How can we measure Fragmentation/ discontinuity ?

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SUMMARY

This discussion focuses on measuring fragmentation and discontinuity within a system. Key methods include counting the number and types of discontinuities and utilizing the fractal dimension for adaptability in definitions and techniques. A specific formula is provided to quantify fragmentation: (free - freemax) / free x 100%, where 'free' represents the total number of bytes free and 'freemax' is the size of the largest free block. This formula indicates that fragmentation is 0% when memory is in one large block and approaches 100% when memory is divided into many small blocks.

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How can we measure Fragmentation/ discontinuity in a system?
 
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We can count number and types of discontinuities. Also the fractal dimension might be useful in a sense that it's definitions / techniques might be adaptable.
 
It depends exactly what you mean by "fragmentation in system" - but one simple formula you could use would be:

(free - freemax)
---------------- x 100% (or 100% for free=0)
free
where

free = total number of bytes free
freemax = size of largest free block
That way, if all memory is in one big block, the fragmentation is 0%, and if memory is all carved up into hundreds of tiny blocks, it will be close to 100%.
 

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