Visualizing parallel computer system performance

Instrumentation for future parallel computing systems ◽

10.1145/75705.75709 ◽

1989 ◽

pp. 59-90 ◽

Cited By ~ 7

Author(s):

A. D. Malony ◽

D. A. Reed

Keyword(s):

Computer System ◽

System Performance ◽

Parallel Computer

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Midimew Connected Torus Network for Next Generation Massively Parallel Computer System

Procedia Computer Science ◽

10.1016/j.procs.2021.01.044 ◽

2021 ◽

Vol 179 ◽

pp. 590-597

Author(s):

Maryam Manaa Al-Shammari ◽

Asrar Haque ◽

M.M. Hafizur Rahman

Keyword(s):

Computer System ◽

Parallel Computer ◽

Massively Parallel ◽

Next Generation ◽

Torus Network

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Categorification of the Müller-Wichards System Performance Estimation Model: Model Symmetries, Invariants, and Closed Forms

Systems ◽

10.3390/systems7010006 ◽

2019 ◽

Vol 7 (1) ◽

pp. 6

Author(s):

Allen D. Parks ◽

David J. Marchette

Keyword(s):

Closed Form ◽

System Performance ◽

Algebraic Method ◽

Expressive Power ◽

Computer Applications ◽

Performance Estimation ◽

Parallel Computer ◽

Estimation Model ◽

Data Movement ◽

Fundamental Symmetry

The Müller-Wichards model (MW) is an algebraic method that quantitatively estimates the performance of sequential and/or parallel computer applications. Because of category theory’s expressive power and mathematical precision, a category theoretic reformulation of MW, i.e., CMW, is presented in this paper. The CMW is effectively numerically equivalent to MW and can be used to estimate the performance of any system that can be represented as numerical sequences of arithmetic, data movement, and delay processes. The CMW fundamental symmetry group is introduced and CMW’s category theoretic formalism is used to facilitate the identification of associated model invariants. The formalism also yields a natural approach to dividing systems into subsystems in a manner that preserves performance. Closed form models are developed and studied statistically, and special case closed form models are used to abstractly quantify the effect of parallelization upon processing time vs. loading, as well as to establish a system performance stationary action principle.

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