Project Scheduling CPM Project management3

Applicability of Today's Material to Upcoming Exam

• Material discussed is relevant to the upcoming exam, specifically the manager-boss exercise.

• The exercise will not be posted early to prevent premature focus on its content.

Project Management Methods

• Coverage of two project management methods:
    - Critical Path Method (CPM).
    - Project Evaluation and Review Technique (PERT).

Critical Path Method (CPM)

• Developed by the DuPont Company in the 1950s for plant maintenance.

• Purpose: To minimize downtime during annual maintenance of chemical plants.

• Deterministic nature: Activity times are known with certainty to determine which activities form the critical path to minimize facility shutdown time.

Definitions and Key Concepts

• Critical Path: The sequence of activities that represent the longest path through a project, determining the minimum project duration.

• Forward Pass: Calculating the earliest start and finish times.
    - Early Start (ES): The earliest time an activity can start.
    - Early Finish (EF): Calculated as $EF = ES + ext{activity time}$.

• Backward Pass: Calculating the latest start and finish times.
    - Late Start (LS): Latest time an activity can start without delaying project completion.
    - Late Finish (LF): Latest time an activity can finish without delaying project completion.
    - Calculation: $LS = LF - ext{activity time}$.

• Slack: The amount of time that you can delay a task without delaying the project. Calculated as:
    - $ext{Slack} = LF - EF$
    - Or $ext{Slack} = LS - ES$

• Activities with minimum slack are critical activities and are crucial for timely project completion.

Forward and Backward Pass Example

• Outlined steps for executing forward and backward passes:
    - Begin with the first activity.
    - Follow through to determine all early start/finish and late start/finish times.
    - Use project activity durations:
      - A: 3 weeks, B: 6 weeks, C: 2 weeks, D: 5 weeks, E: 2 weeks, F: 7 weeks, G: 4 weeks
    - Use arrows to represent predecessor relationships in the network diagram.

Activity Relationships and Execution

• Maintain focus on relationships and utilize predecessor activity times effectively in calculations.

• Final project completion time derived from the early finish of the last activity on the critical path.

Slack Calculation

• Slack for each activity is critical to ensure optimal project operations.

PERT (Project Evaluation and Review Technique)

• Developed by the United States Navy in the 1950s for the Polaris missile project.

• Focused on estimates due to the uncertainty of technologies involved.

• Time Estimates:
    - Optimistic Time (a): Best-case scenario for task completion.
    - Most Likely Time (m): Expected completion under normal circumstances.
    - Pessimistic Time (b): Worst-case scenario.

• Expected Time (E) for an activity calculated as:
    - $E = rac{a + 4m + b}{6}$ ; a weighted average with the most likely time emphasized.

• Variance ($ ext{Var}_t$) for an activity calculated as:
    - $ext{Var}_t = rac{(b - a)}{6}^2$.

• Use of these estimates impacts project scheduling and risk assessment.

Practical Examples and Applications

• Illustrated a practical application of PERT in determining project timelines and probabilities of completion.

• Discussed real-world scenarios and implications of handling project deadlines and estimates.

Implications and Best Practices

• Importance of balancing quantitative and qualitative factors, especially regarding project management and execution.

• Emphasis on human elements in operations, illustrating the importance of morale and quality over mere numerical success.

Final Thoughts and Next Steps

• Questions and discussions encouraged to clarify understanding of CPM and PERT mechanisms.

• Upcoming inventory AI exercise will incorporate knowledge of project management methods and tools.

• Focus on real-world applicability and financial implications in project estimation and bidding practices.