Compute the average number of visits for the nodes of a closed multiclass network with K service centers and C customer classes.
INPUTS
P(r,i,s,j)
probability that a class r request which completed service at center i is routed to center j as a class s request. Class switching is allowed.
r(c)
index of class c reference station,
r(c) \in {1, …, K}, 1 ≤ c ≤ C.
The class c visit count to server r(c)
(V(c,r(c))
) is conventionally set to 1. The reference
station serves two purposes: (i) its throughput is assumed to be the
system throughput, and (ii) a job returning to the reference station
is assumed to have completed one cycle. Default is to consider
station 1 as the reference station for all classes.
OUTPUTS
V(c,i)
number of visits of class c requests at center i.
ch(c)
chain number that class c belongs
to. Different classes can belong to the same chain. Chains are
numbered sequentially starting from 1 (1, 2, …). The
total number of chains is max(ch)
.
Package: queueing