2012
DOI: 10.1016/j.jss.2011.12.042
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Efficient and robust probabilistic guarantees for real-time tasks

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Cited by 19 publications
(4 citation statements)
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References 21 publications
(25 reference statements)
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“…We report the results of the comparison between the numeric solution resulting from Theorem 2 and discussed in Remark 2 (companion), the analytic approximated bound in Corollary 7 (analytic) the Cyclic Reduction algorithm [10] (CR) and the bound developed by Abeni et al [32] (gamma). We have chosen CR after a selection process in which several algorithms for the solution of general QBDP problems and implemented in the SMCSolver tool-suite [33] were tested on a set of example QBDPs derived from our application.…”
Section: A Synthetic Distributionsmentioning
confidence: 99%
“…We report the results of the comparison between the numeric solution resulting from Theorem 2 and discussed in Remark 2 (companion), the analytic approximated bound in Corollary 7 (analytic) the Cyclic Reduction algorithm [10] (CR) and the bound developed by Abeni et al [32] (gamma). We have chosen CR after a selection process in which several algorithms for the solution of general QBDP problems and implemented in the SMCSolver tool-suite [33] were tested on a set of example QBDPs derived from our application.…”
Section: A Synthetic Distributionsmentioning
confidence: 99%
“…The analysis is significantly simpler if we adopt a resource reservation scheduler, 3 in which each task executes as if on a dedicated computer and can be analyzed independently of the other tasks (the temporal isolation property). This radical simplification makes the model easy to construct and to analyze and brought different authors to develop efficient numerical methods 20,21 or analytic bounds. 6,22,23 Importantly, in all the articles cited so far, the computation time is assumed to be independent and identically distributed (i.i.d).…”
Section: Related Workmentioning
confidence: 99%
“…There is a cost function associated with these systems, which is often related to QoS. Hence, we consider a stochastic task model based on the one presented in [16]. Then, we represent each soft-real-time task using a tuple τ i = (r i , s i , a i , d i ) where: r i is the release time of the task, s i is the service time, which follows an exponential distribution of average µ −1 (i.e., µ is the number of serviced jobs of τ i per unit time), a i is the arrival time; tasks arrive according to a renewal process with exponential distribution of average λ −1 , and d i is the absolute deadline; the relative deadline is…”
Section: B the Task Modelmentioning
confidence: 99%