Lab Problems 4 and 5

Lab Problem-4

Problem: Constructing a Product Launch Dependency Graph

Scenario:

You are part of a marketing team preparing for a new product launch. The launch involves several key activities, each with its own estimated duration and specific prerequisites. To ensure a smooth and timely launch, you need to model these activities as a Directed Acyclic Graph (DAG) to visualize the workflow and identify dependencies. This visual representation will be crucial for understanding the project's flow and later determining the critical path.

Your Goal:

Model the product launch activities as a Directed Acyclic Graph (DAG), representing each activity as a node and dependencies as directed edges. Clearly state the nodes (activities) and their durations, along with the edges (prerequisites).

Activity List:

  • A1: Market Research Analysis

    • Duration: 4 days

    • Prerequisites: None

  • A2: Product Feature Definition

    • Duration: 6 days

    • Prerequisites: A1

  • A3: Marketing Material Creation

    • Duration: 9 days

    • Prerequisites: A2

  • A4: Website Landing Page Development

    • Duration: 8 days

    • Prerequisites: A2

  • A5: Social Media Campaign Planning

    • Duration: 5 days

    • Prerequisites: A3

  • A6: PR Outreach & Press Release Drafting

    • Duration: 7 days

    • Prerequisites: A3

  • A7: Final Website Launch & Testing

    • Duration: 3 days

    • Prerequisites: A4, A5

  • A8: Post-Launch Performance Monitoring

    • Duration: 2 days

    • Prerequisites: A6, A7


Lab Problem-5

Problem: Calculating Earliest Start and Finish Times for a Research Project

Scenario:

You are managing a small research project for a university department. The project consists of several distinct phases, each with an estimated time commitment and dependencies on prior phases. To effectively plan and allocate resources, you need to perform a forward pass analysis to determine the earliest possible start and finish times for each research phase. This will help in setting realistic timelines and understanding the overall project schedule.

Your Goal:

For each phase in the research project, calculate its Earliest Start Time (ES) and Earliest Finish Time (EF). The ES for a phase is the earliest it can begin once all its prerequisites are completed. The EF for a phase is its ES plus its duration. Assume the project starts at day 0.

Phase List:

  • P1: Literature Review

    • Duration: 6 weeks

    • Prerequisites: None

  • P2: Experimental Design

    • Duration: 4 weeks

    • Prerequisites: P1

  • P3: Data Collection

    • Duration: 10 weeks

    • Prerequisites: P2

  • P4: Data Analysis

    • Duration: 8 weeks

    • Prerequisites: P3

  • P5: Manuscript Drafting

    • Duration: 12 weeks

    • Prerequisites: P4

  • P6: Peer Review Submission

    • Duration: 3 weeks

    • Prerequisites: P5

  • P7: Revisions and Finalization

    • Duration: 5 weeks

    • Prerequisites: P6

  • P8: Publication

    • Duration: 1 week

    • Prerequisites: P7

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