A workload consisting of four benchmark programs $(w,x,y,z)$ runs on three systems $(A,B,C)$ with corresponding execution times $($in seconds$)$ shown in the table below. Compare the relative performance of each of these systems $($i$.$e$.,$ A to B$,$ B to C$,$ and A to C$)$ for this workload, using the arithmetic and geometric means. Are there any contradictions? Explain.

$\backslash$table$[[$Program$,\backslash$table$[[$System A$],[$Execution Time$]],\backslash$table$[[$System B$],[$Execution Time$]],\backslash$table$[[$System C$],[$Execution Time$]]],[w,150+5^{**}f,200,75],[x,200,250-{10}^{**}g,150],[y,400,800,500],[z,1000,1200,1100]]$

Answer

A workload consisting of four benchmark programs $(w,x,y,z)$ runs on three systems $(A,B,C)$ with corresponding execution times $($in seconds$)$ shown in the table below. Compare the relative performance of each of these systems $($i$.$e$.,$ A to B$,$ B to C$,$ and A to C$)$ for this workload, using the arithmetic and geometric means. Are there any contradictions? Explain.

$\backslash$table$[[$Program$,\backslash$table$[[$System A$],[$Execution Time$]],\backslash$table$[[$System B$],[$Execution Time$]],\backslash$table$[[$System C$],[$Execution Time$]]],[w,150+5^{**}f,200,75],[x,200,250-{10}^{**}g,150],[y,400,800,500],[z,1000,1200,1100]]$

Answer