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You Have Been Asked to Balance a Flow Shop Assembly

question 45

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You have been asked to balance a flow shop assembly operation to achieve an output rate of 80 units per eight-hour day. Task times and precedence relationships are shown in the table below.
 Task  Predecessor(s)  Duration  (minutes)  A 1.4 B 0.8 C  A, B 0.4 D 1.8 E 0.4 F  C 2.1 G E,F2.0 H D,G1.2\begin{array} { | c | c | c | } \hline \text { Task } & \text { Predecessor(s) } & \begin{array} { c } \text { Duration } \\\text { (minutes) }\end{array} \\\hline \text { A } & - - & 1.4 \\\hline \text { B } & - - & 0.8 \\\hline \text { C } & \text { A, B } & 0.4 \\\hline \text { D } & - - & 1.8 \\\hline \text { E } & - - & 0.4 \\\hline \text { F } & \text { C } & 2.1 \\\hline \text { G } & \mathrm { E } , \mathrm { F } & 2.0 \\\hline \text { H } & \mathrm { D } , \mathrm { G } & 1.2 \\\hline\end{array}
a. Draw the precedence diagram.
b. Determine the desired cycle time.
c. Determine the theoretical minimum number of stations needed.
d. Balance this line using most following tasks.
e. What is the efficiency of the line obtained in part d?


Definitions:

Mechanoreceptors

Sensory receptors in the body that respond to mechanical pressures or distortions, such as touch, pressure, stretch, and vibration.

Chemoreceptors

Sensory receptors that respond to chemical stimuli, found in various locations in the body and involved in processes like taste, smell, and respiratory control.

Dementia

A chronic or progressive syndrome marked by the deterioration of cognitive function, affecting memory, thinking, orientation, comprehension, calculation, learning capacity, language, and judgment.

Agitated

A state of increased restlessness or excitement, often displaying as physical or verbal outbursts, which can indicate distress or discomfort.

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