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Consider a demand paging system with four-page frames (initially empty) and LRU page replacement policy. For the following page reference string
7, 2, 7, 3, 2, 5, 3, 4, 6, 7, 7, 1, 5, 6, 1
the page fault rate, defined as the ratio of number of page faults to the number of memory accesses (rounded off to one decimal place) is ______.
Correct answer is '0.6'. Can you explain this answer?
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Consider a demand paging system with four-page frames (initially empty...
Page Fault Rate Calculation for a Demand Paging System with LRU Page Replacement Policy
To calculate the page fault rate for the given page reference string, we need to keep track of the number of page faults and the number of memory accesses. The page fault rate is then calculated by dividing the number of page faults by the number of memory accesses.
Given:
Page reference string: 7, 2, 7, 3, 2, 5, 3, 4, 6, 7, 7, 1, 5, 6, 1
Number of page frames: 4 (initially empty)
Page replacement policy: LRU (Least Recently Used)
1. Initialize the page frames:
The page frames are initially empty, so we have:
[_, _, _, _]
2. Process the page reference string:
For each page in the reference string, we check if it is already present in one of the page frames. If it is not present, we have a page fault and need to replace a page using the LRU policy.
- Access page 7: Page fault, as the page frame is empty.
Page frames: [7, _, _, _]
- Access page 2: Page fault, as the page frame is empty.
Page frames: [7, 2, _, _]
- Access page 7: Page fault, as page 7 is already in one of the frames but not the most recently used.
Page frames: [7, 2, _, _]
- Access page 3: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, _]
- Access page 2: Page fault, as page 2 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, _]
- Access page 5: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 5]
- Access page 3: Page fault, as page 3 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 5]
- Access page 4: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 4]
- Access page 6: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 6]
- Access page 7: Page fault, as page 7 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 6]
- Access page 7: Page fault, as page 7 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 6]
- Access page 1: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 1]
- Access page 5: Page fault, as page 5 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 1]
- Access page 6: Page fault, as page
To calculate the page fault rate for the given page reference string, we need to keep track of the number of page faults and the number of memory accesses. The page fault rate is then calculated by dividing the number of page faults by the number of memory accesses.
Given:
Page reference string: 7, 2, 7, 3, 2, 5, 3, 4, 6, 7, 7, 1, 5, 6, 1
Number of page frames: 4 (initially empty)
Page replacement policy: LRU (Least Recently Used)
1. Initialize the page frames:
The page frames are initially empty, so we have:
[_, _, _, _]
2. Process the page reference string:
For each page in the reference string, we check if it is already present in one of the page frames. If it is not present, we have a page fault and need to replace a page using the LRU policy.
- Access page 7: Page fault, as the page frame is empty.
Page frames: [7, _, _, _]
- Access page 2: Page fault, as the page frame is empty.
Page frames: [7, 2, _, _]
- Access page 7: Page fault, as page 7 is already in one of the frames but not the most recently used.
Page frames: [7, 2, _, _]
- Access page 3: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, _]
- Access page 2: Page fault, as page 2 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, _]
- Access page 5: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 5]
- Access page 3: Page fault, as page 3 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 5]
- Access page 4: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 4]
- Access page 6: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 6]
- Access page 7: Page fault, as page 7 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 6]
- Access page 7: Page fault, as page 7 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 6]
- Access page 1: Page fault, as the page frame is empty.
Page frames: [7, 2, 3, 1]
- Access page 5: Page fault, as page 5 is already in one of the frames but not the most recently used.
Page frames: [7, 2, 3, 1]
- Access page 6: Page fault, as page
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Community Answer
Consider a demand paging system with four-page frames (initially empty...
There are four-page frames are given and an LRU page replacement policy is used.
The given page size= 4,
The given page reference string is = 7, 2, 7, 3, 2, 5, 3, 4, 6, 7, 7, 1, 5, 6, 1
Number of Page faults = 9
Number of Page hits = 6
Number of memory access = 15
Page fault rate = Number of page faults / Number of memory access
Page fault rate = 9/15
Page fault rate = 0.6
Hence the correct answer is 0.6.
Number of Page hits = 6
Number of memory access = 15
Page fault rate = Number of page faults / Number of memory access
Page fault rate = 9/15
Page fault rate = 0.6
Hence the correct answer is 0.6.
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Consider a demand paging system with four-page frames (initially empty) and LRU page replacement policy. For the following page reference string7, 2, 7, 3, 2, 5, 3, 4, 6, 7, 7, 1, 5, 6, 1the page fault rate, defined as the ratio of number of page faults to the number of memory accesses (rounded off to one decimal place) is ______.Correct answer is '0.6'. Can you explain this answer?
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