Problem $1(40$ points$)$

Consider a line with two single$-$machine stations. Both machines take $t_e=20$mins and have $c_e=1.$ Between the two machines there is a buffer that can hold $10$ jobs.

$($a$)$ Model the system using an $\frac{M}{M}\frac{?}{?}\frac{1}{b}$ queue.

$($i$)$ What is the TH

$($ii$)$ What is the WIP

$($iii$)$ What is the CT for the line

$($b$)$ Reduce the buffer to one and make the process time at the first machine to be $10$ mins $.$ Recompute the above three measures.

Do it Handwritten