bv_cvxbook_extra_exercises

n for the case described in parts a and b ie using

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: fer data between processors, and assume the processors are powered down when they are not active.) There is a set of precedence constraints for the tasks, which is a set of m ordered pairs P ⊆ {1, . . . , n} × {1, . . . , n}. If (i, j ) ∈ P , then task j cannot start until task i finishes. (This would be the case, for example, if task j requires data that is computed in task i.) When (i, j ) ∈ P , we refer to task i as a precedent of task j , since it must precede task j . We assume that the precedence constraints define a directed acyclic graph (DAG), with an edge from i to j if (i, j ) ∈ P . If a task has no precedents, then it starts at time t = 0. Otherwise, each task starts as soon as all of its precedents have finished. We let T denote the time for all tasks to be completed. To be sure the precedence constraints are clear, we consider the very small example shown below, with n = 6 tasks and m = 6 precedence constraints. P = {(1, 4), (1, 3), (2, 3), (3, 6), (4, 6), (5, 6)}. 5 1 4...
View Full Document

Ask a homework question - tutors are online