This is a reformatted version of Dijkstra's "The Mathematics Behind the Banker's Algorithm" with half a page of comments regarding some interesting possibilities for optimization.
https://drive.google.com/file/d/0B9MgWvi9mywhTno5Y0VLakZDNGpTYW5jUHI3M0xLenZsdlhF/view?usp=sharing
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