Tutorial (4) Arranging Machines in GT Cell Dr. Mohamed Salah Mechanical Engineering Dept. King Abdulaziz University MENG 436: Manufacturing Planning and Shop Loading 2019 King Abdulaziz University Faculty of Engineering Mechanical Dept.
Tutorial (4)Arranging Machines in GT Cell
Dr. Mohamed Salah
Mechanical Engineering Dept.
King Abdulaziz University
MENG 436: Manufacturing Planning and
Shop Loading
2019
King Abdulaziz University
Faculty of Engineering
Mechanical Dept.
Arranging Machines in a GT Cell (Hollier Method 2)
To:
From: 1 2 3 4
1 0 10 0 40
2 0 0 0 0
3 50 0 0 20
4 0 50 0 0
•Four machines used to produce a
family of parts are to be arranged
into a GT cell. The From-To data
(From/To chart) for the parts
processed by the machines are
shown in the table.
(a) Determine the most logical machine sequence for this data.
(b) Construct the network diagram for the data, showing where and
how many parts enter and exit the system.
(c) Compute the percentages of in-sequence moves, bypassing
moves, and backtracking moves in the solution.
Hollier Method
Step 1 & 2:To
From 1 2 3 4“From”
sums
1 - 10 0 40 50
2 0 - 0 0 0
3 50 0 - 20 70
4 0 50 0 - 50
“To” sums
50 60 0 60 170
Step 3
Op. From ToFrom/To
ratioSequence
1 50 50 1.0 2
2 0 60 0 4
3 70 0 1
4 50 60 0.83 3
Sequence: 3 → 1 → 4 → 2
Solution: (a) Hollier method 2
Hollier Method
(b) Network diagram:
3 1 4 2
70 50
20
40
10
50 60
10
(c) % in-sequence moves = (50 + 40 + 50) / 170 = 0.824 = 82.4%
% bypassing moves = (20 + 10) / 170 = 0.176 = 17.6%
% backtracking moves = 0
Performance Measures
1. Percentage of in-sequence moves
2. Percentage of bypassing moves
3. Percentage of backtracking moves
❖ Each measure is computed by adding all of the values
representing that type of move and dividing by the total
number of moves.
❖ It is desirable for the percentage of in-sequence moves to
be high, and for the percentage of backtracking moves to
be low.
❖ Bypassing moves are less desirable than in-sequence moves,
but better than backtracking.
Sheet
To:
From: 1 2 3 4
1 0 5 0 25
2 30 0 0 15
3 10 40 0 0
4 10 0 0 0
Problem 1
Determine a logical machine arrangement using
Hollier Method 2
Sheet
Part Weekly quantity Machine routing
A 50 3 → 2 → 6
B 20 5 → 1
C 75 5 → 4
D 10 5→ 4 → 1
E 12 3 → 2 → 6
F 40 2 → 6
3. The following table lists the weekly quantities and routings of six parts
that are being considered for cellular manufacturing in a machine shop.
Parts are identified by letters and machines are identified numerically.
For the data given, (a) develop the part-machine incidence matrix, and
(b) apply the rank order clustering technique to the part-machine
incidence matrix to identify logical part families and machine groups.
Problem 3
Sol. P#3
Solution: (a) See step 1. (b) See steps 1 through 3.
Step 2
A B C D E I Rank A B C D E I
1 1 1 5 2 1 1 1
2 1 1 1 1 6 1 1 1
3 1 1 3 3 1 1
4 1 1 6 5 1 1 1
5 1 1 1 4 1 1 1
6 1 1 1 2 4 1 1
Rank 3 8 9 6 1 10
A E F D B C
2 1 1 1
6 1 1 1
3 1 1
5 1 1 1
1 1 1
4 1 1
Rank 1 2 3 4 5 6
Part families and machine groups: I = (A, E, F) and (2, 6, 3)
II = (D, B, C) and (5, 1, 4)
Sheet
4. In Problem (2), two logical machine groups are identified by rank order
clustering. For machine group including machine 6:
(a) determine the most logical sequence of machines for this data.
(b) Construct the network diagram for the data.
(c) Compute the percentages of in-sequence moves, bypassing moves,
and backtracking moves in the solution.
Part Weekly quantity Machine routing
A 50 3 → 2 → 6
B 20 5 → 1
C 75 5 → 4
D 10 5→ 4 → 1
E 12 3 → 2 → 6
F 40 2 → 6
Solution: (a) Hollier method applied to first machine group (machines 2, 6, 3):
Problem 4
Sheet
Step 2
2 6 3 From From sums To
sums
From/To ratio
Order
2 - 102 - 102 2 102 62 1.64 2
6 - - - 0 6 0 102 0 3
3 62 - - 62 3 62 0 1
To 62 102 0 164
Sequence: 3 → 2 → 6
(c) % in-sequence moves = (62 + 102)/164 = 1 = 100%
% bypassing moves = 0/164 = 0 = 0%
% backtracking moves = 0/164 = 0 =0%
(b) Network diagram
Note: solve the next cell (1,4,5)