.BusinessSimulation.Converters.Lookup.JanoschekPositive .BusinessSimulation.Converters.Lookup.JanoschekPositiveThis information is part of the Business Simulation Library (BSL). Please support this work and ► donate.
Many natural growth processes can be very closely described by s-shaped parametric functions (e.g., logistic curve). A. Janoschek [19] has proposed a growth curve that is determined by four parameters in 1957, which is very similar to the Weibull growth curve.
The function is given by the following equation:
Where l is the upper bound, β is the lower bound, and δ is a parameter that determines the rate of growth (e.g., steepness of the curve). Given the point of inflection (x_ref,y_ref) the parameter k can be obtained in closed form, which is made use of in this implementation.
The following animation shows a growth curve with the following parameters:
| Parameter | Value |
|---|---|
upperBound |
2 |
lowerBound |
0.1 |
(x_ref, y_ref) |
(1,1) |
growthRate |
1, ... ,10 |
lowerBound must be smaller than the upperBound. Also y_ref needs to be in the range [lowerBound, upperBound], while x_ref has to be a positive number larger than zero.strict = true) the component will not generate events.x_ref to InputType in v2.2.