The Memory Hierarchy Theory posits that system performance is optimized by arranging storage technologies in a layered structure based on their speed-capacity tradeoffs to approximate the ideal scenario of high-speed, large-volume memory. This architecture relies fundamentally on Locality Principles—specifically temporal and spatial locality—to predict access patterns and maintain data within faster tiers (e.g., registers, cache) via hit/miss probabilities at each level $i$. The theoretical model formalizes system effectiveness through weighted sums of storage costs ($C_i$), latency contributions ($T_{total}$), and hierarchical organization parameters such as block size ($S_i$), ensuring that the effective memory access time is minimized while maximizing utilization rates without incurring prohibitive implementation costs.
The Memory Hierarchy Theory posits that system performance is optimized by arranging storage technologies in a layered structure based on their speed-capacity tradeoffs to approximate the ideal scena…