455
Problems
Rank Order Clusterin Clustering g 15.4
Pans Machines
A
B
,----1
15.5
':~Y:::~;'~:~!~i~!~~ifl:;:~~:');:::':;:;
A~'P~P,:"~
Parts Machines
15.6
A
Apply Apply the rank rank order order clusterin clustering g techniqu techniquee to the part-mac part-machine hine incideuc incideucee matrix matrix in thetol. thetol. lo,,;ng lo,,;ng table table to identify identify logical logical pan pan families families and machine machine groups. groups. Parts Parts are identified identified by lettersand tersand machine machiness are identifie identified d numerical numerically ly
Chap.
45.
15
I Group
Tecbnoto
qv end Cellular
Manufacturing
Parts
Machines
15.7
Apply the rank order clustering technique to the part-machine incidence matrix in the foll ow in g
t ab le
t o i de nt if y
l og ic al
p ar t
tees, and machines are identified
f am il ie s
a nd
ma ch in e
gr ou ps .
Pa rt s
ar e id en ti fi ed
by le t-
numerically.
Parts
Machines
15.8
The
following
table
A
lists
the
weekly
quantities
and
routings
of ten p arts
that
are
being
oon-
stdered for cellular manufacturing in a machine shop. Parts are identified hylettcrs, and rnachines are identified numerically. For the data given, (a) develop the part-machine incidence matrix.and (b) apply the Tank order clustering technique 10the part-machine incidence rnatrix to identify
logical
part
families
and
machine
groups.
457
Problems
P,rt
Weekly
Machine
Quantity
50
Part
Routing
Weekly
Quantitv
60
3--t2--t7
Machine
Routing
5 .....•,
20
6~1
5
3 .....• 2...,.4
75
6~5
100
3 _ 2 _4...,.7
10
6--t5
....• 1
40
2...,. 4 ...,.7
12
3--t2
....• 7...,.4
15
5...,>6...,.1
Machine Cell Organization and Design 15.9
Four machines used to produce a family of parts are to be arranged into a GT cell. The From-To data for the parts pf<)cess~dby the machine~ are shown in the table below. (a) Deterrnine the most logical sequence of machines for this data using Hollier Method I. (b) Construct the flow diagram for the data, showing where and how many parts enter and exit the system. (c) Compute the percentage of in-sequence moves and the percentage of backtracking moves in the solution. (d) Develop a feasible layout plan for the cell To: From:
10 0 0 50
a
o
50 o
40 0 20 0
15.10
Solve Problem 15.9 except using Hollier Method 2.
15.11
In Problem 15.8. two logical machinr: groups are identified by rank order clustering. For each machine group, (a) determine the most logical sequence of machines for this data using Hollier Method 1. (b) Construct the flow diagram for the data. (c) Compute the percentage of in-sequence moves and the percentage of backtracking moves in the solution
15.12
Solve Problem 15.11 only using Hollier Method 2.
15.13
Five machines will constitute a UT cell.The From-To data tor the machines are shown in the table below. (a) Determine the most logical sequence of machines lor this data, according to Hollier Method Land construct the flow diagram for the data.showing where and how many parts enter and exit the system. (b) Repeat step (a) only using Hollier Method 2, (c) Com pute the percentage of in-sequence moves and the percentage of backtracking moves in the solution for the two methods. Which method is better.according to these measures? (d) Develop a feasible layout plan for the cell based on the better of the two Hollier methods. To: From'
o
10
80
o
o
o
o
85
o
o
o
o
70 o
o 75
20
o
o
20
Chap,
458
15
I
Group
Technology
and
Cellular
Manufacturing
15.14
Operation Part
Machine
1
Machine
2
Machine
15,0
4.0 15.0 26.0 15.0 8.0 15.15
(min)
nme
-----
3
10.0 7.0 15.0 10.0 10.0
18.0 20,0
20.0 16,0
This problem is concerned with the design of a GT cell to machine the components for a f
numerical
control (ONe)
to download
the NC programs
from the plant
computer to the CNC machines In the cell.The parts are rotational type, so the cell must be able to perform turning, boring. facing, drilling, and cylindrical grind ing operaticns.Accordingly. there will be several machine tools in the cell, of types and numbers to be specifled by the designer To transfer parts between machines in the cell , the designer may elect to use a belt or similar conveyor system.Any conveyor equipment of this type will be 0.4 m wide. The arrangement of the various pieces of equipment in the cell is the principal problem to be considered. The raw workpans will be delivered into the m~chine cellon a bell conveyor. The finished parts must be deposited onto a conveyor that delivers them to the assembly department. The input and output conveyors are 0.4 ill wide, and the designer must specify where they enter and exit the cell.The parts are currently machined by conventional methods in a process-type layout. In the current production method, there are seven machi[\e~ involved, but two of the machine, are duplicates. From-To data have been collected for the jobs that are relevant to this problem.
To:
2
From:
Parts
in
3
4
5
6
7
Parts Out
112
0
61
59
53
0
12
0
0
0
0
226
0
45
74
0
0
35
31
0
180
0
82
0
0
0
23
5
16
73
0
0
0
23
0
14
0
0
0
C
0
0
325
174
16
20
30
20
0
0
0
25
0
0
0
0
75
300
459
Problems
lhc From- To data indicate the number of workparts moved between
Machine
Operation
Turn
outside
Bore
inside
diameter diameter
Face ends
Production (pcjhr!
Rate Machine
Dimensions
9
3.5m
x
1-5m
15
3,Om
x
1.6m
10
2.5m
x 1.5m
Gnnd
outside
diarneter
12
3.0m
x
1.5m
Grind
outside
diameter
12
3.0m
x
1.5m
Inspect
5
Drill
9
Bench
1.5 m x
1.5m
1.5 m
x 2.5m
