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zD%2h>-FM9X$6t?_g4Y>5x>c1`myCA364Z~{ZVc?k7@I|vzDoS-vuRT})T{$OLIMis zmt2Mm0IR0cI~;Z$tbJ;mT=@5I?~d0SkNsHtq;X34VONl|A4KiPTLq>roqb$AR_>He`wLtzUYnc2uEg|&<9o=`KfAHP1aIX za9DSxPmdKI;Vst05m97Bme*a diff --git a/docs/src/modules/ROOT/pages/optimization-algorithms/overview.adoc b/docs/src/modules/ROOT/pages/optimization-algorithms/overview.adoc index cb0445d15b..effdeb4b72 100644 --- a/docs/src/modules/ROOT/pages/optimization-algorithms/overview.adoc +++ b/docs/src/modules/ROOT/pages/optimization-algorithms/overview.adoc @@ -583,49 +583,44 @@ the solver improved the solution and how much time has passed without any improv Let's consider a solution process based on the following image. -image::optimization-algorithms/overview/terminationSingleFlatLine.png[align="center"] +image::optimization-algorithms/overview/terminationNoImprovement.png[align="center"] In the previous image, the unimproved time is represented by the flat red line. With the stop condition `stopFlatLineDetectionRatio` set to `0.5`, -and considering that the last best score was achieved at `10 seconds`, -the solver will terminate the process if no improvement is found within a maximum of 5 seconds. -This `5-seconds` limit is calculated -by multiplying the last improvement time (`10 seconds`) by the `stopFlatLineDetectionRatio` (`0.5`). +and considering the start point at `10 seconds`, the last best score achieved at `70 seconds`, +the solver will terminate the process if no improvement is found within a maximum of `30 seconds`. +This `30-seconds` limit is calculated +by multiplying the last improvement time (`70s - 10s = 60 seconds`) by the `stopFlatLineDetectionRatio` (`0.5`). Similarly, -setting the `stopFlatLineDetectionRatio` to `1.0` will lead to termination after `10 seconds` if there is no improvement. +setting the `stopFlatLineDetectionRatio` to `1.0` will lead to termination after `60 seconds` if there is no improvement. [NOTE] ==== The `Termination` process requires a minimum execution time, specified by `minimalExecutionTimeSeconds`. ==== -The solving process may identify points for improvement after periods of no progress -that are not significant enough to trigger the termination. -These periods are referred to as non-stop periods, which are defined by the `noStopFlatLineDetectionRatio`. +The solving process may identify no improvement periods that are not significant enough to trigger the termination. +These periods are referred to as *non-stop* periods, which are defined by the `noStopFlatLineDetectionRatio`. Let's analyze the next image: -image::optimization-algorithms/overview/terminationMultipleFlatLines.png[align="center"] +image::optimization-algorithms/overview/terminationNonStopCriteria.png[align="center"] -The orange flat line represents a non-stop period. +The orange flat line represents a *non-stop* period. By setting the `stopFlatLineDetectionRatio` to `0.5` and the `noStopFlatLineDetectionRatio` to `0.1`, -we can calculate the unimproved stop period as `8 * 0.5 = 4s`, -while the unimproved non-stop period is calculated as `8 * 0.1 = ~1s`. -The difference between the solutions found at `8 seconds` and `10 seconds` is `2 seconds`. -A flat line is accepted if the time difference between the solutions is greater -than or equal to the non-stop period and less than the stop period. - -Accepting a non-stop flat line means adjusting the start time to the last improvement time. -In the previous example, the start time will change from `0` to `8` seconds. - -As more time passes, the flat line must be longer to trigger termination. -Beginning at `0 seconds`, -the termination criterion will only be activated after `15 seconds` of no improvement: `30s * 0.5 = 15s`. -If we start counting from `8 seconds`, the time allowed for unimproved performance adjusts to `(30s - 8s) * 0.5 = 11s`. - -Evaluating the stopping criterion only from the beginning of the solving process may prevent the solver from terminating, -as the necessary period without improvement tends to increase. +we can calculate the unimproved stop period as `(70s - 10s) * 0.5 = 30s`, +while the unimproved non-stop period is calculated as `(70s - 10s) * 0.1 = 6s`. +The difference between the solutions found at `70 seconds` and `82 seconds` is `12 seconds`. +A *non-stop* period is accepted if the time difference between the last best solution and the new one is greater +than or equal to the *non-stop* period and less than the stop period. + +Accepting a *non-stop* stop period means adjusting the start time to the last improvement time. +In the previous example, the start time will change from `10` to `70` seconds. + +Evaluating the stopping criterion only at the beginning of the solver process may prevent it from terminating, +as the necessary period without improvement tends to increase over time. Adjusting the start time enables the solver -to advance its termination analysis when the solution remains unchanged for a specific duration. +to advance its termination analysis when the solution remains unchanged for a specific duration, +and terminate the solver after evaluating more recent events. [NOTE] ====

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