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It is just a matter of how many trial swaps are needed to make it happen.
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However, the algorithm does not know when to stop, and we therefore need to estimate how many iterations (trial swaps) should be applied.
The processing time of the algorithm depends on how many iterations (trial swaps) are needed, and how much time each iteration takes.
In parentheses there are number of trial swaps (random swap) or repeats (repeated K-means) applied.
We first performed one million trial swaps (A1, B1, C1) and then continued further to 8 million trial swaps, in total (A8, B8, C8).
Eight of the trial swaps improves the sum of squared error (SSE) and are thus accepted.
RS achieves the correct clustering in less than 1 min using (606, 2067, 98) trial swaps.
The process of the algorithm is demonstrated in Fig. 4 with T = 5000 trial swaps.
Fig. 13 Distribution of the number of trial swaps needed in reality for S1 and S4 (10,000 repeats).
However, since the algorithm is iterated long, much more trial swaps can be tested within the same time.
Time-distortion results are summarized in Fig. 16 showing also the number of trial swaps (RS) and repeats (RKM).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com