Critical Path Method

CPM

 


Description also available in video format (attached below), for better experience use your desktop.

INTRODUCTION

  • CPM is a project management technique used for planning, scheduling, and controlling complex projects.
  • It helps identify the longest sequence of dependent activities (called the critical path) that determines the shortest time possible to complete a project.
  • Developed in the 1950s by DuPont and Remington Rand Corporation.

OBJECTIVES

  • To identify the critical path
  • To determine project duration
  • To highlight activities that can be delayed (slack/floats)
  • To allocate resources effectively

IMPORTANT TERMS

Term

Meaning

Activity

A task or job to be performed

Event (Node)

Start or end of an activity

Critical Path

Longest path from start to end with zero float

Float (Slack)

The time by which an activity can be delayed without affecting the project

Earliest Start (ES)

Earliest time an activity can begin

Earliest Finish (EF)

ES + Activity duration

Latest Start (LS)

Latest time an activity can begin without delaying the project

Latest Finish (LF)

LS + Activity duration

STEPS

  1. List all activities required for the project
  2. Determine dependencies (which activity follows which)
  3. Draw the network diagram
  4. Estimate the time for each activity
  5. Find all paths from start to finish
  6. Calculate the total time for each path
  7. Identify the critical path (longest duration path)
  8. Determine floats/slack for non-critical activities

CHARACTERISTICS

  • It has zero slack/float
  • Delay in any critical activity will delay the whole project
  • Helps focus attention on essential tasks
  • May change during project execution due to delays or changes in activities

ADVANTAGES

  • Effective planning and scheduling
  • Identifies critical and non-critical tasks
  • Better resource management
  • Improves project monitoring and control
  • Enables time-cost trade-off analysis

LIMITATIONS

  • Assumes deterministic time estimates (no uncertainties)
  • Not ideal for projects with repetitive tasks
  • Requires accurate input data
  • Complex for very large projects

APPLICATIONS

  • Construction projects
  • Event planning
  • Hospital renovations or equipment setup
  • Software development
  • Research and development projects

EXAMPLES

Activity

Duration (Days)

Depends on

A

2

-

B

4

A

C

3

A

D

2

B, C

  • Paths:
    • A → B → D = 2 + 4 + 2 = 8 days
    • A → C → D = 2 + 3 + 2 = 7 days
  • Critical Path: A → B → D (8 days)

Video Description

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