Consider a System with Two Multiprocessors with the Following Configurations

question 11

Essay

Consider a system with two multiprocessors with the following configurations:
(a) Machine 1, a NUMA machine with two processors, each with local memory of 512 MB with local memory access latency of 20 cycles per word and remote memory access latency of 60 cycles per word.
(b) Machine 2, a UMA machine with two processors, with a shared memory of 1GB with access latency of 40 cycles per word.
Suppose an application has two threads running on the two processors, each of them need to access an entire array of 4096 words, is it possible to partition this array on the local memories of the NUMA machine so that the application runs faster on it rather than the UMA machine? If so, specify the partitioning. If not, by how many more cycles should the UMA memory latency be worsened for a partitioning on the NUMA machine to enable a faster run than the UMA machine? Assume that the memory operations dominate the execution time.
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Definitions:

Full Employment

Full employment refers to a situation in the economy where all available labor resources are being used in the most efficient way possible, virtually eliminating involuntary unemployment.

Inefficient Outcome

A situation where resources are not allocated in the most valuable or productive way, often resulting from market failures or externalities.

Production Possibilities Frontier

A graphical representation that shows the combination of two goods that can be produced using all resources efficiently.

Inefficient Levels

Situations where resources are not being used in the best possible way from an economic perspective, leading to potential waste or losses.