Gennan's Time Equations


These are a set of equations created by OGS forum contributor gennan, in order to establish a comparable value for various types of time control.

He proposed them in [ext] this post from December 2021.

gennan begins by establishing an estimate for the expected number of moves per player in a scored game, generalised for board size and shape.

numberOfMovesPerPlayer = round(boardWidth * boardHeight / 3)

This value forms the base of the equations, which produce a value that he calls totalTimePerPlayer.

Time control Head 1st term 2nd term 3rd term 4th term
Byoyomi totalTimePerPlayer equals mainTime + (numberOfMovesPerPlayer + periods - 1) * byoyomi * 0.75
Canadian totalTimePerPlayer equals mainTime + (numberOfMovesPerPlayer / stonesPerPeriod) * overtimePeriod * 0.75
Fischer totalTimePerPlayer equals initialTime + min(fischerMaxTime, numberOfMovesPerPlayer * increment)
Simple totalTimePerPlayer equals numberOfMovesPerPlayer * timePerMove * 0.75

He continues:

timePerMove = totalTimePerPlayer / numberOfMovesPerPlayer

Both totalTimePerPlayer and timePerMove seem to represent seconds.

Gennan's Time Equations last edited by bugcat on February 14, 2022 - 00:28
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