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Operations Research                                             Dilfraz Singh, Lovely Professional University




                    Notes                     Unit 12: Critical Path Method and PERT


                                     CONTENTS
                                     Objectives
                                     Introduction

                                     12.1 CPM/Pert Network Components
                                     12.2 Rules in Constructing a Network
                                     12.3 Critical Path Method (CPM)

                                          12.3.1  Time Estimates: Earliest Time and Latest Time
                                     12.4 Project Evaluation Review Technique (PERT)
                                     12.5 Summary
                                     12.6 Keywords
                                     12.7 Review Questions

                                     12.8 Further Readings

                                   Objectives

                                   After studying this unit, you will be able to:

                                      Understand the importance of CPM and PERT techniques for project management
                                      Construct network diagrams
                                      Learn about the concept of time estimates, slack and float.
                                      Learn how to find critical paths.

                                   Introduction

                                   Any project involves planning, scheduling and controlling a number of interrelated activities
                                   with use of limited resources, namely, men, machines, materials, money and time. The projects
                                   may be extremely  large and  complex such as construction  of a  power plant, a highway, a
                                   shopping complex, ships and aircraft, introduction of new products and research and development
                                   projects. It is required that managers must have a dynamic planning and scheduling system to
                                   produce the best possible results and also to react immediately to the changing conditions and
                                   make necessary changes in the plan and schedule. A convenient analytical and visual technique
                                   of PERT and CPM prove extremely valuable in assisting the managers in managing the projects.
                                   Both the techniques use similar terminology and have the same purpose. PERT stands for Project
                                   Evaluation and Review Technique developed during 1950s. The technique was developed and
                                   used in conjunction with the planning and designing of the Polaris missile project. CPM stands
                                   for Critical Path Method which was developed by DuPont Company and applied first to the
                                   construction projects in the chemical industry. Though both PERT and CPM techniques have
                                   similarity in terms of concepts, the basic difference is,  PERT is  used for analysis of project
                                   scheduling  problems. CPM  has single time estimate and PERT  has three time estimates  for
                                   activities and uses probability theory to find the chance of reaching the scheduled time.






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