SmoothFirstorder exponential smooth 
This information is part of the Business Simulation Library (BSL).
A smooth is a firstorder exponential information delay. It is typically used to model time lags in forming an expectation or in perceiving some information.
Inside the converter there actually is a stock x that stores the perceived or expected value of the information input u. The output y is derived immediately from x as can be seen from these equations where τ denotes the delayTime
:
delayTime
given (either as constant parameter or continuous signal) will be clipped to a minimum value of modelSettings.dt
, which denotes the smallest possible process time anywhere in the model. The time of delay for the process of information perception or expectation formation can thus never be zero or negative.init
in the Advanced tab allows to select →InitializationOptions:initialValue
to determine the initial output y.initialValue
as an initial guess.delayTime 
Value: 1 Type: Time (s) Description: Constant delay time (optional) 

initialValue 
Value: 0 Type: OutputType Description: Output at startTime 
init 
Value: modelSettings.init Type: InitializationOptions Description: Provide InitializationOptions (Free, FixedValue, SteadyState) 
hasConstantDelayTime 
Value: true Type: Boolean Description: = true, if delayTime is given by the parameter instead of the input 
u 
Type: RealInput Description: Input 


y 
Type: RealOutput 

u_delayTime 
Type: RealInput Description: Delay time 
modelSettings 
Type: ModelSettings 


changingPerception 
Type: ExogenousChange 

gap 
Type: Gap Description: Difference between acutal information and perceived information 

rateOfChange 
Type: Division_Guarded Description: Rate of change in perceived information 

perceivedInformation 
Type: InformationLevel Description: Smoothed information 

positiveDelayTime 
Type: ClipProcessTime Description: Delay time shall never be less than dt 

parDelayTime 
Type: ConstantConverterTime Description: Constant delay time (optional) 
BusinessSimulation.Examples Human resource planning 