Question 1

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A South Australian Industrial Centre has four machines of five different types and operates 40

hours per week. Part-mix ratios, batch quantities, part routings, machines, servers, and

production times are given in the table below for the five-part styles produced in the shop.

Operation sequence for each part style is in the order of station number. Part styles are identified

by letter and stations are identified by number.

Determine:

-) | CFS)

с

F5

205

%

(a) Which station is the bottleneck

(b) Total production rate of all five parts

(c) Production rates of each of the five-part styles

50

T

(d) Utilization of each server at each station

(e) Average utilization of the industrial center

Part style (i)

Part mix P

Batch quantities Qb

Stations (i)

1

2

3

4

F6

61

Y

4

+

Servers Si

1

1

1

2

F7

A

0.2

20

TPA (hr)

0.30

0.23

0.14

0.40

#

F8

B

0.3

20

TPB (hr)

0.20

0.35

0.20

0.28

F9

&

7 V8 A

C

0.4

20

Tpc (hr)

0.18

0.22

0.45

D

0.5

-1-

20

Tpo (hr)

0.12

0.28

0.38

09

F10

(

99

E

0.8

20

TPE (hr)

0.14

0.28

[10 Marks: 2 marks each]

0.48

100

---

)

0

F11

0+

F12