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