Function Reference: qnosvisits

Function File: V = qnosvisits (P, lambda)

Compute the average number of visits to the service centers of a single class open Queueing Network with K service centers.

INPUTS

P(i,j)

is the probability that a request which completed service at center i is routed to center j (K \times K matrix).

lambda(k)

external arrival rate to center k.

OUTPUTS

V(k)

average number of visits to server k.

Example: 1

  

 p = 0.3;
 lambda = 1.2
 P = [0 0.3 0.5; 1 0 0; 1 0 0];
 V = qnosvisits(P,[1.2 0 0])

lambda = 1.2000
V =

   5.0000   1.5000   2.5000

Example: 2

  

 P = [ 0 0.4 0.6 0; ...
       0.2 0 0.2 0.6; ...
       0 0 0 1; ...
       0 0 0 0 ];
 lambda = [0.1 0 0 0.3];
 V = qnosvisits(P,lambda);
 S = [2 1 2 1.8];
 m = [3 1 1 2];
 [U R Q X] = qnos( sum(lambda), S, V, m )

U =

   0.072464   0.043478   0.147826   0.360000

R =

   2.0011   1.0455   2.3469   2.0680

Q =

   0.217507   0.045455   0.173469   0.827206

X =

   0.108696   0.043478   0.073913   0.400000