MG1_ETAQAKt

All Implemented Interfaces:


public final class MG1_ETAQAKt

Nested Class Summary

Nested Classes
Modifier and Type	Class	Description

Field Summary

Fields
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Constructor Summary

Constructors
Constructor	Description

Enum Constant Summary

Enum Constants
Enum Constant	Description

Method Summary

Modifier and Type	Method	Description
`final static Matrix`	`mg1_pi_etaqa(Matrix B, Matrix A, Matrix G, Matrix C0)`	Computes the aggregated stationary probability vector for an M/G/1-type Markov chain using the ETAQA method.
`final static Matrix`	`mg1_g_etaqa(Matrix A)`	Computes the G matrix for M/G/1-type Markov chains.
`final static Double`	`mg1_qlen_etaqa(Matrix B, Matrix A, Matrix pi, Integer n)`	Computes the n-th moment of queue length using ETAQA.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
- Method Detail
  - mg1_pi_etaqa
```
 final static Matrix mg1_pi_etaqa(Matrix B, Matrix A, Matrix G, Matrix C0)
```
    Computes the aggregated stationary probability vector for an M/G/1-type Markov chain using the ETAQA method.
    The M/G/1-type chain has generator:
    B0 B1 B2 B3 ... A0 A1 A2 A3 ... Q = 0 A0 A1 A2 ... 0 0 A0 A1 ... ...
    Parameters:
    
    B - Boundary block matrix B0 B1 ...
    
    A - Repeating block matrix A0 A1 ...
    
    G - G matrix (minimal nonnegative solution).
    
    C0 - Optional boundary matrix (default: A0)
    
    Returns:
    
    Aggregated probability vector pi0, pi1, piStar
  - mg1_g_etaqa
```
 final static Matrix mg1_g_etaqa(Matrix A)
```
    Computes the G matrix for M/G/1-type Markov chains.
    G is the minimal nonnegative solution to:
    Continuous: 0 = A0 + A1G + A2G^2 + ... + Amax*G^max
    Discrete: G = A0 + A1G + A2G^2 + ... + Amax*G^max
    Parameters:
    
    A - Block matrix A0 A1 ...
    
    Returns:
    
    G matrix
  - mg1_qlen_etaqa
```
 final static Double mg1_qlen_etaqa(Matrix B, Matrix A, Matrix pi, Integer n)
```
    Computes the n-th moment of queue length using ETAQA.
    
    Parameters:
    
    B - Boundary block matrix
    
    A - Repeating block matrix
    
    pi - Aggregated probability from mg1_pi_etaqa
    
    n - Moment order (1 = mean, 2 = second moment, etc.
    
    Returns:
    
    n-th moment of queue length