Critical Time and Backflow Algorithm

This video tutorial introduces the backflow and critical path algorithms, focusing on creating a priority list using the backflow algorithm. It explains the steps involved in the backflow algorithm, provides an example of its application, and demonstrates how to create a priority list based on critical times. The tutorial emphasizes the importance of selecting the longest critical time when multiple paths are available.

What is the main purpose of the Backflow Algorithm in the context of the Critical Path Algorithm?

• To eliminate unnecessary tasks in a project

• To work backwards from the end to assign critical times

• To work from the start to the end of a project

• To find the shortest path in a graph

In the Backflow Algorithm, what is the first step?

• Identify all tasks with no dependencies

• Calculate the total project time

• Introduce an end vertex with a time of zero

• Assign a critical time to the start vertex

When assigning critical times, what should you do if a vertex already has a critical time?

• Replace it only if the new time is larger

• Replace it with the new time if it's smaller

• Average the old and new times

• Keep the original time regardless

What is the next step after completing the Backflow Algorithm?

• Create a schedule based on task durations

• List tasks in order of their critical times

• Re-evaluate the project scope

• Assign resources to each task

In the final example, which task has the highest critical time?

• Task 1

• Task 2

• Task 3

• Task 4

What is the critical time for Task 5 in the example provided?

• 10 hours

• 15 hours

• 17 hours

• 19 hours

How are tasks with the same critical time typically ordered in the priority list?

• By the task with the lowest number

• By the task with the highest number

• By the shortest task duration

• Randomly

What is the critical time for Task 6 in the example?

• 21 hours

• 26 hours

• 24 hours

• 19 hours

Which task is listed last in the priority list?

• Task 9

• Task 8

• Task 10

• Task 4

What is the critical time for Task 2 in the example?

• 28 hours

• 26 hours

• 24 hours

• 22 hours