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The critical path duration of the network - GATE PDF Download
Consider the following PERT network:The optimistic time, most likely time and pessimistic time of all the activities are given in the table below: 
The critical path duration of the network (in days) is:a)11b)14c)17d)18Correct answer is option 'D'. Can you explain this answer?
Ref: https://edurev.in/question/572789/Consider-the-following-PERT-networkThe-optimistic-time-most-likely-time-and-pessimistic-time-of-all
hence path 1 – 3 – 5 – 6 – 7 is the critical path, which has 18 days of expected completion time
FAQs on The critical path duration of the network - GATE
| 1. What is the GATE exam and how is it related to critical path duration? |  |
Ans. The GATE exam stands for Graduate Aptitude Test in Engineering. It is an entrance exam conducted for postgraduate programs in engineering and science. The critical path duration refers to the longest path in a project network diagram that determines the shortest possible time to complete the project. In the context of GATE, understanding critical path duration can be important for project management-related questions in the exam.
| 2. How is the critical path duration calculated in the GATE exam? | |
Ans. To calculate the critical path duration in the GATE exam, you need to first create a project network diagram. Then, determine the duration of each activity and identify the dependencies between activities. After that, perform a forward pass and backward pass calculation to determine the earliest start and finish times, as well as the latest start and finish times for each activity. The critical path is the path with the longest total duration, which can be identified by comparing the earliest and latest finish times of each activity.
| 3. What is the significance of the critical path duration in project management, particularly in the GATE exam? | |
Ans. The critical path duration is significant in project management as it helps in identifying the activities that have no flexibility in terms of time. Any delay in the critical path activities will directly impact the project's overall duration. In the GATE exam, understanding the significance of critical path duration can help in answering questions related to project scheduling, resource allocation, and project completion time prediction.
| 4. Are there any techniques or tools used to analyze and manage the critical path duration in the GATE exam? | |
Ans. Yes, there are various techniques and tools used to analyze and manage the critical path duration in the GATE exam. One commonly used technique is the Critical Path Method (CPM), which involves creating a project network diagram, determining activity durations and dependencies, and calculating the critical path. Additionally, project management software like Microsoft Project can be utilized to visualize and analyze the critical path, allowing for efficient management of project schedules.
| 5. Can you provide an example of how the critical path duration can affect project timelines in the GATE exam? | |
Ans. Certainly! Let's say in the GATE exam, a project involves three activities: A, B, and C. The duration of activity A is 5 days, activity B is 3 days, and activity C is 4 days. The dependency is such that A must be completed before B can start, and B must be completed before C can start. In this case, the critical path duration would be 12 days, as it takes the longest time to complete all activities. If any of these activities on the critical path is delayed by a day, the overall project completion time will also be delayed by a day.
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