Fault Rate - 17.1.2 | 17. FIFO Page Replacement | Computer Organisation and Architecture - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Interactive Audio Lesson

Listen to a student-teacher conversation explaining the topic in a relatable way.

Understanding Page Faults

Unlock Audio Lesson

0:00
Teacher
Teacher

Today, we will discuss page faults. Can anyone tell me what a page fault is?

Student 1
Student 1

Is it when the system tries to access a page that isn't currently in memory?

Teacher
Teacher

Exactly! A page fault occurs when a program accesses a page that is not loaded in physical memory, requiring us to load it.

Student 2
Student 2

What happens if we reference pages that are not in memory?

Teacher
Teacher

Good question! The first time we reference a page that isn't in memory, it's a compulsory miss. Let's remember this: 'First Miss is Compulsory.'

FIFO Algorithm

Unlock Audio Lesson

0:00
Teacher
Teacher

Now, let's discuss the FIFO page replacement algorithm. Who remembers how it works?

Student 3
Student 3

It replaces the oldest page first, right?

Teacher
Teacher

Correct! FIFO doesn't consider if the page is heavily used; it just evicts the oldest one. Why do you think this could be a problem?

Student 4
Student 4

It might remove pages that are still needed frequently, leading to more page faults!

Teacher
Teacher

Exactly! So, FIFO might have a high fault rate. We can summarize: FIFO = Simple but Inefficient!

Optimal Page Replacement

Unlock Audio Lesson

0:00
Teacher
Teacher

Let's talk about the Optimal page replacement algorithm. Can anyone describe how it works?

Student 2
Student 2

It's supposed to replace the page that won't be needed for the longest time, right?

Teacher
Teacher

Correct! However, it's hypothetical because we can't predict the future. Why do you think it's essential?

Student 1
Student 1

It gives us a benchmark to measure how well other algorithms perform!

Teacher
Teacher

Exactly! Remember: Optimal = Lowest Fault Rate, but impractical.

Least Recently Used (LRU)

Unlock Audio Lesson

0:00
Teacher
Teacher

Finally, let's dive into the Least Recently Used (LRU) algorithm. What makes it different from FIFO?

Student 4
Student 4

It replaces the page that hasn't been used for the longest time, right?

Teacher
Teacher

Yes! LRU tries to keep frequently accessed pages in memory, which helps reduce faults. However, it requires tracking all access times.

Student 3
Student 3

That sounds complicated. How do we keep track of the last access time for each page?

Teacher
Teacher

Great question! That tracking can be tricky and often requires additional hardware support, which is why LRU isn’t always used.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section discusses the concepts of page faults and fault rates in memory management algorithms.

Standard

The section explores how different page replacement algorithms, such as FIFO, Optimal, and LRU, affect the rate of page faults in memory management. It provides examples to illustrate page fault scenarios and outlines the importance of managing page faults to optimize memory usage.

Detailed

Fault Rate

This section focuses on the concept of page fault rates within different memory management algorithms, particularly FIFO, Optimal, and Least Recently Used (LRU) algorithms.

  • Page Faults: When a program accesses a page that is not currently stored in physical memory, a page fault occurs, necessitating loading the page into memory. The first few page faults encountered while filling memory frames are classified as compulsory misses.
  • FIFO Algorithm: The first-in-first-out approach replaces the oldest page in memory, regardless of how frequently it has been accessed. This method can lead to a high page fault rate due to its lack of consideration for page usage frequency.
  • Optimal Page Replacement: Introduces the theoretical implementation of an optimal page replacement strategy which replaces the page that will not be referenced for the longest future time. While it's impractical, this method establishes a benchmark with the lowest possible fault rate.
  • Least Recently Used (LRU): Focuses on maintaining pages that have been used most recently, but depends on accurate tracking of the last access time. While promising, LRU poses implementation challenges due to required hardware support.

Overall, understanding these algorithms' page fault rates and methodologies is crucial for efficient memory management.

Youtube Videos

One Shot of Computer Organisation and Architecture for Semester exam
One Shot of Computer Organisation and Architecture for Semester exam

Audio Book

Dive deep into the subject with an immersive audiobook experience.

Understanding Memory Accesses and Page Faults

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

So, consider the reference string 2 0 1 6 4 2 0 1 6 4 0 1 0 3 1 2 1. Now here I have 4 page frames, let us say my physical memory only has 4 page frames available and these are the set of memory accesses. So, initially there is nothing in the physical memory. So, the first 4 misses are compulsory misses and. So, I bring in 0, 2, 1, 6, 0, 2, 1, 6 missed and then what happens 4 comes in whom will 4 replace 0 was the first one to; 0 was the first one to come into memory. So, the 0 is the oldest. So, 0 is replaced and with 4.

Detailed Explanation

This chunk presents a scenario where memory accesses are tracked based on a sequence of integers (2, 0, 1, 6, etc.). The concept of page faults is introduced. A page fault occurs when a program attempts to access a page that is not currently in physical memory. In this case, the first four numbers in the sequence (0, 2, 1, 6) are 'compulsory misses,' meaning they must be loaded into memory because they are accessed for the first time. When the reference number 4 is accessed, it replaces the oldest page in memory which was '0' because it was the first one to be loaded and is therefore the oldest.

Examples & Analogies

Imagine a classroom with only four student desks. If a teacher calls the names of students (the page accesses) in a sequence and has to add new students to fill these desks (the page frames), the first four names called can sit down, but when a fifth student (a new page reference) arrives, the teacher must choose one of the sitting students to leave, preferably the person who got seated first, to make room. This shows how limited space (physical memory) can lead to compulsory misses.

Calculating Page Fault Rate

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

Now, 0 is accessed again, now 0 is not there in the physical memory. So, 0 will again lead to another page fault and. So, whom will it replace 2 is now the oldest one which came into memory. So, 0 replaces 2 then what happens one comes again one is referenced again this one does not result in a miss this one is already there in main memory. And this is not a miss, then 0 this also does not incur a miss 0 is already there in memory, it does not incur a miss then 3 is accessed when 3 is accessed 3 is not there in physical memory whom will it replace? It will replace the oldest one because 0 2 1 6 was the order.

Detailed Explanation

In this step, the algorithm processes page accesses logically. When 0 is accessed again, it's not in memory, which causes a page fault. The algorithm opts to replace page 2 since it is the oldest page present. Next, when page 1 is requested, it’s already in memory, so there is no fault. Similarly, 0 does not incur a miss as it's been reloaded. When page 3 is accessed and not found in memory, the same replacement logic applies, and the oldest page (which had been 1) is evicted in favor of loading 3.

Examples & Analogies

Think of a game of musical chairs where only a few players can be seated at the same time. When a new player (page access) comes in and there are no empty chairs, the one who was seated the longest must leave to make space, regardless of how actively they've been playing! This illustrates the concept of page fault and replacement.

Understanding LRU and its Complications

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

FIFO although is very simple, I find out the oldest page in memory and replace it, this is the algorithm, it’s a poor replacement policy why it evicts the oldest page in the system and it does not take care whether this page is being heavily used currently or not.

Detailed Explanation

The First-In-First-Out (FIFO) page replacement algorithm is introduced as a straightforward approach to managing page faults. However, it is considered poor because it does not account for how frequently a page is accessed. This means that it may evict pages that are still heavily used while keeping older pages that are less useful. Thus, while FIFO is simple, its ineffectiveness showcases the need for better algorithms.

Examples & Analogies

Imagine a library leveraging FIFO to remove old books from shelves. It simply takes the oldest books regardless of whether they are bestsellers (frequently accessed) or not. This could lead to the removal of popular titles, while lesser-known, outdated ones are retained, making it inefficient!

Optimal Page Replacement Algorithm

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

Before proceeding to the next actual algorithm, we will go into a hypothetical actual algorithm which cannot exist in practice, but is used as a measure of comparison for all other algorithms. So, this one is called the optimal page replacement algorithm what is the basic idea of the algorithm is that will not be referenced for the longest time in the future.

Detailed Explanation

Here, a theoretical and idealized page replacement strategy is introduced: the optimal page replacement algorithm. This algorithm strives to replace the page that will not be referenced for the longest period. However, since we can't predict future events in a real-world context, this algorithm remains impractical, yet it provides a benchmark for assessing the effectiveness of real replacement algorithms.

Examples & Analogies

Imagine a manager who can foresee which employees will be away the longest in the future. This manager would choose to retain the employees that are needed soonest for upcoming projects. While this foresight sounds ideal, managers face uncertainty about future workloads, mirroring the impractical nature of this algorithm.

Comparative Advantage of LRU Over FIFO

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

Now we take the same reference string again same set of 12 references on this the first 4 are again compulsory, these are compulsory, these are compulsory and then the fourth one replaces whom the fourth one replaces. So, all because it will replace 0 the 4 will replace 0 because all have been used once and the least recently used is 0.

Detailed Explanation

This chunk highlights the application of the Least Recently Used (LRU) algorithm on a set of references. By applying the LRU algorithm rather than FIFO, the sequences that are most recently accessed are retained, reducing the overall page faults. When page 4 is introduced, it replaces the least recently used page, which is more effective than simply evicting the oldest page as seen in FIFO.

Examples & Analogies

In a game where players can only keep their most recently used power-ups, the system ensures that the players are allowed to hold onto the abilities they’ve used lately, rather than losing them altogether to make room for an entirely unrelated item from earlier. This maximizes their operational efficiency based on current needs.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Page Fault: Occurs when a page is not in memory.

  • Compulsory Miss: Initial page faults when pages are accessed for the first time.

  • FIFO: Replaces the oldest page, leading to possible inefficiencies.

  • Optimal: Theoretically best algorithm with the lowest fault rate, but not practical.

  • LRU: Replaces the least recently accessed page, requiring tracking of access times.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • In a reference string of 12, if we have 4 page frames, the accesses that lead to page faults can be calculated to determine the fault rate.

  • Using FIFO, if 0, 2, 1, 6 are accessed initially, they will all be misses, while accessing 4 next will evict the oldest page.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • Page faults come and page faults go, / But FIFO's old and hard to know.

📖 Fascinating Stories

  • Imagine running a race. FIFO removes the runner that started first, regardless if they are winning, while LRU keeps the strongest runner who has run the longest!

🧠 Other Memory Gems

  • FOOL (FIFO, Optimal, LRU) - Remember the order of learning these page replacement algorithms: First in is Left; Optimal is Over; Least Used is Last.

🎯 Super Acronyms

LOF (Least Optimal First) - Our method to remember

  • Least Recently Used is often better than FIFO!

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Page Fault

    Definition:

    An event that occurs when a program accesses a page not currently loaded in physical memory.

  • Term: Compulsory Miss

    Definition:

    The initial page faults that occur when pages are accessed for the first time.

  • Term: FIFO (FirstInFirstOut)

    Definition:

    A page replacement algorithm that replaces the oldest page in memory.

  • Term: Optimal Page Replacement

    Definition:

    An ideal algorithm that replaces the page with the longest future request time, providing the lowest fault rate, but is impractical.

  • Term: LRU (Least Recently Used)

    Definition:

    A page replacement algorithm that replaces the page that hasn't been used for the longest period of time.