Prerequisite: Page Replacement Algorithms In operating systems that use paging for memory management, page replacement algorithm are needed to decide which page needed to be replaced when new page comes in. Whenever a new page is referred and not present in memory, page fault occurs and Operating System replaces one of the existing pages with newly needed page. Different page replacement algorithms suggest different ways to decide which page to replace. The target for all algorithms is to reduce number of page faults. In Least Recently Used (LRU) algorithm is a Greedy algorithm where the page to be replaced is least recently used. The idea is based on locality of reference, the least recently used page is not likely Let say the page reference string 7 0 1 2 0 3 0 4 2 3 0 3 2 . Initially we have 4 page slots empty. Initially all slots are empty, so when 7 0 1 2 are allocated to the empty slots —> 4 Page faults 0 is already there so —> 0 Page fault. when 3 came it will take the place of 7 because it is least recently used —>1 Page fault 0 is already in memory so —> 0 Page fault. 4 will takes place of 1 —> 1 Page Fault Now for the further page reference string —> 0 Page fault because they are already available in the memory.
Given memory capacity (as number of pages it can hold) and a string representing pages to be referred, write a function to find number of page faults.
Let capacity be the number of pages that
memory can hold. Let set be the current
set of pages in memory.
1- Start traversing the pages.
i) If set holds less pages than capacity.
a) Insert page into the set one by one until
the size of set reaches capacity or all
page requests are processed.
b) Simultaneously maintain the recent occurred
index of each page in a map called indexes.
c) Increment page fault
ii) ElseIf current page is present in set, do nothing.
a) Find the page in the set that was least
recently used. We find it using index array.
We basically need to replace the page with
b) Replace the found page with current page.
c) Increment page faults.
d) Update index of current page.
2. Return page faults.
Time Complexity : O(n), as it performs a constant amount of work for each page request.
Space Complexity : O(n+4), where n is the size of the input array and 4 is the size of the memory buffer.
Note : We can also find the number of page hits. Just have to maintain a separate count. If the current page is already in the memory then that must be count as Page-hit. We will discuss other Page-replacement Algorithms in further sets. This article is contributed by Sahil Chhabra. If you like GeeksforGeeks and would like to contribute, you can also write an article using write.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
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