Package jline.api.mam

Class Map2_fit_idc

java.lang.Object

jline.api.mam.Map2_fit_idc

public final class Map2_fit_idc
extends Object

Fits a second-order MAP matching the first three moments and the asymptotic index of dispersion. A MAP(2) has a geometrically decaying autocorrelation, so its index of dispersion obeys I = SCV + (SCV-1)*g2/(1-g2), as reported in Section 5.2.2 of Casale, Mi, Cherkasova and Smirni, IEEE Trans. Soft. Eng. 37(5), 2011. The relation is inverted in closed form as g2 = (I-SCV)/(I-1) and the decay rate is passed to map2_fit. Burstiness cannot be represented when SCV <= 1 or when I < SCV, and the paper falls back to an exponential in both cases. A third moment outside the feasible region is replaced by its lower limit (3/2)*e2^2/e1, the largest heavy-tail decay a MAP(2) admits. Copyright (c) 2012-2026, Imperial College London All rights reserved.

Field Summary

Fields

Modifier and Type	Field	Description
static final int	STATUS_E3_AUTO	Third moment selected automatically by map2_fit.
static final int	STATUS_E3_CLAMPED	Third moment clamped to its feasible lower limit.
static final int	STATUS_EXACT	Exact fit of the four descriptors.
static final int	STATUS_EXPONENTIAL	Burstiness not representable, an exponential was returned.
static final int	STATUS_FAILED	Fit failed, an exponential was returned.

Method Summary

Modifier and Type	Method	Description
static Ret.mamMAPFitIdcReturn	map2_fit_idc(double e1, double e2, double e3, double idc)	Fits a MAP(2) to three moments and an index of dispersion.

Methods inherited from class java.lang.Object

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

Field Details

STATUS_EXACT

public static final int STATUS_EXACT

Exact fit of the four descriptors.

See Also:

• Constant Field Values

STATUS_EXPONENTIAL

public static final int STATUS_EXPONENTIAL

Burstiness not representable, an exponential was returned.

See Also:

• Constant Field Values

STATUS_E3_CLAMPED

public static final int STATUS_E3_CLAMPED

Third moment clamped to its feasible lower limit.

See Also:

• Constant Field Values

STATUS_E3_AUTO

public static final int STATUS_E3_AUTO

Third moment selected automatically by map2_fit.

See Also:

• Constant Field Values

STATUS_FAILED

public static final int STATUS_FAILED

Fit failed, an exponential was returned.

See Also:

• Constant Field Values

Method Details

map2_fit_idc

public static Ret.mamMAPFitIdcReturn map2_fit_idc(double e1,
 double e2,
 double e3,
 double idc)

Fits a MAP(2) to three moments and an index of dispersion.

Parameters:

e1 - mean inter-arrival time

e2 - second moment of the inter-arrival times

e3 - third moment of the inter-arrival times

idc - asymptotic index of dispersion

Returns:

the fitted MAP and the fallback taken, if any