Project Libre Lab tasks

 Lab Problem-1

Problem: Constructing a Project Dependency Graph

Scenario:

You are a project manager for a small software company, and your team is tasked with building a new e-commerce website. The project has a series of tasks, each with an estimated duration and specific prerequisites (dependencies) that must be completed before it can begin.

Your goal is to model this project as a Directed Acyclic Graph (DAG) to visually represent the workflow and help determine the critical path, which is the longest sequence of dependent tasks that defines the minimum project completion time.

Task List:

Below is a list of all the tasks for the e-commerce website project. The tasks are identified by a code (e.g., T1) and have a description, duration, and a list of immediate prerequisites.

  • T1: Setup Cloud Infrastructure

    • Duration: 3 days

    • Prerequisites: None

  • T2: Design Database Schema

    • Duration: 5 days

    • Prerequisites: T1

  • T3: Develop Backend API

    • Duration: 10 days

    • Prerequisites: T2

  • T4: Design Frontend UI/UX

    • Duration: 7 days

    • Prerequisites: T1

  • T5: Build Frontend Components

    • Duration: 12 days

    • Prerequisites: T4

  • T6: Implement Payment Gateway

    • Duration: 8 days

    • Prerequisites: T3, T5

  • T7: Write User Documentation

    • Duration: 4 days

    • Prerequisites: T5

  • T8: Deploy to Production

    • Duration: 2 days

    • Prerequisites: T6, T7


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