What Is a Slack or a Float?

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In project management, the terms slack and float describe the length of time that an activity can be delayed without delaying the finish date of a subsequent activity, or the finish date of the entire project. The terms are most commonly applied to a network analysis technique, known as the Critical Path Method, which was developed by the DuPont Corporation in 1957.

Slack versus Float

The terms "slack" and "float" are often used interchangeably. However, the essential difference between the terms is that slack is typically associated with inactivity, while float is associated with activity. Slack time allows an activity to start later than originally planned, while float time allows an activity to take longer than originally planned.

Critical Path Method

The Critical Path Method depicts a project as a network diagram, in which each node on the network represents an activity. The nodes are joined together by lines, or arcs, which represent the events that mark the beginning and end of each activity. The critical path is the longest path through the network diagram and determines the shortest time required to finish the project. By definition, the critical path has the least slack or float time of any path through the network diagram. Ideally, none of the activities in the critical path should have slack or float time, because any delay in the critical path delays project completion.

Variables

Each activity in a project can be defined using four variables, known as early start, or ES, early finish, or EF, late start, or LS, and late finish, or LF. These variables simply represent the earliest and latest times that an activity can start and finish. Slack or float time for an activity is the difference between its early start and early finish, or the difference between its late start and late finish. Mathematically, slack or float time can be defined by the formula Float = LS - ES, or Float = LF - EF.

Free, Total and Independent Float

The term free slack, or free float, describes the length of time by which an activity can be delayed without delaying the early start of any subsequent activity, or activities. The term total slack, or total float, describes the length of time it can be delayed, beyond its early start, without delaying the finish date for the whole project. The term independent slack, or independent float, describes the length of time by which an activity can be delayed if all previous activities start as late as possible and all subsequent activities start as early as possible. Independent float is associated with just one activity, rather than two or more.

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