Simulation.Aivika.Signal.Random

Tested with: GHC 8.0.1

This module defines random signals of events, which are useful for describing the input of the model.

Signal of Random Events

newRandomSignal

Arguments

:: Parameter (Double, a)

compute a pair of the delay and event of type a

-> Composite (Signal (Arrival a))

the computation that returns a signal emitting the delayed events

Return a signal of random events that arrive with the specified delay.

newRandomUniformSignal

Arguments

:: Double

the minimum delay

-> Double

the maximum delay

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Create a new signal with random delays distributed uniformly.

newRandomUniformIntSignal

Arguments

:: Int

the minimum delay

-> Int

the maximum delay

-> Composite (Signal (Arrival Int))

the computation of signal emitting random events with the delays generated

Create a new signal with integer random delays distributed uniformly.

newRandomTriangularSignal

Arguments

:: Double

the minimum delay

-> Double

the median of the delay

-> Double

the maximum delay

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Create a new signal with random delays having the triangular distribution.

newRandomNormalSignal

Arguments

:: Double

the mean delay

-> Double

the delay deviation

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Create a new signal with random delays distributed normally.

newRandomLogNormalSignal

Arguments

:: Double

the mean of a normal distribution which this distribution is derived from

-> Double

the deviation of a normal distribution which this distribution is derived from

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Create a new signal with random delays having the lognormal distribution.

newRandomExponentialSignal

Arguments

:: Double

the mean delay (the reciprocal of the rate)

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays distibuted exponentially with the specified mean (the reciprocal of the rate).

newRandomErlangSignal

Arguments

:: Double

the scale (the reciprocal of the rate)

-> Int

the shape

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays having the Erlang distribution with the specified scale (the reciprocal of the rate) and shape parameters.

newRandomPoissonSignal

Arguments

:: Double

the mean delay

-> Composite (Signal (Arrival Int))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays having the Poisson distribution with the specified mean.

newRandomBinomialSignal

Arguments

:: Double

the probability

-> Int

the number of trials

-> Composite (Signal (Arrival Int))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays having the binomial distribution with the specified probability and trials.

newRandomGammaSignal

Arguments

:: Double

the shape

-> Double

the scale (a reciprocal of the rate)

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays having the Gamma distribution by the specified shape and scale.

newRandomBetaSignal

Arguments

:: Double

the shape (alpha)

-> Double

the shape (beta)

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays having the Beta distribution by the specified shape parameters (alpha and beta).

newRandomWeibullSignal

Arguments

:: Double

shape

-> Double

scale

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays having the Weibull distribution by the specified shape and scale.

newRandomDiscreteSignal

Arguments

:: DiscretePDF Double

the discrete probability density function

-> Composite (Signal (Arrival Double))

the computation of signal emitting random events with the delays generated

Return a new signal with random delays having the specified discrete distribution.