Machine Shop

Consider a production process consisting of three resources:

Resource Processing Time $[$Min$/$Unit$]$ Number of Workers

$1($Lathe$)102$

$2($Drill$)61$

$3($Weld$)163$

Assume there is sufficient input to the process.

$2$a$.$ What is the capacity of each Resource in units$/$hour$?$

Hint: you need to take into account the number of workers at each resource. Resource capacity $=$ m$/$p$.$

Resource $1$: capacity $=2/10$ units$/$min $=0\mathrm{.}2$ units$/$min x $60$ min$/$hour $=12$ units$/$hour

Resource $2$: capacity$=1/6$ units$/$min$=0\mathrm{.}166$ units$/$min x $60$ min$/$hour $=10$ units$/$hour

Resource $3$: capacity$=3/16$ units$/$min$=0\mathrm{.}1875$ units$/$min x $60$ min$/$hour $=11\mathrm{.}25$ units$/$hour

$2$b$.$ Which resource is the bottleneck? Drill

$2$c$.$ What is the flow rate if the demand is $15$ units per hour? There is sufficient input for the process.

Flow rate $=$ minimum$\{$available input, demand rate, process capacity$\}$

Flow rate $=$ min.

$2$d$.$ What is the utilization of each resource if demand is $15$ units per hour?

Resource Utilization $=$ Flow Rate$/$Resource Capacity

$2$e$.$ Given that the demand is $15$ units per hour, what kind of process is this: input$-$constrained, demand$-$constrained or capacity$-$constrained?