Download e-book for kindle: 14th IEEE International Conference on Embedded and Real-time by Institute of Electrical and Electronics Engineers

By Institute of Electrical and Electronics Engineers

ISBN-10: 0769533493

ISBN-13: 9780769533490

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Extra resources for 14th IEEE International Conference on Embedded and Real-time Computing Systems and Applications (Rtcsa 2008)

Example text

Of positive real numbers, with ri , called the ready time of Pi , denoting the earliest timeinstant (at or after the present) at which the i’th processing node Pi becomes available. In the model of [9, 7] (which we adopt here), it is assumed that Pi can only participate in data transmission and/ or computation of the job currently under consideration at or after time-instant ri . αj ), and therefore completes execution at timei instant Cm σ j=1 αj + Cp σαi . By the optimality principle, Pi and Pi+1 complete execution at the same time-instant.

By assigning a workload σαi to the i’th processor, it immediately follows from the construction of the LP that the total workload is assigned to the n processors. Furthermore ξo , the value of ξ in the feasible solution, clearly represents an upper bound on the completion time of the schedule. The constraints that must be satisfied by these variables are as follows: 1. , the αi ’s must sum to 1. This is represented by Inequality (1) of the LP in Figure 4. Lemma 2 Given a schedule for a workload of size σ with completion-time ξ1 that there is a feasible solution to the LP in Figure 4 that assigns the variable ξ the value ξ1 .

CNS-0408996, CCF-0541056, and CCR-0615197, ARO Grant No. W911NF-06-1-0425, and funding from the Intel Corporation. 23 15 able to the job at a specified instant in the future. Their approach was to model such a cluster as a heterogeneous one comprised of processors that are all available immediately, but have different computing capacities — in this manner, they transformed the problem of different ready times for the processors to one of identical ready times but different computing capacities, which they subsequently solved (approximately) by extending the strategies that had previously been used for the analysis of homogeneous clusters.

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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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