The following table presents the tasks, task times, and precedence relationships

Question

The following table presents the tasks, task times, and precedence relationships for an assembly line. The operations manager wants this line to assemble 350 units within a 7-hour shift. Immediately Task TimePreceding Task Tasks seconds 31 B,C D,E G,F 10 Example: Task Time for F 2+n- 2+45-47 seconds Task Time for H = 3 + n = 3 + 45 = 48 seconds Use your n (the summation of all digits of your ID number) to answer the following questions A. What is the assembly line's theoretical minimum number of workstations? (Round the theoretical minimum number of work stations to four decimal places.) What is the idle time of the last workstation of the most efficient layout (assembly line)? What is the percentage of idle time of the most efficient layout (assembly line)? B. C.

Explanation / Answer

n = 48

A)

Takt time = Time available/Number of units = 7*60*60/350 = 72 seconds

Theoretical number of workstation = Total task time/Takt time = (20+31+21+63+9+50+10+51)/72 = 255/72 = 3.5417

Round off = 4

B) For most efficient layout,

Workstation 1 = A+B+C= 20+31+21 = 72

Workstation 2 = D+E = 63+9 = 72

Workstation 3 = F + G = 50+10 = 60

Workstation 4 = H = 51

Idle time of last workstation which is 4 = Takt time - Workstation time = 72 -51 = 21 minutes

C) % of Idle time = 1 - Total task time/(Number of workstation*Takt time)*100 = 1 - 255/(4*72)*100 = 11.46%

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