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Three-level modeling of a speed-scaling supercomputer

Author

Listed:
  • Alexander Rumyantsev

    (Karelian Research Center of RAS
    Petrozavodsk State University)

  • Robert Basmadjian

    (TU Clausthal)

  • Sergey Astafiev

    (Karelian Research Center of RAS
    Petrozavodsk State University)

  • Alexander Golovin

    (Karelian Research Center of RAS
    Petrozavodsk State University)

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.

Suggested Citation

  • Alexander Rumyantsev & Robert Basmadjian & Sergey Astafiev & Alexander Golovin, 2023. "Three-level modeling of a speed-scaling supercomputer," Annals of Operations Research, Springer, vol. 331(2), pages 649-677, December.
    • Handle: RePEc:spr:annopr:v:331:y:2023:i:2:d:10.1007_s10479-022-04830-0
    DOI: 10.1007/s10479-022-04830-0
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