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IBT Industrial Solutions produces forty units of rack and pinion type steering gears during an eight...

IBT Industrial Solutions produces forty units of rack and pinion type steering gears during an eight hour work day. The tasks, times, and predecessor activities involved in the production process are given below.

Task

Time (minutes)

Predecessor(s)

A

2

-

B

2

A

C

8

-

D

6

C

E

3

B

F

10

D, E

G

4

F

H

3

G

a) Determine the cycle time.

b) How many work stations are required to produce the forty units of rack and pinion type steering gears during an eight hour work day.

c) Draw the precedence diagram and assign the tasks to workstations.

business   Operations-Management   
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Answer #1

CYCLE TIME = OPERATING TIME / DESIRED OUTPUT

CYCLE TIME = 28800 / 40 = 720

THEORETICAL NUMBER OF WORKSTATIONS REQUIRED = SIGMA(TASK TIMES) / CYCLE TIME

N = (120 + 120 + 480 + 360 + 180 + 600 + 240 + 180) / 720 = 4


ASSIGNMENT OF WORKSTATIONS


WORKSTATION

ASSIGN TASK

TASK TIME

TIME REMAINING

IDLE TIME

1

C

480

240

A

120

120

B

120

0

0

2

D

360

360

E

180

180

180

3

F

600

120

120

4

G

240

480

H

180

300

300


IDLE TIME = 600

EFFICIENCY = (1 - (SIGMA(IDLE TIME) / (NUMBER OF WORKSTATIONS * CYCLE TIME))) * 100

EFFICIENCY = (1 - (600 / (4 * 720))) * 100 = 79.17


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