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The essential technique for using CPM is to construct a model of the project that includes the following:

A list of all activities required to complete the project (also known as Work Breakdown Structure)
The time (duration) that each activity will take to completion, and
The dependencies between the activities

For a test case, let's assume the following picture:

critical path method matlab code

Abstract

The critical path method (CPM) is an algorithm for scheduling a set of project activities.The critical path method (CPM) is a project modeling technique developed in the late 1950s by Morgan R. Walker of DuPont and James E. Kelley, Jr. of Remington Rand.[2] Kelley and Walker related their memories of the development of CPM in 1989. Kelley attributed the term "critical path" to the developers of the Program Evaluation and Review Technique which was developed at about the same time by Booz Allen Hamilton and the U.S. Navy.The precursors of what came to be known as Critical Path were developed and put into practice by DuPont between 1940 and 1943 and contributed to the success of the Manhattan Project.CPM is commonly used with all forms of projects, including construction, aerospace and defense, software development, research projects, product development, engineering, and plant maintenance, among others. Any project with interdependent activities can apply this method of mathematical analysis. Although the original CPM program and approach is no longer used,the term is generally applied to any approach used to analyze a project network logic diagram.