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Page Replacement Algorithms

Page Replacement Algorithms. So, when we have a page fault we have to find an eviction candidate. Optimally, we would like to evict the page that will not be referenced again for the longest amount of time.

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Page Replacement Algorithms

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  1. Page Replacement Algorithms • So, when we have a page fault we have to find an eviction candidate. • Optimally, we would like to evict the page that will not be referenced again for the longest amount of time. • In reality the OS has no way of knowing when each of the pages will be referenced next.

  2. Not Recently Used • Examine M and R bits associated with each page. • Page fault occurs, OS places all pages in 1 or 4 classifications • Class 0: R=0, M=0 • Class 1: R=0, M=1 • Class 2: R=1, M=0 • Class 3: R=1, M=1 • NRU Algorithm says to remove a page at random from the lowest nonempty class.

  3. FIFO • Simple design of having a queue maintained for pages in memory. • The head of the queue contains oldest page in memory. • The tail of the queue contains the newest page in memory. • Is there a potential problem with evicting the head of the queue each time?

  4. FIFO with second chance • Performs like FIFO, but inspects the R bit. • If R bit of the head page is 1, it is cleared and placed at the tail. • What happens if all pages in memory have the R bit set to one?

  5. Clock Page Replacement • Behaves liked FIFO with second chance except that it is a circular linked list.

  6. Least Recently Used • Assume pages used recently will be used again soon • throw out page that has been unused for longest time • Must keep a linked list of pages • most recently used at front, least at rear • update this list every memory reference !! • Keep counter in each page table entry • choose page with lowest value counter • periodically zero the counter

  7. LRU (cont.) • Alternatively used a n by n matrix. n is the number of page frames. • All values in matrix intially set to 0 • When a page frame, k, is referenced, the hardware first sets all the bits in row k to 1. • Then sets all the bits in column k to 0. • The row whose binary value is lowest is the LRU at any instant.

  8. Example of LRU using Matrix Pages referenced in order 0,1,2,3,2,1,0,3,2,3

  9. Simulated LRU – Not Frequently Used • Most machines do not have the hardware to perform true LRU, but it may be simulated. • We can use a counter to keep track of each R bit for each page upon a timer tick. • Page with the lowest R-bit is evicted. • What is the problem with this type of history keeping?

  10. Modified NFU • Counters are each shifted right 1 bit before the R bit is added. • R bit is added to the leftmost, rather than the rightmost bit. • This modified algorithm is known as aging.

  11. Modified NFU (Aging)

  12. Issues with NFU • References can happen between timer interrupts. • What happens if we are comparing two pages which have identical references over the past n timer ticks? • We make a random choice. • Is it the right one?

  13. Working Set Page Replacement • Locality of Reference – a process references only a small fraction of its pages during any particular phase of its execution. • The set of pages that a process is currently using is called the working set. • Thrashing – results when a program causes a page fault every few instructions, causing the pages to have to pulled up from memory. No “real” useful work is being accomplished.

  14. Working Set Page Replacement (cont.) • So, what happens in a multiprogramming environment as processes are switched in and out of memory? • Do we have to take a lot of page faults when the process is first started? • It would be nice to have a particular processes working set loaded into memory before it even begins execution. This is called prepaging.

  15. Working Set Page Replacement (cont.) • The working set algorithm is based on determining a working set and evicting any page that is not in the current working set upon a page fault.

  16. Working Set Page Replacement (cont.) Age = current virtual time – time of last use

  17. Working Set Page Replacement (cont.) • What happens when there is more than one page with R=0 and age less then or eq to tau? • What happens when all pages have R=1? • This algorithm requires the entire page table be scanned at each page fault until a suitable candidate is located. • All entries must have their Time of last use updated even after a suitable entry is found.

  18. WSClock Page Replacement

  19. WSClock Page Replacement (Cont.) • What happens when R=0? • Is age > , and page is clean then it is evicted • If it is dirty then we can proceed to find a page that may be clean and avoid a process switch. We will still need to write to disk and this write is scheduled. • What happens if we go all the way around? (Two Scenarios) • At least one write has been scheduled. Keep Looking… someone eventually write to disk. • No writes have been scheduled… all pages are in the working set, so evict a clean page or the current page if a clean page does not exist.

  20. Page Replacement Algorithm Summary

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