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By Institute of Electrical and Electronics Engineers

ISBN-10: 0769533493

ISBN-13: 9780769533490

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Chuprat and S. Baruah. Deadline-based scheduling of divisible real-time loads. In Proceedings of the ICSA International Conference on Parallel and Distributed Computing Systems, Las Vegas, Nevada, September 2007. ξ ← ξ1 [2] G. B. Dantzig. Linear Programming and Extensions. Princeton University Press, 1963. constitutes a feasible solution to the LP. We now present our main result in this section, demonstrating the equivalence of scheduling to minimize completion time to Linear Programming. [3] N.

The base case: for a set with two task {o0 , o1 } the necessity was proved in theorem 1. , on−1 , on }. , xn exist for which: The generalization of theorem 1 for all tasks gives only a sufficient condition for scheduling them. This condition is proposed by the following theorem. Theorem 2 Tasks of the set {i ∈ N, i ≤ n, (oi : E(oi ), T (oi ))} are schedulable if n E(oi ) ≤ GCD(∀i, T (oi )) (3) i=0 The question is: can we generalize the theorem 1 for more than two tasks? Only the condition of the theorem 1 is used in the schedulability analysis (start times are not known yet).

Finally, due to the hard real-time nature of the considered systems we deal with non-preemptive tasks. Nonpreemptive scheduling is important for a variety of reasons [2]: Real-time systems are often designed using preemptive scheduling to guarantee the execution of high priority tasks. For multiple reasons there is a great interest in exploring non-preemptive scheduling in the case of hard real-time systems where missing deadline leads to catastrophic situations. This paper presents a necessary and sufficient schedulability condition for determining whether a task will satisfy its period and precedences constraints when some tasks have already been scheduled.

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14th IEEE International Conference on Embedded and Real-time Computing Systems and Applications (Rtcsa 2008) by Institute of Electrical and Electronics Engineers


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