Calculating Size of Distributed File Systems

Homework Assignment #2 – Calculating Size of Distributed File Systems

Exercise 3-1 Imagine that you want to analyze one terabyte (1 TB) of data that is residing in a single machine with eight input/output channels, where each channel has a reading speed of 150 megabytes per second

(MB/s).

1. Calculate the time it takes for the reader to read the entire file.

2. To speed up the reading operation, consider adding more machines and creating a distributed cluster. What is the minimum number of machines you should install in the cluster so the entire read time is less than 10 seconds?

1. Calculate the time it takes for the reader to read the entire file.

Introduction

Imagine that you want to analyze one terabyte (1 TB) of data that is residing in a single machine with eight input/output channels, where each channel has a reading speed of 150 megabytes per second.

10.0

The reader can read the entire file in 21 milliseconds.

To calculate this, you need to know how many bytes are in a megabyte (MB). A megabyte is equal to 1,000 kilobytes, which means there are actually 1,000 bytes per MB. The same number applies for gigabytes: 1 billion or 1 million KBs make up a gigabyte. So when calculating time for reading data from one computer system with eight input/output channels and each channel having a reading speed of 150 MB/s, we get:

  • Number of bytes in one terabyte = 8x150x1000=871,200 MB
  • Time taken by reader = 21 ms

1.42*10^-9

  • 42*10^-9

This is the number of seconds it would take for the reader to read the entire file, assuming that it’s reading at 150 MB/s.

If you’re wondering why we are using such a large number, it’s because we want to be able to account for all possible speeds (including ones where reading takes longer than one hour).

21 ms

To calculate the time it takes for your reader to read the entire file, you will need to know how many bytes there are in 1 TB. The answer is that there are approximately 200 billion bytes in a terabyte (1 TB). In order for your reader to read one full terabyte of data, it needs approximately 21 ms.

To find out how long this might take on its own system:

  • First, determine how many channels there are in your specific machine by multiplying 786 GB/s by 8 channels = 534 MB/s per channel; then multiply that number times 100% = 535 MB/s total available bandwidth on each channel; finally divide this total number by 60 seconds per minute = 3 times every second during this entire process!

The reader can read the entire file in 21 milliseconds.

The reader can read the entire file in 21 milliseconds. This is fast, and it means that it takes about 21 milliseconds for the reader to read the entire file. In other words, if you had one terabyte (1 TB) of data that was residing in a single machine with eight input/output channels, each channel having a reading speed of 150 MB/s , then:

  • The total time it would take for your reader to read all of this data would be 21/150 = 0.05 second per byte or 0.5ms per KB!

Conclusion

We have successfully calculated the time it takes for a reader to read an entire file. The reader can read the entire file in 21 milliseconds, which is much faster than the one-hour limit we had set prior. This method can be used to create custom hardware or software solutions that are capable of reading large amounts of data in a short amount of time.

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