writing optimization function


i'm perplexing tennis reservation component i got stucked problem.
let's contend have players prefs per probity number, hour.
also each actor ranked there day/hour container there several players
with preferences container tip priority should chosen.
i'm pondering controlling optimization algorithms solve problem nonetheless i'am certain best cost duty and/or algorithm use.
any advice?
one some-more thing i move python nonetheless language-agnostic recommendation acquire also.
thanks!



edit:



some clarifications-



the improved priority wins limb changed nearest slot,
rather stretchable slots question
yes, maximizing array removing many rarely preffered times



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