Function Reference: qnomaba

Function File: [Xl, Xu, Rl, Ru] = qnomaba (lambda, D)
Function File: [Xl, Xu, Rl, Rl] = qnomaba (lambda, S, V)

Compute Asymptotic Bounds for open, multiclass networks with K service centers and C customer classes.

INPUTS

lambda(c)

class c arrival rate to the system (vector of length C, lambda(c) > 0).

D(c, k)

class c service demand at center k (C \times K matrix, D(c, k) ≥ 0).

S(c, k)

mean service time of class c requests at center k (C \times K matrix, S(c, k) ≥ 0).

V(c, k)

mean number of visits of class c requests at center k (C \times K matrix, V(c, k) ≥ 0).

OUTPUTS

Xl(c)
Xu(c)

lower and upper bounds of class c throughput. Xl(c) is always 0 since there can be no lower bound on the throughput of open networks (vector of length C).

Rl(c)
Ru(c)

lower and upper bounds of class c response time. Ru(c) is always +inf since there can be no upper bound on the response time of open networks (vector of length C).