EXERCISESConsider a manufacturing system comprising two different machines and a single

operator who is shared between the two machines. Parts arrive with an exponen$-$

tially distributed interarrival time with a mean of $3$ minutes. The arriving parts are

one of two types. Sixty percent of the arriving parts are Type $1$ and are processed

on Machine $1.$ These parts require the operator for a one$-$minute setup operation.

The remaining $40$ percent are part Type $2$ and are processed on Machine $2.$ These

parts require the operator for a $1\mathrm{.}5-$minute setup operation. The service times $($ex$-$

standard deviation of $1$ mire normally distributed with a mean of $4\mathrm{.}5$ minutes and a

standard deviation of $1\mathrm{.}5$ minute for Type $1$ parts and a mean of $7\mathrm{.}5$ minutes and a

Two different priority $1\mathrm{.}5$ minutes for Type $2$ parts.

between the two types of schemes have been proposed for allocating the operator

Type $1$ jobs. Under this proposal jobs. The first scheme is to assign priority to the

are no job Type $1$ setups waiting to bet $2$ setup will only be performed if there

to alternate the priority between to be performed. The second proposed scheme is

Simulate each of these system two job types.

machine, and the average flowtime for all parts.

Exercise $3\mathrm{.}1$

A manual car wash has five identical booths for which cars must wait in a single

queue. Cars arrive exponentially with a mean interarrival time of $5$ minutes. A per$-$

son washes his car according to a normal distribution with mean of $20$ minutes and

a standard deviation of $4$ minutes. The car wash is open $16$ hours per day. Simulate

the system for a $16-$hour day and count the number of cars washed.