
Here is a brief video about myself, CA. Pradip Kumar Ghosh, your instructor.
For the sake of colloquialism, the words “Activities” and “Jobs” have been used to convey the same meaning in my lectures and have been used alternatively.
If one strictly interprets, there can be several jobs or sub-activities inside an activity, which is not the meaning here.
Here you consider the words “Activities” and “Jobs” meaning one and the same thing.
Two types of CPM charts can be drawn, Activity on Node (AON) and Activity on Arrow (AOA). AON charts according to me are rather easy to draw than AOA charts. I shall start here with an AOA chart which has a single job at the start. A downloadable PDF file has also been provided.
Here I am explaining a concept called "Dummy Activity". Dummy activities are not required for preparation of AON charts. They are only required for preparation of AOA chart. Since my next lecture will be on AOA chart, I am giving here a brief idea of the concept of dummy activities.
In an earlier lecture I had shown how to create AON diagram for a project, which has a single job at start. In the next lecture I had discussed about dummy activities. In this lecture I am picking up again exactly the same problem as earlier, but I am trying to solve it with an AOA diagram. Here you will see the use of dummy activities also, which was discussed earlier. For AOA charts dummy activities are required, which was not required in the AON charts.
Here I am stepping into a new project with multiple jobs at the start itself. It is a little more complicated than the earlier project. I shall be using AON technique to create the diagram for this project. Since it has multiple independent jobs at start, the number of paths in this solution will be more. It needs that much more care to determine the critical path.
The same project which I covered in the last lecture, drawing the AON diagram, will now be solved using AOA diagram. As you know AOA diagram are more difficult to draw than AON diagram because of the need to attach dummy jobs in certain cases. Please watch.
Henry Gantt discovered Gantt Chart in 1910. Even today this is used to analyze project implementation time. In fact many Project Management Softwares also use basic frameworks which look kike Gantt Chart. Gantt Chart is so simple and yet so powerful. Here I have created Gantt Chart frame work in Excel. The file can be downloaded from the resources section. With the help of a dynamic Gantt Chart here I have explained the influence of Critical Path on the project completion time and has also provided another way of identifying critical and non-critical activities of a project.
There can be more than one critical paths in a single project and with change in the duration of activities, critical path can change also.
This lecture and next two are taking you to the depth of the subject, by introducing to you the concept of floats and methods of calculation of them. Floats apply to only activities which are not on the critical path.
Here I am introducing you to the concepts of Early start, Late start, Early Finish and Finish and teaching you how to calculate them step by step. These four calculations will ultimately take you to the calculation of Free Float and Total Float in the next lecture.
In the earlier lecture we have covered Early Start (ES), Early Finish (EF), Late Start (LS) and Late Finish (LF). Now those data will be used first to calculate the Total Float (TF) and then to calculate Free Float(FF) . This will help us to identify which are the jobs that are on critical path. In fact in those jobs both TF and FF will be zero. The jobs that are not on critical path can have different FF and TF. FF is a sub set of TF So FF can not be greater than TF.
Here I am showing you how to validate the Critical path, Total Float and Free Float by using the Excel model that you have downloaded earlier. Here in the resources section, I am giving the same file so that you can download it again.
Here I am explaining a CPM simulation module in Excel which you can download from the resource section and use it. You need not be a Excel expert to use it. There are only certain cells in the model relating to time dimension of each activity, which you can change and see the effect on the overall project. In certain case your experiment may reduce or increase the date of completion of the project and in certain cases it can even change the critical path.
In this lecture I am explaining the basics of PERT or Program Evaluation and Review Techniques. This concept will be reflected later in numerical problems in later lectures.
Here I have taken a PERT related question from a University examination and solved the same before your eyes. I have used Excel for calculation, but you can use calculators also to do the same calculation. The line diagrams shown there can also be drawn by hands. I have also uploaded the calculation as a PDF file in the resource section of this lecture.
The last lecture had Activities on Node (AON). Although I am a get believer of AON, my training will remain incomplete if I do not convert this AON into Activities on Arrows (AOA). This is exactly what I have done in this lecture.
In this lecture I am trying to give you an idea on how targets are fixed in a PERT environment and the same is communicated to the team with an upper and a lower time threshold, so that everyone is in sync with the implementation of the project.
In this lecture the concept of crashing of project duration is being discussed. In the next lesson you will see the numerical examples.
Here I am explaining the concept of cost slopes, which are so essential for setting priorities for crashing of jobs or activities on the critical path.
While you crash a project, you incur additional expenses. That is why we calculated cost slopes in the last lecture. But there is also a saving. You save in terms of administrative cost which is normally a fixed amount per unit of time. Suppose your project is implemented in weeks and you have a weekly admin expense of 100, if you crash the project for 5 weeks, you incur some extra expense, but you also save 100 x 5 = 500.
In this lecture I have explained step by step crashing of project duration. Here you will also see how critical path changes during crashing of project duration. The relevant model can be downloaded from the resource section of this lecture.
Here I have provided links to my other useful courses.
I am a Chartered Accountant and LL.B. who has seen both sides of the life. I have worked in senior capacity with large companies in India and Europe. Post retirement from corporate life I have also worked as an MBA faculty in a NAAC A grade institution. I have experienced Project Management in corporate life. I have also taught PERT and CPM to my MBA students for several years.
Here, in this course I am addressing the Networking Techniques. i.e. CPM, PERT and GANTT Chart for the use of students.
You can practise in manual methods. Simultaneously I am giving you an Excel tool, which you can download and use. You can play with it, simulate different situations and learn. If you do not know Excel, no problem, because I am teaching you the manual methods also.
My attempt, over the years has been to teach without using jargons and mathematical notations, so that the student without any math background can also understand the algorithm easily.
A networking problem in Operations Research is a very large topic. Out of these, the Critical Path Method (CPM) and the Project Evaluation and Review Technique (PERT) and GANTT Chart have been covered at length. At the beginning of the course, a detailed method of drawing the network has been explained at length. Here you will understand the ‘Precedence Relationship’ between the activities. These have been done using two processes, Activity on Node (AON) and Activity on Line (AOL), and within them two more sub-types, Single Activity at start, and Multiple concurrent activities at Start. Movement from CPM to PERT has been kept as smooth as possible using the concept of probabilistic durations. This is towards the end of the course.
You can download all the manual diagrams from the resource section of the relevant lectures.
If you are an Excel fan, you can download the two Excel models provided.
I hope the students like this course and spread it to friends so that more and more people join the course.
The pricing has been kept towards the lower end for more students to benefit from.
If you like the course, do not forget to give your rating, as this will go a long way to inspire me to bring more courses to you.
Best wishes and happy learning.
CA. Pradip Kumar Ghosh