Considering a process with variable input and no buffer, which of the following will

happen $($compared with the $\text{'}$no variability' case$)?$

A$.$ Lower throughput rate

B$.$ More capacity utilization

C$.$ Revenue remains unchanged

D$.$ Lower inventory

E$.$ None of the above

In an M$/$D$/1$ queue, the average inter$-$arrival time is $6$ minutes per hour. The service rate

is $20$ customers per hour. The average queue length is:

A$.1$

B$.\frac{1}{2}$

C$.\frac{1}{4}$

D$.2$

E$.$ None of the above

A bank estimates that customers will arrive at the rate of $9$ per hour. The staff can serve

customers at the rate of one every $5$ minutes. Assume M$/$M$/1$ queue.

The average number of customers in the waiting line is:

A$.2\mathrm{.}25$

B$.3\mathrm{.}2$

C$.$

$1\mathrm{.}33$

D$.2\mathrm{.}85$

E$.$ None of the above

Following the above question $($Question $3),$ the average waiting time of customers in the

waiting line is:

A$.10$ minutes

B$.15$ minutes

C$.25$ minutes

D$.16$ minutes

E$.$ None of the above