simulation

Press machine problem

$40\%$ of the parts processed in a press machine are type $1$ parts and $60\%$ are type $2$ parts. The

processing time of type $1$ part is $5$ minutes, and the processing time of type $2$ part is $3$

minutes. $10\%$ of the parts coming out of the press machine are defective. Defective parts are

reprocessed after all parts have been processed. The part that is defective in the second time

is scrapped. The cumulative arrival time of the pieces is $0,5,6,11,12,15,17,20,24$ and $26$

minutes, respectively.

The random numbers that we will decide as defective or non$-$defective are

$9,25,42,37,11,4,47,52,88,25,8$ and $60.$ Random numbers required for the type of parts are

$49,19,30,55,55,32,56,30,47$ and $9.$

Answer the following questions by performing a manual simulation of this workstation.

a$)$ average waiting time for a part in the queue?

b$)$ utilization rate of the pressing machine?

c$)$ What is the probability of the pressing machine idle?

d$)$ What is the average time a part spends at the station?