Function File: [Xl, Xu, Rl, Ru] = qncsaba (N, D)

Function File: [Xl, Xu, Rl, Ru] = qncsaba (N, S, V)

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

Function File: [Xl, Xu, Rl, Ru] = qncsaba (N, S, V, m, Z)

Compute Asymptotic Bounds for the system throughput and response time of closed, single-class networks with K service centers.

Single-server and infinite-server nodes are supported. Multiple-server nodes and general load-dependent servers are not supported.

INPUTS

N

number of requests in the system (scalar, N>0).

D(k)

service demand at center k (D(k) ≥ 0).

S(k)

mean service time at center k (S(k) ≥ 0).

V(k)

average number of visits to center k (V(k) ≥ 0).

m(k)

number of servers at center k (if m is a scalar, all centers have that number of servers). If m(k) < 1, center k is a delay center (IS); if m(k) = 1, center k is a M/M/1-FCFS server. This function does not support multiple-server nodes. Default is 1.

Z

External delay (scalar, Z ≥ 0). Default is 0.

OUTPUTS

Xl

Xu

Lower and upper bounds on the system throughput.

Rl

Ru

Lower and upper bounds on the system response time.

See also: qncmaba.

Package: queueing