Consider a Project That Consists of Three Consecutive Activities of Equal

question 94

Essay

Consider a project that consists of three consecutive activities of equal length as shown in the network diagram.The project manager would like to complete the project as quickly as possible and realizes that the diagram's logic is misleading.Instead of waiting until activity A is completed before activity B can begin,he can actually begin activity B once activity A has begun.The same reasoning holds for the relationship between activity B and activity C.The project manager decides to divide each activity in half,a technique known as "laddering".The second diagram shows the new network logic.In this diagram,activity A is divided into activity A1 and A2 where A1 must be finished before A2 can begin and before B1 can begin.The manager still isn't satisfied with the completion time of the project.Derive an expression or draw a diagram that demonstrates the fastest possible completion time of the project.

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Definitions:

Gratuitous Agent

An agent who acts on behalf of another without receiving any compensation for their services.

Paid Agent

A professional or entity compensated to act on behalf of another in a transaction or negotiation.

Principal's Relationship

A legal concept that describes the relationship between a principal (one who grants authority) and an agent (one who acts on the principal's behalf).

Solely

Refers to something done exclusively by one entity or individual, without involvement from others.