ikr.simlib.distributions.continuous.transform

Class PiecewiseLinearDistribution

java.lang.Object

ikr.simlib.distributions.Distribution

ikr.simlib.distributions.continuous.ContinuousDistribution

ikr.simlib.distributions.continuous.transform.PiecewiseLinearDistribution

All Implemented Interfaces:

ReflectionConstructable, ReflectionConstructable3<SimNode,Parameters,RandomNumberGenerator>

public class PiecewiseLinearDistribution
extends ContinuousDistribution

Piece-wise Linear Distribution

Piece-wise Linear Distribution

Meaning:	Distribution of a real random variable \(T = d \cdot (Z + Y)\), whereby \(Z\) is an arbitrarily distributed integer number random variable, \(Y\) is an uniformly distributed continuous random variable between 0 and 1 and \(d\) is the scale factor. Application example: empirical distribution according to [1], whereby the distribution of \(Z\) is a known histogram
Parameters:	scale factor/time slot duration \(d\) discrete distribution \(p_i\) of \(Z\) / the number of time slots
PDF:	\(P(T=t) = f(t) = \frac{1}{d} \cdot \sum\limits_{n=0}^{\infty} p_n \cdot (\sigma(t-nd) - \sigma(t- (n+1)d))\) whereby \(\sigma(x)\) represents the step function.
Expected value:	\(E[T] = (E[N] + \frac{1}{2}) \cdot d\)
Parser example:	[...].Distribution = PiecewiseLinearDistribution [...].Distribution.SlotDuration = 1.5 [...].Distribution.NoOfSlotsDist = Geometric [...].Distribution.NoOfSlotsDist.Mean = 9
References:	A. M. LAW, W. D. KELTON: Simulation Modeling & Analysis, 2nd edition, McGraw- Hill, 1991.

Field Summary

Fields

Modifier and Type	Field and Description
DiscreteDistribution	noOfSlotsDist
double	slotDuration

Fields inherited from class ikr.simlib.distributions.Distribution

rng

Fields inherited from interface ikr.simlib.parameters.reflection.ReflectionConstructable

CREATE_INSTANCE_METHOD_NAME

Constructor Summary

Constructors

Constructor and Description
PiecewiseLinearDistribution(DiscreteDistribution noOfSlotsDist, double slotDuration)
PiecewiseLinearDistribution(DiscreteDistribution noOfSlotsDist, double slotDuration, RandomNumberGenerator rng)

Method Summary

Methods

Modifier and Type	Method and Description
static PiecewiseLinearDistribution	createInstance(SimNode ownNode, Parameters pars, RandomNumberGenerator rng) as required by ReflectionConstructable
double	next() Create random numbers

Methods inherited from class ikr.simlib.distributions.Distribution

getDefaultRNG, getRandomNumberGenerator, reset

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

noOfSlotsDist

public final DiscreteDistribution noOfSlotsDist

slotDuration

public final double slotDuration

Constructor Detail

PiecewiseLinearDistribution

public PiecewiseLinearDistribution(DiscreteDistribution noOfSlotsDist,
                           double slotDuration,
                           RandomNumberGenerator rng)

PiecewiseLinearDistribution

public PiecewiseLinearDistribution(DiscreteDistribution noOfSlotsDist,
                           double slotDuration)

Method Detail

createInstance

public static PiecewiseLinearDistribution createInstance(SimNode ownNode,
                                         Parameters pars,
                                         RandomNumberGenerator rng)

as required by ReflectionConstructable

next

public double next()

Description copied from class: ContinuousDistribution

Create random numbers

Specified by:

next in class ContinuousDistribution