Question $2$

$2\mathrm{.}1$ A manual assembly line is a production line that consists of a sequence of workstations

where assembly tasks are performed by human workers. Products are assembled as they

move along the line. At each station, a worker performs a portion of the total work on the unit

The objective in line balancing is to distribute the total workload on the assembly line as evenly

as possible among the workers.

Cele Engineering is planning on designing an assembly line to make a radiator. The work

elements, their times, and precedence constraints are given in the table below. The workers

will operate the line for $400$ min per day and must produce $300$ products per day. A

mechanized belt, moving at a speed of $1\mathrm{.}25$ m$/$min$,$ will transport the products between

stations. Because of the variability in the time required to perform the assembly operations, it

has been determined that the tolerance time should be $1\mathrm{.}5$ times the cycle time of the line.

$2\mathrm{.}1\mathrm{.}1$ Determine the ideal minimum number of workers on the line. $(3)$

$2\mathrm{.}1\mathrm{.}2$ Construct the precedence diagram. $(10)$

$2\mathrm{.}1\mathrm{.}3$ Use any of the line balancing algorithms to balance the line. $(10)$

$2\mathrm{.}1\mathrm{.}4$ Compute the balance delay for your solution. $(1)$

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