Problem $5\mathrm{.}7\mathrm{.}4$

Consider an office where people come to get their drivers' licenses. The process involves

three steps for arriving customers $-$ reception$/$application; a vision exam; and a written

exam. Assume that customer arrivals are Poisson with a rate of $6$ per hour $($i$.$e$.,$ interarrival

times are exponentially distributed with a mean of $10$ minutes$).$ The processing time

distributions for the three processes are given in Table $5\mathrm{.}7\mathrm{.}4.$ The office has one person

responsible for reception$/$application and one person responsible for administering the

vision exams. The written exam is computer$-$based and there are three computer stations

where customers can take the exam.

Develop a Simio model of this system. Assume that the office opens at $9$:$00$ a$.$m$.$ and closes at

$5$:$00$ p$.$m$.$ The performance metrics of interest include:

the time that customers spend in the system,

utilizations of the office employees and the computer stations,

the average and maximum numbers of customers in the reception$/$application queue,

the vision exam queue, and the written exam queue.

How many replications should be run in order to be confident about your results? Justify

your answer in writing.

Table $5\mathrm{.}7\mathrm{.}4$: Processing time parametersProblem $5\mathrm{.}7\mathrm{.}4$Consider an office where people come to get their drivers$$ licenses. The process involves three steps for arriving customers $$ recep$$on$/$applica$$on; a vision exam; and a wri$$en exam. Assume that customer arrivals are Poisson with a rate of $6$ per hour $($i$.$e$.,$ interarrival $$mes are exponen$$ally distributed with a mean of $10$ minutes$).$ The processing $$me distribu$$ons for the three processes are given in Table $5\mathrm{.}7\mathrm{.}4.$ The office has one person responsible for recep$$on$/$applica$$on and one person responsible for administering the vision exams. The wri$$en exam is computer$-$based and there are three computer sta$$ons where customers can take the exam. Develop a Simio model of this system. Assume that the office opens at $9$:$00$ a$.$m$.$ and closes at $5$:$00$ p$.$m$.$ The performance metrics of interest include: $1.$the $$me that customers spend in the system,$2.$u$$liza$$ons of the office employees and the computer sta$$ons$,3.$the average and maximum numbers of customers in the recep$$on$/$applica$$on queue, the vision exam queue, and the wri$$en exam queue. How many replica$$ons should be run in order to be confident about your results? Jus$$fy your answer in wri$$ng$.$ Table $5\mathrm{.}7\mathrm{.}4$: Processing $$me parametersProcess Processing $$me distribu$$onRecep$$on$/$applica$$onTriangular $(5,8,11)$ Vision exam Triangular $(2,4,6)$ Wri$$en examTriangular $(10,15,20)$