Question

American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustration, management has a constant repair problem. The machines break down in a mean of 3 hours with a standard deviation of 3 hours. One repair worker can service one machine in a mean of 2 hours with a standard deviation of 2 hours. Currently, TWO repair workers are hired. Average flow time (W) was calculated as 2.305 from the posted queueing template. --- Average down machines in the entire system (L) are ___.

Answer 1

0.77

Explanation:

From the information given:

The breakdown time (a)= 3 hours

The breakdown rate (λ) = 1/a = 1/3

Average flow time in the system (W) = 2.305 hours

For the entire system;

The average down machines L = Wλ

= 2.305 × (1/3)

= 0.77