Package jline.api.qsys

Class Qsys_mmc_prio_eta

java.lang.Object

jline.api.qsys.Qsys_mmc_prio_eta

public final class Qsys_mmc_prio_eta
extends Object

Expected tardiness at arrival (ETA) E[(T - d)^+], tardiness probability P(T > d) and mean response time E[T] of a class-r order in a multiclass priority M/M/c queue with a common service rate, conditional on the state the order observes on arrival (Hafizoglu, Gel and Keskinocak, INFORMS J. Comput. 25(2), 2013).

For type "np", v is the total number of orders in the system and q the number of class <= r orders waiting (used when v >= c); for type "pr", v is the number of class <= r orders in the system and q is ignored. Classes with no higher-priority traffic use the closed form of Theorem 1, the others invert the transform of Theorem 2 ("np") or Theorem 4 and eq. (17) ("pr").

Java twin of matlab/src/api/qsys/qsys_mmc_prio_eta.m.

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static final class	Qsys_mmc_prio_eta.Result	Results at each due date of the input.

Method Summary

Modifier and Type	Method	Description
static Qsys_mmc_prio_eta.Result	qsys_mmc_prio_eta(double[] lambda, double mu, int c, int r, int v, int q, double[] d, String type, String method)
static Qsys_mmc_prio_eta.Result	qsys_mmc_prio_eta(double[] lambda, double mu, int c, int r, int v, int q, double d, String type)

Methods inherited from class java.lang.Object

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

Method Details

qsys_mmc_prio_eta

public static Qsys_mmc_prio_eta.Result qsys_mmc_prio_eta(double[] lambda,
 double mu,
 int c,
 int r,
 int v,
 int q,
 double d,
 String type)

qsys_mmc_prio_eta

public static Qsys_mmc_prio_eta.Result qsys_mmc_prio_eta(double[] lambda,
 double mu,
 int c,
 int r,
 int v,
 int q,
 double[] d,
 String type,
 String method)

Parameters:

lambda - per-class arrival rates in priority order (class 1 highest)

mu - common service rate

c - number of servers

r - class of the arriving order, 1-based as in MATLAB

v - orders in the system ("np") or class <= r orders in the system ("pr")

q - class <= r orders waiting ("np" only)

d - due dates

type - "np" or "pr"

method - Laplace inversion method