Function File: [Xl, Xu, Rl, Ru] = qnosaba (lambda, D)

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

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

Compute Asymptotic Bounds for open, single-class networks with K service centers.

INPUTS

lambda

Arrival rate of requests (scalar, lambda ≥ 0).

D(k)

service demand at center k. (vector of length K, D(k) ≥ 0).

S(k)

mean service time at center k. (vector of length K, S(k) ≥ 0).

V(k)

mean number of visits to center k. (vector of length K, V(k) ≥ 0).

m(k)

number of servers at center k. This function only supports M/M/1 queues, therefore m must be ones(size(S)).

OUTPUTS

Xl

Xu

Lower and upper bounds on the system throughput. Xl is always set to 0 since there can be no lower bound on the throughput of open networks (scalar).

Rl

Ru

Lower and upper bounds on the system response time. Ru is always set to +inf since there can be no upper bound on the throughput of open networks (scalar).

See also: qnomaba.

Package: queueing