official translation of PMBOK into Portuguese.

He is a chemical engineer and holds a master’s degree in Industrial Engineering from UFMG (Federal University of Minas
Gerais). Ricardo Vargas also holds a Master Certificate in Project Management from George Washington University and is
certified both as a Project Management Professional (PMP) by PMI and as IPMA-B by the International Project Management
Association. He attended the Program on Negotiation for Executives at Harvard Law School.

Over an eleven year timeframe, which began in 1995, Ricardo, in conjunction with two partners, established one of the most
solid Brazilian businesses in the area of technology, project management and outsourcing, which had a staff of 4,000
collaborators and an annual income of 50 million dollars in 2006, when Ricardo Vargas sold his share of the company to
dedicate himself on a fulltime basis to the internationalization of his project management activities.

He is a member of the Association for Advancement of Cost Engineering (AACE), the American Management Association
(AMA), the International Project Management Association (IPMA), the Institute for Global Ethics and the Professional Risk
Management International Association (PRMIA).

                                                                                                                                 2
                      © BY MACROSOLUTIONS SA. TODOS OS DIREITOS RESERVADOS
PERT Analysis

   Use of three parameters to calculate
   the average time to finish an activity.

          The 3 parameters are:
    Most Optimistic    Most Probable                         Most Pessimist
   (Opt) – Assumes (Est) – Assumes                          (Pes) – Assumes
   the best scenario       normal                              the worst
        for the         conditions to                       scenario for the
      conclusion.    finish the activity.                     conclusion.


         © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
PERT Benefits


         The PERT Analysis provides
       approximating estimates using
       a relatively simple calculation
         process that allows better
       results than other techniques.




       © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
PERT Calculation Process

  The expected duration is calculated as




  The expected duration also takes the non-productive time into
  consideration




           © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Standard Deviation
The standard deviation of an activity duration is calculated by subtracting
the pessimistic duration from the optimistic duration, divided into 6




 The variance is the squared standard deviation




            © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Central Limit Theorem
It says that the total variance of the critical path is the sum of the
variances of its constituent activities




The standard deviation of the critical path is the square root of the
critical path’s variance




            © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Probabilities

 Duration= Dur Esp + X . Std Dev
 • Where X is the number of standard deviations


  Number of standard          Prob < Upper Limit           Prob between LL and UL
     deviations

                  1,282                         90,00%                    80,00%
                  1,645                         95,00%                    90,00%
                  1,960                         97,50%                    95,00%
                  2,325                         99,00%                    97,99%
                  3,300                         99,95%                    99,90%


          © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Example




      © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Calculating the Expected Duration




       © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Determining the Critical Path




        © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Calculating the Standard Deviation and Variance




       © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
Visit
   www.ricardo-vargas.com
        to access other
presentations, podcasts, videos
  and technical content about
   project , risk and portfolio
         management.

           © BY MACROSOLUTIONS SA

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PERT Analysis Projects

  • 1. PERT Analysis in Projects Ricardo Viana Vargas, MSc, IPMA-B, PMP ricardo.vargas@macrosolutions.com.br © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 2. Ricardo Viana Vargas, MSc, IPMA-B, PMP Ricardo Viana Vargas is a project, portfolio and risk management specialist. During the past 15 years, he has been responsible for over 80 major projects in various countries in the areas of petroleum, energy, infrastructure, telecommunications, information technology and finances, comprising an investment portfolio of over 18 billion dollars. He was the first Latin American volunteer to be elected Chairman of the Board for the Project Management Institute (PMI), the largest project management organization in the world with close to 500,000 members and certified professionals in 175 countries. Ricardo Vargas has written ten books on project management, published in Portuguese and English, which have sold over 200,000 copies throughout the world. In 2005 he received the PMI Distinguished Award for his contribution to the development of project management and the PMI Professional Development Product of the Year award for the PMDome® workshop, considered the best project management training solution in the world. He is a project management professor for various MBA courses, and actively participates on editorial boards for specialized journals in Brazil and the United States. Vargas is a recognized reviewer of the PMBOK Guide, the most important reference in the world for project management, and also chaired the official translation of PMBOK into Portuguese. He is a chemical engineer and holds a master’s degree in Industrial Engineering from UFMG (Federal University of Minas Gerais). Ricardo Vargas also holds a Master Certificate in Project Management from George Washington University and is certified both as a Project Management Professional (PMP) by PMI and as IPMA-B by the International Project Management Association. He attended the Program on Negotiation for Executives at Harvard Law School. Over an eleven year timeframe, which began in 1995, Ricardo, in conjunction with two partners, established one of the most solid Brazilian businesses in the area of technology, project management and outsourcing, which had a staff of 4,000 collaborators and an annual income of 50 million dollars in 2006, when Ricardo Vargas sold his share of the company to dedicate himself on a fulltime basis to the internationalization of his project management activities. He is a member of the Association for Advancement of Cost Engineering (AACE), the American Management Association (AMA), the International Project Management Association (IPMA), the Institute for Global Ethics and the Professional Risk Management International Association (PRMIA). 2 © BY MACROSOLUTIONS SA. TODOS OS DIREITOS RESERVADOS
  • 3. PERT Analysis Use of three parameters to calculate the average time to finish an activity. The 3 parameters are: Most Optimistic Most Probable Most Pessimist (Opt) – Assumes (Est) – Assumes (Pes) – Assumes the best scenario normal the worst for the conditions to scenario for the conclusion. finish the activity. conclusion. © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 4. PERT Benefits The PERT Analysis provides approximating estimates using a relatively simple calculation process that allows better results than other techniques. © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 5. PERT Calculation Process The expected duration is calculated as The expected duration also takes the non-productive time into consideration © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 6. Standard Deviation The standard deviation of an activity duration is calculated by subtracting the pessimistic duration from the optimistic duration, divided into 6 The variance is the squared standard deviation © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 7. Central Limit Theorem It says that the total variance of the critical path is the sum of the variances of its constituent activities The standard deviation of the critical path is the square root of the critical path’s variance © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 8. Probabilities Duration= Dur Esp + X . Std Dev • Where X is the number of standard deviations Number of standard Prob < Upper Limit Prob between LL and UL deviations 1,282 90,00% 80,00% 1,645 95,00% 90,00% 1,960 97,50% 95,00% 2,325 99,00% 97,99% 3,300 99,95% 99,90% © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 9. Example © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 10. Calculating the Expected Duration © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 11. Determining the Critical Path © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 12. Calculating the Standard Deviation and Variance © BY RICARDO VIANA VARGAS. TODOS OS DIREITOS RESERVADOS
  • 13. Visit www.ricardo-vargas.com to access other presentations, podcasts, videos and technical content about project , risk and portfolio management. © BY MACROSOLUTIONS SA