Package jline.examples.java.basic

Class OpenMAPtModel

java.lang.Object

jline.examples.java.basic.OpenMAPtModel

public class OpenMAPtModel
extends Object

Open queueing network with a MAP_t arrival process and the Ko-Pender limits.

MAPt is a time-inhomogeneous Markovian arrival process: segment k covers [breakpoints[k], breakpoints[k+1]) and carries the pair (D0[k], D1[k]), so the stream is both non-renewal, through the modulating phase, and non-stationary, through the schedule. Setting one phase recovers an NHPP; setting one segment recovers an ordinary MAP.

The fluid solver's "kp" method integrates the fluid and diffusion limits of Ko and Pender, "Diffusion limits for the (MAP_t/Ph_t/inf)^N queueing network", Oper. Res. Lett. 45 (2017) 248-253: the mean and the covariance of the queue length are integrated jointly. For infinite-server stations the rate functions are affine in the state, so both are exact rather than asymptotic.

Constructor Summary

Constructors

Constructor	Description
OpenMAPtModel()

Method Summary

Modifier and Type	Method	Description
static Network	example()	Builds a Source -> Delay -> Sink model whose arrivals follow a two-segment 2-phase MAP_t.
static void	main(String[] args)

Methods inherited from class java.lang.Object

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

Constructor Details

OpenMAPtModel

public OpenMAPtModel()

Method Details

example

public static Network example()

Builds a Source -> Delay -> Sink model whose arrivals follow a two-segment 2-phase MAP_t.

main

public static void main(String[] args)