Two workstations are laid out in series. Subassemblies are passed from Workstation $1$ to

Workstation $2$ for completion. It is assumed that there is always a subassembly available prior to

Workstation$1$ and that there is a buffer between both workstations which can cater for any potential

back$-$log$.$

The times in minutes for processing subassemblies at each workstation are as follows:

$$ Workstation $1($WKN$1)=$ U $(10,18)$ Uniform distribution, Min $=10,$ Max$=18$

$$ Workstation $2($WKN$2)=$ N $(10,2)$ Normal distribution, Mean $=10,$ Standard Deviation$=2$

Note: You should determine the first random number using a method of your choice from your

lectures. Subsequent random numbers may be read from the tables provided.

Note: You may use a single random number multiplied by $12$ in place of $12$ individual random

numbers to minimise computation time when determining values from the normal distribution.

The reliability of each workstation in terms of its ability to produce assemblies within specification

is described by an exponential function with failure rates for individual workstations as follows:

$\backslash$lambda $$ WKN$1=0\mathrm{.}08$

$\backslash$lambda $^2$ WKN$2=0\mathrm{.}06$

Carry out a manual simulation of the system of three workstations in series for up to $30$ minutes or

until $3$ items have been produced whichever is the sooner. Assume the system is in steady state

before starting, i$.$e$.$ there is a subassembly available at each workstation. Ideally, the results of your

manual simulation should include:

$$ The number of assemblies produced during the $30$ hour production period

$$ The number of failures in the system during the $30$ hour production period

$$ A presentation of the Event Calendar and its changing nature