COMP3511 – Solved

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Description

PA2: Simplified Linux Completely Fair Scheduler (CFS)

The Linux kernel implements a completely fair scheduler (CFS). Upon completion of the project, students should be able to understand the details of CFS (a process scheduling algorithm used in Linux operating system) and how to implement a simplified CFS.

Please note that the details of CFS are not covered in the lecture notes. This project description describes the detailed requirements of implementing a simplified CFS. In addition, you are highly recommended to attend the corresponding project-related lab.
Program Usage

You need to implement a program that simulates a CFS to schedule several processes. The program name is cfs. Here is the sample usage:

$> ./cfs < input.txt > output.txt

$> represents the shell prompt.
< means input redirection, which is used to redirect the file content as the standard input
> means output redirection, which is used to redirect the standard output to a text file Thus, you can easily use the given test cases to test your program and use the diff command to compare your output files with the sample output files.

Getting Started

cfs_skeleton.c is provided. You should rename the file as cfs.c

You can add new constants, variables, and helper functions

Necessary header files are included. You should not add extra header files.

Assumptions
• There are at most 10 different processes
• There are at most 300 steps in the Gantt chart

Some constants and helper functions are provided in the starter code. Please read the skeleton code carefully.

Input Format

The input parsing is given in the skeleton code. It is useful to understand the input format.
All values are either integers or strings

You can assume that all values are valid.
• For example, num_process must be a positive integer less than or equal to 10, and so on…

Empty lines and lines starting with # are ignored.
• Without these comment lines, it is very hard to understand the input file.

Format of constant:
• name = <value>

Format of vector (i.e., an array of value):
• name = <values of the vector>

Output Format

The output consists of 3 regions:
• Displaying the parsed values from the input
• Displaying the intermediate steps of the CFS algorithm
• Displaying the final Gantt chart

The sample output file based on the sample input file:

The above Gantt chart string is equivalent to the following Gantt chart:

Completely Fair Scheduler (CFS) Overview

In this course, you learned several scheduling algorithms. Most of them are based around the concept of fixed time slice. In contrast, CFS uses a simple counting-based technique called virtual runtime (vruntime). vruntime is a floating-point value.

Each process has its vruntime, with a default value 0.0
As each process runs, it accumulates vruntime. When a scheduling decision occurs, CFS will pick an unfinished process with the smallest vruntime to run next.

CFS has the following 3 configuration strategies:
• Scheduler Latency (sched_latency)
• Minimum Granularity (min_granularity)
• Controlling the process priority

CFS Concept: Scheduler Latency (sched_latency)

CFS uses sched_latency, with a typical value like 48ms, to determine how long one process should run before considering a switch. If we have 2 processes, without considering the process priority, the per-process time slice is equal to: 48/2 = 24ms

In the later section, CFS Concept: Controlling the process priority, we will discuss how to calculate the per-process time slice when the process priority is considered.
CFS Concept: Minimum Granularity (min_granularity)

In the previous example, the per-process time slice is equal to 24ms, so we don’t need to change the per-process time slice because it is larger than min_granularity (6ms).

For example, if there are 12 processes and sched_latency is 48ms. Per-process time slice is 48/12 = 4ms, which is smaller than min_granularity (6ms). The per-process time slice will be set to 6ms

CFS Concept: Controlling the process priority

CFS enables controls over process priority, enabling users to give some processes a higher/lower share of the CPU. The classic UNIX (i.e., the predecessor of Linux) mechanism known as the nice level is adopted.

The nice parameter can be set anywhere from -20 to 19 for a process, with a default nice value 0. Positive nice values imply lower priority and negative values imply higher priority.

CFS maps the nice values (defined in Unix/Linux) to the CFS weights:
• Note: The following mapping is implemented in the skeleton code

static const int DEFAULT_WEIGHT = 1024; static const int NICE_TO_WEIGHT[40] = {
88761, 71755, 56483, 46273, 36291, // nice: -20 to -16
29154, 23254, 18705, 14949, 11916, // nice: -15 to -11
9548, 7620, 6100, 4904, 3906, // nice: -10 to -6
3121, 2501, 1991, 1586, 1277, // nice: -5 to -1
1024, 820, 655, 526, 423, // nice: 0 to 4
335, 272, 215, 172, 137, // nice: 5 to 9
110, 87, 70, 56, 45, // nice: 10 to 14
36, 29, 23, 18, 15, // nice: 15 to 19 };

These weights allow us to compute the effective time slice of each process, but now accounting for their priority differences. Here is the exact formula:

• weight refers to the weighting of the process, which is looked up from the table
• sched_latency is the value read from the input
• sum_of_weight refers to the total sum of the per-process weighting

(int)((double) weight * sched_latency / sum_of_weight);

Suppose we have the following 2 processes; the time slices are calculated at the last column of the following table:

• Note 1: sum_of_weight = 3121+1024 = 4145
• Note 2: both time slices are larger than min_granularity (6ms)

Process Burst Time Nice Value Weight (from table) Time slice (calculated)
P0 60 -5 3121 36
P1 30 0 1024 11

CFS Concept: Updating vruntime

By considering the weighting, the following formula is used to update the vruntime. The formula is:

• DEFAULT_WIGHT is equal to 1024
• vruntime refers to the current vruntime
• runtime refers to how much time the process run
• weight refers to the weighting of the process (see the previous section)

vruntime + (double) DEFAULT_WEIGHT / weight * runtime;

Simplified CFS: How to pick the next process to run?

In each step, we need to pick an unfinished process with the smallest vruntime to run next. If there are more than one such processes having the same smallest vruntime, pick the process with the smallest process ID. For example, if both P0 and P1 have the smallest vruntime, we pick P0 because it has a smaller process ID.

In the Linux kernel CFS implementation, a data structure named as red-black tree should be used. Red-black tree is one of many types of balanced trees, which gives a logarithmic running time for each query.

In this project, you DO NOT need to implement the red-black tree data structure. In each step, you only need to search the whole list of process to find the process with the smallest vruntime, with the worst-case linear running time.
A Step-by-Step CFS Example

In the initial step (step0):

Process Weight Remain Time Time slice vruntime
P0 3121 60 36 0.00
P1 1024 30 11 0.00

Please note that 2 decimal places are used to display vruntime

P0 is picked to run because it has the smallest vruntime. Indeed, both P0 and P1 have the smallest vruntime, but P0 is the process having the smallest process ID. P0 runs for 36ms, and the vruntime is updated based on the above formula. The table is updated as follows:

Process Weight Remain Time Time slice vruntime
P0 3121 24 36 11.81
P1 1024 30 11 0.00

P1 is picked to run because it has the smallest vruntime. P1 runs for 11ms, and the vruntime is updated based on the above formula. The table is updated as follows:

Process Weight Remain Time Time slice vruntime
P0 3121 24 36 11.81
P1 1024 19 11 11.00

P1 is picked to run because it has the smallest vruntime. P1 runs for 11ms, and the vruntime is updated based on the above formula. The table is updated as follows:

Process Weight Remain Time Time slice vruntime
P0 3121 24 36 11.81
P1 1024 8 11 22.00

P0 is picked to run because it has the smallest vruntime. P0 runs for 24ms (Note: The remaining time is smaller than the time slice) and the vruntime is updated based on the above formula. The table is updated as follows:

Process Weight Remain Time Time slice vruntime
P0 3121 0 36 19.69
P1 1024 8 11 22.00

P1 is picked to run (Note: Even P0 has the smallest vruntime, but P0 is already finished, thus P1 is a process having the smallest vruntime in the current process list). P1 runs for 8ms (Note: The remaining time is smaller than the time slice) and the vruntime is updated based on the above formula. The table is updated as follows:

Process Weight Remain Time Time slice vruntime
P0 3121 0 36 19.69
P1 1024 0 11 30.00

Now, all processes are finished. The final Gantt chart is:

Compilation

The following command can be used to compile the program

$> gcc -std=c99 -o cfs cfs.c

The option c99 is used to provide a more flexible coding style (e.g., you can define an integer variable anywhere within a function)

Given Test Cases

Several test cases (both input files and output files) are provided.

$> diff –side-by-side your-outX.txt sample-outX.txt

Hidden Test Cases

Sample Executable

The sample executable (runnable in a CS Lab 2 machine) is provided for reference. After the file is downloaded, you need to add an execution permission bit to the file. For example:

$> chmod u+x cfs
Development Environment

CS Lab 2 is the development environment. Please use one of the following machines (csl2wkXX.cse.ust.hk), where XX=01…40. The grader will use the same platform.

In other words, “my program works on my own laptop/desktop computer, but not in one of the CS Lab 2 machines” is an invalid appeal reason. Please test your program on our development environment (not on your own desktop/laptop) thoughtfully before your submission, even you are running your own Linux OS. Remote login is supported on all CS Lab 2 machines, so you are not required to be physically present in CS Lab 2.

Marking Scheme

1. Make sure you use the Linux diff command to check the output format.
2. Please fill in your name, ITSC email, and declare that you do not copy from others. A template is already provided near the top of the source file.
3. Correctness of the given test cases (50 marks)
a. The given test cases are equally weighted.
b. The sum will be normalized to 50 marks.
c. There won’t be partial credits for each test case.
4. Correctness of the hidden test cases (50 marks)
a. The hidden test cases are equally weighted.
b. The sum will be normalized to 50 marks.
c. There won’t be partial credits for each test case.

Submission

File to submit:

cfs.c

Please check carefully you submit the correct file. Canvas will rename the submitted file if you submit more than one time, so you don’t need to worry about the renaming in Canvas.

In the past semesters, some students submitted the executable file instead of the source file. Zero marks will be given as the grader cannot grade the executable file.

You are not required to submit other files, such as the input test cases.
Late Submission

References

This project is modified based on the discussion of CFS in Chapter 9 – Scheduling:
Free book chapters are available: https://pages.cs.wisc.edu/~remzi/OSTEP/#book-chapters

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