Copyright	Copyright (c) 2009-2015, 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.Stream.Random

Contents

Stream of Random Events

Description

Tested with: GHC 7.10.1

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

Synopsis

Stream of Random Events

randomStream Source

Arguments

:: MonadDES m
=> Parameter m (Double, a)	compute a pair of the delay and event of type `a`
-> Stream m (Arrival a)	a stream of delayed events

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

randomUniformStream Source

Arguments

:: MonadDES m
=> Double	the minimum delay
-> Double	the maximum delay
-> Stream m (Arrival Double)	the stream of random events with the delays generated

Create a new stream with delays distributed uniformly.

randomUniformIntStream Source

Arguments

:: MonadDES m
=> Int	the minimum delay
-> Int	the maximum delay
-> Stream m (Arrival Int)	the stream of random events with the delays generated

Create a new stream with integer delays distributed uniformly.

randomTriangularStream Source

Arguments

:: MonadDES m
=> Double	the minimum delay
-> Double	the median of the delay
-> Double	the maximum delay
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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

randomNormalStream Source

Arguments

:: MonadDES m
=> Double	the mean delay
-> Double	the delay deviation
-> Stream m (Arrival Double)	the stream of random events with the delays generated

Create a new stream with delays distributed normally.

randomLogNormalStream 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
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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

randomExponentialStream Source

Arguments

:: MonadDES m
=> Double	the mean delay (the reciprocal of the rate)
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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

randomErlangStream Source

Arguments

:: MonadDES m
=> Double	the scale (the reciprocal of the rate)
-> Int	the shape
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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

randomPoissonStream Source

Arguments

:: MonadDES m
=> Double	the mean delay
-> Stream m (Arrival Int)	the stream of random events with the delays generated

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

randomBinomialStream Source

Arguments

:: MonadDES m
=> Double	the probability
-> Int	the number of trials
-> Stream m (Arrival Int)	the stream of random events with the delays generated

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

randomGammaStream Source

Arguments

:: MonadDES m
=> Double	the shape
-> Double	the scale (a reciprocal of the rate)
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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

randomBetaStream Source

Arguments

:: MonadDES m
=> Double	the shape (alpha)
-> Double	the shape (beta)
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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

randomWeibullStream Source

Arguments

:: MonadDES m
=> Double	shape
-> Double	scale
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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

randomDiscreteStream Source

Arguments

:: MonadDES m
=> DiscretePDF Double	the discrete probability density function
-> Stream m (Arrival Double)	the stream of random events with the delays generated

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