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

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

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

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

Compute Balanced System Bounds on system throughput and response time for closed, single-class networks with K service centers.

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). Default is 1.

m(k)

number of servers at center k. This function supports m(k) = 1 only (single-eserver FCFS nodes); this parameter is only for compatibility with qncsaba. Default is 1.

Z

External delay (Z ≥ 0). Default is 0.

OUTPUTS

Xl

Xu

Lower and upper bound on the system throughput.

Rl

Ru

Lower and upper bound on the system response time.

REFERENCES

• Edward D. Lazowska, John Zahorjan, G. Scott Graham, and Kenneth C. Sevcik, Quantitative System Performance: Computer System Analysis Using Queueing Network Models, Prentice Hall, 1984. http://www.cs.washington.edu/homes/lazowska/qsp/. In particular, see section 5.4 ("Balanced Systems Bounds").

See also: qncmbsb.

Package: queueing