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In project management, float or slack is the amount of time that a task in a project network can be delayed without causing a delay to: [1]: 183 subsequent tasks ("free float") project completion date ("total float"). Total float is associated with the path.
[1]: 502 [2]: 183 i.e. Slack = latest start date - earliest start day or Slack = latest finish time - earliest finish time. Any activities which have a slack of 0, they are on the critical path. solving the PDM, with: BS is an early start date. BM is a late start date. KS is an early finish date. KM is a late finish date.
It is the amount of time that a project task can be delayed without causing a delay in any subsequent tasks (free float) or the whole project (total float). Positive slack would indicate ahead of schedule; negative slack would indicate behind schedule; and zero slack would indicate on schedule.
Least slack time (LST) scheduling is an algorithm for dynamic priority scheduling. It assigns priorities to processes based on their slack time . Slack time is the amount of time left after a job if the job was started now.
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A positive slack s at some node implies that the arrival time at that node may be increased by s, without affecting the overall delay of the circuit. Conversely, negative slack implies that a path is too slow, and the path must be sped up (or the reference signal delayed) if the whole circuit is to work at the desired speed.
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Slack variables give an embedding of a polytope into the standard f-orthant, where is the number of constraints (facets of the polytope). This map is one-to-one (slack variables are uniquely determined) but not onto (not all combinations can be realized), and is expressed in terms of the constraints (linear functionals, covectors).