Pipeline information delay without awareness



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The real output y is the real input delayed by a fixed delay time which can be constant (delayTime) or variable (u_delayTime) during the simulation.

y[t] = u[t - delayTime]

The input signal is thus effectively shifted forward in time.

During an initial period (at most as long as the initial delayTime or the maximumDelayTime when the delay time can vary over time), we need to provide information about the historical input u (e.g., the input before the start time of the simulation). The historical input can either be given by a constant value (either the initialValue or the initial input u) or by a function of time (usually a TableFunction), that will take the output connector y_lookupTime  as input and then provide the relevant historical input via the input connector u_history.


  • The behavior for DelayInformation and DelayFixed are quite similiar, but there is a subtle difference:

    The DelayInformation models the delay in perceiving information where the recipient is aware of the delay time and thus will disregard informatiion that is older than the one he already has.

    In the case of a DelayFixed we will strictly delay any information given the actual delay time at any point in time and thus may receive information that is actually older than previous information when the delay time increases.

  • Since information is stored within the component, a rectangle is used for the component to be reminiscent of a stock.

  • The DelayFixed is an information delay, that is used to model delays in updating beliefs and perceptions; unlike a material delay matter is not conserved [20]. 

  • The parameter init in the Advanced tab allows to select →InitializationOptions:
    • FixedValue (default) will use the parameter initialValue to determine the initial output y.

    • SteadyState will set the initial output y equal to the initial input u.

    • Free there will be no initial equation and thus the solver is free to find an initial output using initialValue as an initial guess.

See also

DelayInformationSmooth, SmoothNConveyor

Parameters (6)


Value: 1

Type: Time (s)

Description: Constant delay time (optional)


Value: 50

Type: Time (s)

Description: Maximal value allowed for delay time (needed for variable delay time)


Value: 0

Type: Real

Description: Initial constant output, if no exogenous history is given


Value: true

Type: Boolean

Description: = true, if the delay time is given by the parameter 'delayTime'


Value: false

Type: Boolean

Description: = true, if the input 'u_history' gives the output for an initial period, otherwise the initial output will remain constant until delayTime is reached


Value: modelSettings.init

Type: InitializationOptions

Description: Provide InitializationOptions (Free, FixedValue, SteadyState)

Connectors (5)


Type: RealInput

Description: Input


Type: RealOutput

Description: Output signal


Type: RealInput

Description: Historical input to be used in an initial period (up to maximumDelaytime)


Type: RealOutput

Description: Time for looking up historical input


Type: RealInput

Description: Delay time input

Components (13)


Type: ModelSettings

Description: Setting important global variables within a model


Type: Add_2

Description: The modelStartTime plus the actual delayTime


Type: ConstantConverterTime

Description: The model's start time


Type: ConstantConverterTime

Description: Constant delay time (optional)


Type: ConstantConverter

Description: Initial output if not history is given


Type: Clip

Description: DelayTime has to be in the interval (dt, maximumDelayTime)


Type: VariableDelay

Description: Delay block with variable DelayTime


Type: PassThrough

Description: Output is identical to input


Type: TimeInput

Description: Provide time since start time (=0)


Type: Less

Description: Is historical trajectory needed for output?


Type: Switch

Description: Either return historical value or delayed input


Type: FixedDelay

Description: Delayed input with constant delay time


Type: Gap

Description: Time that needs to be looked up in historical input data

Used in Components (1)



Periodic reporting of a financial flow for the past accounting period


  • Removed unused parameter in v2.2.