Relationship between the critical path length

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Reference no: EM133370830

Question: Let d be the maximum degree of concurrency in a task-dependency graph with t tasks and a critical-path length l. Prove that

[t/l] ≤ d ≤ t - l + 1.

Note: [t/l] is meant to be the ceiling of t/l. Also note the equation contains both letter l and integer 1.

This is trying set a relationship between the critical path length of a graph and maximum parallelism. For example, if the maximum parallelism is t (=number of tasks), then critical( path cannot be greater than 1. Likewise, if the maximum parallelism is 1, then the critical path must be at least t.

Reference no: EM133370830

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