An assembly line is to be designed to operate 7 1/2 hours per day and supply a s

Question

An assembly line is to be designed to operate 7 1/2 hours per day and supply a steady demand of 300 units per day. Here are the tasks and their performance times: PRECEDING Performance Preceding Performance TASK TASKS Time (Sec) Task Tasks Time (Sec) a - 70 g d 60 b - 40 h e 50 c - 45 i f 15 d a 10 j g 25 e b 30 k h, i 20 f c 20 l j, k 25 a. Draw the precedence diagram. b. What is the workstation cycle time? c. What is the theoretical minimum number of workstations? d. Assign tasks to workstations using the longest operating time. e. What is the efficiency of your line balance? f. Suppose demand increases by 10 percent. How would you react to this? Assume that you can operate only 7 1_2 hours per day.

Explanation / Answer

b.What is the workstation cycle time?

Production time per period Required output per period Workstation cycle time 7.5 hours

C 450 mins 300 units 1.5 mins 90 seconds

c. What is the theoretical minimum number of workstations?

Sum of task time Number of workstations T Nt 410 seconds 4.5555555556 5

d.Assign tasks to workstations using the longest operating time.

Station 1 Job is in Station 2 Job is in Station 3 Job is in Station 4 Job is in Station 5 Job is in

station 1: a and d, time require is 70+10 = 80 second

and Idle time of station 1 = 90-80 =10 second

station 2: b and c, time require is 40+45 = 85 second

and Idle time of station 2 = 90-85 =05 second

station 3: g and j , time require is 60+25 = 85 second

and Idle time of station 3 = 90-85 =05 second

station 4: e and h , time require is 30+50 = 80

and Idle time of station 4 = 90-80 =10

station 5: f, I, k, and l , time require is 20+15+20+25 = 80

and Idle time of station 5 = 90-80 =10

seconds

e. What is the efficiency of your line balance?

Sum of task time Number of workstations Workstation cycle time T Nt 410 seconds 5 90 seconds

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