Copyright	Copyright (c) 2009-2017 David Sorokin <david.sorokin@gmail.com>
License	BSD3
Maintainer	David Sorokin <david.sorokin@gmail.com>
Stability	experimental
Safe Haskell	Safe-Inferred
Language	Haskell2010

Simulation.Aivika.Trans.Signal.Random

Contents

Signal of Random Events

Description

Tested with: GHC 8.0.1

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

Synopsis

newRandomSignal :: MonadDES m => Parameter m (Double, a) -> Composite m (Signal m (Arrival a))
newRandomUniformSignal :: MonadDES m => Double -> Double -> Composite m (Signal m (Arrival Double))
newRandomUniformIntSignal :: MonadDES m => Int -> Int -> Composite m (Signal m (Arrival Int))
newRandomTriangularSignal :: MonadDES m => Double -> Double -> Double -> Composite m (Signal m (Arrival Double))
newRandomNormalSignal :: MonadDES m => Double -> Double -> Composite m (Signal m (Arrival Double))
newRandomLogNormalSignal :: MonadDES m => Double -> Double -> Composite m (Signal m (Arrival Double))
newRandomExponentialSignal :: MonadDES m => Double -> Composite m (Signal m (Arrival Double))
newRandomErlangSignal :: MonadDES m => Double -> Int -> Composite m (Signal m (Arrival Double))
newRandomPoissonSignal :: MonadDES m => Double -> Composite m (Signal m (Arrival Int))
newRandomBinomialSignal :: MonadDES m => Double -> Int -> Composite m (Signal m (Arrival Int))
newRandomGammaSignal :: MonadDES m => Double -> Double -> Composite m (Signal m (Arrival Double))
newRandomBetaSignal :: MonadDES m => Double -> Double -> Composite m (Signal m (Arrival Double))
newRandomWeibullSignal :: MonadDES m => Double -> Double -> Composite m (Signal m (Arrival Double))
newRandomDiscreteSignal :: MonadDES m => DiscretePDF Double -> Composite m (Signal m (Arrival Double))

Signal of Random Events

newRandomSignal Source #

Arguments

:: MonadDES m
=> Parameter m (Double, a)	compute a pair of the delay and event of type `a`
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the minimum delay
-> Double	the maximum delay
-> Composite m (Signal m (Arrival Double))	the computation of signal emitting random events with the delays generated

Create a new signal with random delays distributed uniformly.

newRandomUniformIntSignal Source #

Arguments

:: MonadDES m
=> Int	the minimum delay
-> Int	the maximum delay
-> Composite m (Signal m (Arrival Int))	the computation of signal emitting random events with the delays generated

Create a new signal with integer random delays distributed uniformly.

newRandomTriangularSignal Source #

Arguments

:: MonadDES m
=> Double	the minimum delay
-> Double	the median of the delay
-> Double	the maximum delay
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the mean delay
-> Double	the delay deviation
-> Composite m (Signal m (Arrival Double))	the computation of signal emitting random events with the delays generated

Create a new signal with random delays distributed normally.

newRandomLogNormalSignal Source #

Arguments

:: MonadDES m
=> 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 m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the mean delay (the reciprocal of the rate)
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the scale (the reciprocal of the rate)
-> Int	the shape
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the mean delay
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the probability
-> Int	the number of trials
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the shape
-> Double	the scale (a reciprocal of the rate)
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	the shape (alpha)
-> Double	the shape (beta)
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> Double	shape
-> Double	scale
-> Composite m (Signal m (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 Source #

Arguments

:: MonadDES m
=> DiscretePDF Double	the discrete probability density function
-> Composite m (Signal m (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.