Final answer:
The Least Recently Used (LRU) algorithm chooses the page that has not been used for the longest time whenever a page needs to be replaced.
Step-by-step explanation:
The algorithm that chooses the page that has not been used for the longest period of time whenever the page required to be replaced is the Least Recently Used (LRU) algorithm. This algorithm keeps track of the order in which pages are accessed, and when a page needs to be replaced, it selects the page that hasn't been used for the longest time.
For example, let's say we have a cache with four pages: A, B, C, and D. If the page D has not been accessed for a long time and a new page E needs to be brought into the cache, the LRU algorithm will replace D with E since D is the least recently used page.
The LRU algorithm is commonly used in operating systems and cache memory management to optimize memory usage and improve system performance.
The algorithm that chooses the page that has not been used for the longest period of time whenever a page needs to be replaced is the Least Recently Used (LRU) algorithm. This page replacement algorithm keeps track of page usage over time, and when it's necessary to replace a page, it selects the one that has been unused for the longest. This strategy is based on the likelihood that pages that have not been used for a while will not be needed immediately in the future, which makes the LRU algorithm effective in many scenarios.