Three-level modeling of a speed-scaling supercomputer

Alexander Rumyantsev (), Robert Basmadjian (), Sergey Astafiev () and Alexander Golovin ()
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Alexander Rumyantsev: Karelian Research Center of RAS
Robert Basmadjian: TU Clausthal
Sergey Astafiev: Karelian Research Center of RAS
Alexander Golovin: Karelian Research Center of RAS

Annals of Operations Research, 2023, vol. 331, issue 2, No 3, 649-677

Abstract: Abstract In this paper we study a simultaneous service multiserver system which we call speed-scaling supercomputer, where speed-scaling is used to address the performance/power demand tradeoff. We treat the system by three-level modeling approach, using matrix-analytic method, generalized semi-Markov processes and small-scale technical system as the three levels of modeling. An explicit form of stability condition is obtained for a two-server system with heterogeneous customer classes. Regenerative estimation approach is used for confidence estimation of performance measures both in simulation and technical models. We demonstrate the potential of the three-level modeling approach on a relatively sophisticated and interesting model by performing extensive experiments.

Keywords: Supercomputer model; Simultaneous service multiserver system; Three-level modeling; Matrix-analytic method; Generalized semi-Markov process; Energy-performance tradeoff; Energy efficiency; Regenerative simulation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-022-04830-0

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