Copyright	Copyright (c) 2009-2017 David Sorokin <david.sorokin@gmail.com>
License	BSD3
Maintainer	David Sorokin <david.sorokin@gmail.com>
Stability	experimental
Safe Haskell	None
Language	Haskell2010

Simulation.Aivika.Trans.Process.Random

Description

Tested with: GHC 8.0.1

This module defines helper functions, which are useful to hold the Process computation for a time interval according to some random distribution.

Synopsis

randomUniformProcess :: MonadDES m => Double -> Double -> Process m Double
randomUniformProcess_ :: MonadDES m => Double -> Double -> Process m ()
randomUniformIntProcess :: MonadDES m => Int -> Int -> Process m Int
randomUniformIntProcess_ :: MonadDES m => Int -> Int -> Process m ()
randomTriangularProcess :: MonadDES m => Double -> Double -> Double -> Process m Double
randomTriangularProcess_ :: MonadDES m => Double -> Double -> Double -> Process m ()
randomNormalProcess :: MonadDES m => Double -> Double -> Process m Double
randomNormalProcess_ :: MonadDES m => Double -> Double -> Process m ()
randomLogNormalProcess :: MonadDES m => Double -> Double -> Process m Double
randomLogNormalProcess_ :: MonadDES m => Double -> Double -> Process m ()
randomExponentialProcess :: MonadDES m => Double -> Process m Double
randomExponentialProcess_ :: MonadDES m => Double -> Process m ()
randomErlangProcess :: MonadDES m => Double -> Int -> Process m Double
randomErlangProcess_ :: MonadDES m => Double -> Int -> Process m ()
randomPoissonProcess :: MonadDES m => Double -> Process m Int
randomPoissonProcess_ :: MonadDES m => Double -> Process m ()
randomBinomialProcess :: MonadDES m => Double -> Int -> Process m Int
randomBinomialProcess_ :: MonadDES m => Double -> Int -> Process m ()
randomGammaProcess :: MonadDES m => Double -> Double -> Process m Double
randomGammaProcess_ :: MonadDES m => Double -> Double -> Process m ()
randomBetaProcess :: MonadDES m => Double -> Double -> Process m Double
randomBetaProcess_ :: MonadDES m => Double -> Double -> Process m ()
randomWeibullProcess :: MonadDES m => Double -> Double -> Process m Double
randomWeibullProcess_ :: MonadDES m => Double -> Double -> Process m ()
randomDiscreteProcess :: MonadDES m => DiscretePDF Double -> Process m Double
randomDiscreteProcess_ :: MonadDES m => DiscretePDF Double -> Process m ()

Documentation

randomUniformProcess Source #

Arguments

:: MonadDES m
=> Double	the minimum time interval
-> Double	the maximum time interval
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval distributed uniformly.

randomUniformProcess_ Source #

Arguments

:: MonadDES m
=> Double	the minimum time interval
-> Double	the maximum time interval
-> Process m ()

Hold the process for a random time interval distributed uniformly.

randomUniformIntProcess Source #

Arguments

:: MonadDES m
=> Int	the minimum time interval
-> Int	the maximum time interval
-> Process m Int	a computation of the time interval for which the process was actually held

Hold the process for a random time interval distributed uniformly.

randomUniformIntProcess_ Source #

Arguments

:: MonadDES m
=> Int	the minimum time interval
-> Int	the maximum time interval
-> Process m ()

Hold the process for a random time interval distributed uniformly.

randomTriangularProcess Source #

Arguments

:: MonadDES m
=> Double	the minimum time interval
-> Double	a median of the time interval
-> Double	the maximum time interval
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the triangular distribution.

randomTriangularProcess_ Source #

Arguments

:: MonadDES m
=> Double	the minimum time interval
-> Double	a median of the time interval
-> Double	the maximum time interval
-> Process m ()

Hold the process for a random time interval having the triangular distribution.

randomNormalProcess Source #

Arguments

:: MonadDES m
=> Double	the mean time interval
-> Double	the time interval deviation
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval distributed normally.

randomNormalProcess_ Source #

Arguments

:: MonadDES m
=> Double	the mean time interval
-> Double	the time interval deviation
-> Process m ()

Hold the process for a random time interval distributed normally.

randomLogNormalProcess Source #

Arguments

:: MonadDES m
=> Double	the mean for a normal distribution which this distribution is derived from
-> Double	the deviation for a normal distribution which this distribution is derived from
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the lognormal distribution.

randomLogNormalProcess_ Source #

Arguments

:: MonadDES m
=> Double	the mean for a normal distribution which this distribution is derived from
-> Double	the deviation for a normal distribution which this distribution is derived from
-> Process m ()

Hold the process for a random time interval having the lognormal distribution.

randomExponentialProcess Source #

Arguments

:: MonadDES m
=> Double	the mean time interval (the reciprocal of the rate)
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval distributed exponentially with the specified mean (the reciprocal of the rate).

randomExponentialProcess_ Source #

Arguments

:: MonadDES m
=> Double	the mean time interval (the reciprocal of the rate)
-> Process m ()

Hold the process for a random time interval distributed exponentially with the specified mean (the reciprocal of the rate).

randomErlangProcess Source #

Arguments

:: MonadDES m
=> Double	the scale (the reciprocal of the rate)
-> Int	the shape
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the Erlang distribution with the specified scale (the reciprocal of the rate) and shape parameters.

randomErlangProcess_ Source #

Arguments

:: MonadDES m
=> Double	the scale (the reciprocal of the rate)
-> Int	the shape
-> Process m ()

Hold the process for a random time interval having the Erlang distribution with the specified scale (the reciprocal of the rate) and shape parameters.

randomPoissonProcess Source #

Arguments

:: MonadDES m
=> Double	the mean time interval
-> Process m Int	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the Poisson distribution with the specified mean.

randomPoissonProcess_ Source #

Arguments

:: MonadDES m
=> Double	the mean time interval
-> Process m ()

Hold the process for a random time interval having the Poisson distribution with the specified mean.

randomBinomialProcess Source #

Arguments

:: MonadDES m
=> Double	the probability
-> Int	the number of trials
-> Process m Int	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the binomial distribution with the specified probability and trials.

randomBinomialProcess_ Source #

Arguments

:: MonadDES m
=> Double	the probability
-> Int	the number of trials
-> Process m ()

Hold the process for a random time interval having the binomial distribution with the specified probability and trials.

randomGammaProcess Source #

Arguments

:: MonadDES m
=> Double	the shape
-> Double	the scale (a reciprocal of the rate)
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the Gamma distribution with the specified shape and scale.

randomGammaProcess_ Source #

Arguments

:: MonadDES m
=> Double	the shape
-> Double	the scale (a reciprocal of the rate)
-> Process m ()

Hold the process for a random time interval having the Gamma distribution with the specified shape and scale.

randomBetaProcess Source #

Arguments

:: MonadDES m
=> Double	the shape (alpha)
-> Double	the shape (beta)
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the Beta distribution with the specified shape parameters (alpha and beta).

randomBetaProcess_ Source #

Arguments

:: MonadDES m
=> Double	the shape (alpha)
-> Double	the shape (beta)
-> Process m ()

Hold the process for a random time interval having the Beta distribution with the specified shape parameters (alpha and beta).

randomWeibullProcess Source #

Arguments

:: MonadDES m
=> Double	the shape
-> Double	the scale
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the Weibull distribution with the specified shape and scale.

randomWeibullProcess_ Source #

Arguments

:: MonadDES m
=> Double	the shape
-> Double	the scale
-> Process m ()

Hold the process for a random time interval having the Weibull distribution with the specified shape and scale.

randomDiscreteProcess Source #

Arguments

:: MonadDES m
=> DiscretePDF Double	the discrete probability density function
-> Process m Double	a computation of the time interval for which the process was actually held

Hold the process for a random time interval having the specified discrete distribution.

randomDiscreteProcess_ Source #

Arguments

:: MonadDES m
=> DiscretePDF Double	the discrete probability density function
-> Process m ()

Hold the process for a random time interval having the specified discrete distribution.