Package jline.api.pfqn.mva

Class Pfqn_pam

java.lang.Object

jline.api.pfqn.mva.Pfqn_pam

public final class Pfqn_pam
extends Object

Hsieh-Lam Proportional Approximation Methods (PAMB/PAMI/PAMT).

C. T. Hsieh, S. S. Lam, "PAM - A noniterative approximate solution method for closed multichain queueing networks", ACM SIGMETRICS Perform. Eval. Rev. 16(1), 1988. The three variants are NONITERATIVE: the queue lengths are seeded by the proportion of a class demand that falls at each centre,

E_ck = D_ck / sum_i D_ci,   Q_ck(N) = E_ck N_c,

and the MVA equations are then unrolled a fixed number of times. PAMB applies the last MVA step; PAMI additionally scales a class down wherever it would drive a centre past full utilization; PAMT seeds at N - 1_i - 1_j and applies the last TWO MVA steps before that capping. The seed spreads the whole class population over the queueing centres and ignores Z, exactly as published: PAM buys speed, not accuracy.

Field Summary

Fields

Modifier and Type	Field	Description
static final String	PAMB
static final String	PAMI
static final String	PAMT

Method Summary

Modifier and Type	Method	Description
static Ret.pfqnAMVA	pfqn_pam(Matrix L, Matrix N)
static Ret.pfqnAMVA	pfqn_pam(Matrix L, Matrix N, Matrix Z)
static Ret.pfqnAMVA	pfqn_pam(Matrix L, Matrix N, Matrix Zin, String variant)

Methods inherited from class java.lang.Object

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

Field Details

PAMB

public static final String PAMB

See Also:

• Constant Field Values

PAMI

public static final String PAMI

See Also:

• Constant Field Values

PAMT

public static final String PAMT

See Also:

• Constant Field Values

Method Details

pfqn_pam

public static Ret.pfqnAMVA pfqn_pam(Matrix L,
 Matrix N)

pfqn_pam

public static Ret.pfqnAMVA pfqn_pam(Matrix L,
 Matrix N,
 Matrix Z)

pfqn_pam

public static Ret.pfqnAMVA pfqn_pam(Matrix L,
 Matrix N,
 Matrix Zin,
 String variant)