Package jline.api.mam

Class Mg1_dt_queue

java.lang.Object

jline.api.mam.Mg1_dt_queue

public final class Mg1_dt_queue
extends Object

Discrete-time single-server queue with batch DMAP arrivals, DBMAP/DMAP/1.

Solved on a slotted time scale under the late arrival system with delayed access (LAS-DA): within a slot the service completion resolves first, arrivals are appended at the end of the slot and cannot enter service before the next one, and the level is read after both. This is the convention of Q_DT_MAP_MAP_1, whose QBD blocks this reproduces for a single arrival per slot, and of the LDES slotted engine.

The chain is M/G/1-type because a slot may deliver a batch: with arrival matrices A_k and service pair (S0,S1), A^(-1) = kron(A_0,S1), A^(k) = kron(A_k,S0) + kron(A_{k+1},S1), B^(k) = kron(A_k,I), the boundary row holding the empty system where no service runs.

MATLAB twin: mg1_dt_queue.m

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static final class	Mg1_dt_queue.Result	Queue length, utilization, throughput, pmf and departure process.

Method Summary

Modifier and Type	Method	Description
static Mg1_dt_queue.Result	mg1_dt_queue(MatrixCell ARV, MatrixCell SVC, int maxNumComp, boolean wantDeparture)

Methods inherited from class java.lang.Object

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

Method Details

mg1_dt_queue

public static Mg1_dt_queue.Result mg1_dt_queue(MatrixCell ARV,
 MatrixCell SVC,
 int maxNumComp,
 boolean wantDeparture)