W2_Nasser_ Estimating Time Required for Processing a Monthly Invoices using 3 Point Time Estimating (PERT)


A part of my 2017 individual KPI in my department, Client Contracts & Interface Department (CCI), is processing 3 monthly invoices (being A, B & C) contributing 35% in my overall KPI score. The 3 monthly invoices normally received from Power and Water Plants during the operation period by the beginning of every month and to be processed at least within 20 days from the receipt date.

As “My Time is My Cost” I am going to use a famous concept named “Three-Point Estimate Techniques “ to find out the estimated/expected time required for Processing an invoice, assuming that all 3 invoices will take the same duration.

2.      Identify the Feasible Alternative


The Three Point Estimate technique is used to arrive at a better estimate of the time required to complete a particular activity, work package, and can be rolled up to the entire project. Further, this technique can be used for Time as well as Cost. The following 2 methodologies can be used:
  • A Simple Mean, or Triangular Estimate
  • A Weighted Average, or Beta Distribution
Figure1: BETA vs. Triangular Distribution

For deriving the estimated duration for the full process, the following 3 estimated time durations will be figured out:

o   The most optimistic (tO): case where everything goes right
o   The most likely (tM): case given normal problems and opportunities
o   The most pessimistic (tP): case when everything goes wrong



3.      Development of the Outcome for Alternative

Step1: All main activities included in the process of A, B & C monthly invoices are listed below:

1.      Outage Confirmation letter (P+W)
2.      FDM Run
3.      Check Sheet Preparation
4.      ONF Verification (P+W)
5.      Start-Up Verification
6.      Joint Reading Data Inputs (P+W)
7.      Final Completion & Finishing
8.      1st Senior Review
9.      2nd Senior Review
10.   Line Manager Review
11.   Director Review & submit to Finance

Step2: Based on experience & historical information the (tO, tM & tP) time durations for each activity were identified.

Step3: Calculating Weighted Average (Estimated Mean) for each activity. It is calculated by a formula:
Using Triangular Estimate → Mean =(P+M+O)/3
Using Beta Distribution PERT =(P+4M+O)/6

Step4: calculating Standard Deviation for each activity. It is calculated by a formula:


Using Triangular Estimate → Activity Standard Deviation (σ) = (P-O)/3
Using Beta Distribution Activity Standard Deviation (σ) = (P-O)/6

Step5: calculating Variance for each activity. It is calculated by a formula:

Using Triangular Estimate → Activity Variance = σ2= ((P-O)/3) ^2
Using Beta Distribution → Activity Variance = σ2= ((P-O)/3) ^2


Step6: for total monthly invoice process sum up all activities value got in Step 3,4&5.



4.      Selection Criteria:

The estimated time should be:

-         With Lower chance (probability) for best case and worst case to occur
-         Reasonable
-         Reliable
-         Reflecting risk or uncertainty associated with schedule

-         Not far from the most likely time duration


3.      Analysis and Comparison of the Alternative:

Table1: Monthly Invoice time estimated using Triangular Estimate



Table2: Monthly Invoice time estimated using PERT Estimate



5.      Analysis and Comparison of the Alternative

The Estimated Time duration required for processing the invoice, using the 2 methodologies, was found as below:

-         Using Triangular Estimate; it is 19.16 hours duration
-         Using Beta Distribution; it is 18.52 hours duration

5.     Selection of the Preferred Alternative

The methodology preferred is Beta Distribution. It is a commonly used weighting might be – there is less chance of the worst case or the best case happening. In good faith, most likely estimate (M), is what it will take to get the invoice processed.

6.      Performance Monitoring and the Post Evaluation of Result

This estimated cost will be embodied in my monthly schedule to be used as a base time reference for better management of my time. If our Organizational Process Asset (OPA) for processing the invoice got changed , then a new time estimate analysis shall be required at that time.


7.      Reference:








Comments

  1. Hi Nasser, bad news..... I am going to REJECT your blog as you made a FATAL ERROR in your calculations. You CANNOT add up the Standard Deviations in a string of activities as you have done. What you have to do is add up the VARIANCES of each activity and then find the square root of the sum of the variances.

    You need to RECALCULATE Tables 1 and 2 and then REPOST your corrected results as a W2.1.

    For more on this, go here- https://apcentral.collegeboard.org/courses/ap-statistics/classroom-resources/why-variances-add-and-why-it-matters?course=ap-statistics

    BR,
    Dr. PDG, Jakarta

    ReplyDelete
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