Chapter $04$

Question: $01$

The table below lists the work elements in minutes to be performed on assembly line with precedence requirements. Annual demand is $60000$ units. The line will operate on shift with available time $(2000h\frac{r}{y}r).$ Line efficiency is expected to be $95\%$ and repositioning time is $6$ sec $.$ The table below defines the precedence relationships and element times for a new model toy. $($a$)$ Construct the precedence diagram for this job. $($b$)$ what is the theoretical minimum number of workstations required to minimize the balance delay under the assumption that there will be one worker per station? $($c$)$ Use the largest candidate rule to assign work elements to stations. $($d$)$ Compute the balance delay for your solution.$($e$)$ What will be the production rate$/$hr after the line is balanced.

$\backslash$table$[[$Work element,$T_e(min),$Immediate predecessors$],[1,0\mathrm{.}5,-],[2,0\mathrm{.}3,-],[3,0\mathrm{.}8,1],[4,1\mathrm{.}1,1,2],[5,0\mathrm{.}6,2],[6,0\mathrm{.}2,3],[7,0\mathrm{.}7,4],[8,1\mathrm{.}0,5],[9,1\mathrm{.}2,5],[10,0\mathrm{.}4,6],[11,0\mathrm{.}9,7],[12,0\mathrm{.}1,8,9],[13,1\mathrm{.}3,10,11,12$