SLIDE 5 TCO of Accelerators Sandra Wienke | Center for Computing and Communication
5
Modeling – Comparison Metrics
Costs per program run Cppr
Includes investment/ TCO & application performance
𝐷𝑞𝑞𝑠 𝑜, 𝜐 = TCO(𝑜, 𝜐) 𝑜𝑓𝑦(𝜐) ∙ 𝑜 with 𝑜𝑓𝑦 𝜐 = 𝑙 ∙ 𝜐 𝑢𝑞𝑏𝑠
Used baseline for system X: Intel Sandy Bridge (SNB) + OpenMP
𝐷𝑞𝑞𝑠,𝑌 𝑜𝑌, 𝜐 − 𝐷𝑞𝑞𝑠,𝑃𝑁𝑄 𝑜𝑃𝑁𝑄, 𝜐 𝐷𝑞𝑞𝑠,𝑃𝑁𝑄 𝑜𝑃𝑁𝑄, 𝜐 < 0 ≥ 0 𝑗𝑔 𝑌 𝑃𝑁𝑄 beneficial Break-even investments
Min. budget needed so that system X beneficial over OpenMP on SNB Solve for 𝐽 with given fixed lifetime 𝜐:
𝐷𝑞𝑞𝑠,𝑌 𝑜𝑌, 𝜐 − 𝐷𝑞𝑞𝑠,𝑃𝑁𝑄 𝑜𝑃𝑁𝑄, 𝜐 = 0 with TCO 𝑜, 𝜐 = 𝐽
𝑜 ∶ number of nodes 𝜐 ∶ system lifetime 𝑜𝑓𝑦 ∶ #app. executions 𝑙 ∶ system usage rate 𝑢𝑞𝑏𝑠: parallel runtime