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Offline first-fit decreasing height scheduling of power loads

Anshu Ranjan (), Pramod Khargonekar () and Sartaj Sahni ()
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Anshu Ranjan: University of Florida
Pramod Khargonekar: University of Florida
Sartaj Sahni: University of Florida

Journal of Scheduling, 2017, vol. 20, issue 5, No 7, 527-542

Abstract: Abstract In this paper, we consider the problem of scheduling energy consumption loads in the setting of smart electric grids. Each load is characterized as a “job” by a start (arrival) time and a deadline by which a certain amount of electric energy must be delivered to the load. A job may be preemptable, i. e. it can be interrupted or non-preemptable. Specifically, we focus on scheduling a mixture of preemptable and non-preemptable jobs with the same arrival time and deadline with the goal of minimizing the peak power. We study and modify the first-fit decreasing height algorithm of the strip packing problem for this purpose. We prove its asymptotic performance bound: $$1.7 OPT + 1$$ 1.7 O P T + 1 and its tightness. The heuristic results in at most one preemption per job, and it can be implemented with $$O(n \log n + nq)$$ O ( n log n + n q ) time complexity where q is the number of $$non-preemptable$$ n o n - p r e e m p t a b l e jobs.

Keywords: Scheduling; Approximation algorithm; Absolute worst-case ratio; Preemption with resume (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10951-017-0528-y

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