Question

Problem 2

There are three machines and two mechanics in a factory. The break time of each machine is exponentially distributed with λ = 1 (per day). The repair time of a broken machine is also exponentially distributed with a mean of 3 hours. (Mechanics work separately).

(1). Construct the rate diagram for this queueing system. (be careful about the arrival rate λn)

(2). Set up the rate balance equations, then solve for pn’s.

(3). Compute L.

(4). Compute the actual mean arrival rate λ ̄.

(5). What does Wq mean in this scenario? Compute it (in minutes).

Answer 1