Modelling and analysis of FMS productivity variables by ISM, SEM and GTMA approach
Vineet JAIN1,*(),Tilak RAJ2
1. Department of Mechanical Engineering, Amity University Haryana, Gurgaon 122413, India 2. Department of Mechanical Engineering, YMCA University of Science and Technology, Faridabad 121006, India
Productivity has often been cited as a key factor in a flexible manufacturing system (FMS) performance, and actions to increase it are said to improve profitability and the wage earning capacity of employees. Improving productivity is seen as a key issue for survival and success in the long term of a manufacturing system. The purpose of this paper is to make a model and analysis of the productivity variables of FMS. This study was performed by different approaches viz. interpretive structural modelling (ISM), structural equation modelling (SEM), graph theory and matrix approach (GTMA) and a cross-sectional survey within manufacturing firms in India. ISM has been used to develop a model of productivity variables, and then it has been analyzed. Exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) are powerful statistical techniques. CFA is carried by SEM. EFA is applied to extract the factors in FMS by the statistical package for social sciences (SPSS 20) software and confirming these factors by CFA through analysis of moment structures (AMOS 20) software. The twenty productivity variables are identified through literature and four factors extracted, which involves the productivity of FMS. The four factors are people, quality, machine and flexibility. SEM using AMOS 20 was used to perform the first order four-factor structures. GTMA is a multiple attribute decision making (MADM) methodology used to find intensity/quantification of productivity variables in an organization. The FMS productivity index has purposed to intensify the factors which affect FMS.
. [J]. Frontiers of Mechanical Engineering, 2014, 9(3): 218-232.
Vineet JAIN,Tilak RAJ. Modelling and analysis of FMS productivity variables by ISM, SEM and GTMA approach. Front. Mech. Eng., 2014, 9(3): 218-232.
Qualitative measure of interdependence of FMS factor
Assigned value (fij)
1
Very strong
5
2
Strong
4
3
Medium
3
4
Weak
2
5
Very weak
1
Tab.3
Variables
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
V
V
O
O
O
V
O
V
V
V
V
V
V
V
V
V
V
V
O
2
O
O
O
O
O
O
O
O
O
O
O
V
O
O
O
O
O
V
3
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
4
V
V
V
V
O
O
O
V
V
V
A
V
V
V
V
V
5
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
6
A
A
V
V
O
A
O
V
V
O
A
A
A
A
7
O
O
V
V
O
A
O
V
V
O
A
A
A
8
O
O
V
V
O
A
O
V
V
V
A
O
9
A
A
A
A
A
A
V
O
V
A
A
10
V
V
V
V
O
V
O
V
V
V
11
V
V
V
V
A
A
O
V
V
12
O
O
O
O
O
A
A
O
13
O
O
A
A
A
A
O
14
O
O
O
O
O
O
15
V
V
V
V
X
16
V
V
V
V
17
A
A
A
18
A
A
19
X
Tab.4
Variables
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1
1
0
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
2
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
3
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
1
1
1
1
1
1
0
1
1
1
0
0
0
1
1
1
1
5
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
1
1
0
0
7
0
0
0
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
0
0
8
0
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
1
1
0
0
9
0
0
0
0
0
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
10
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
0
1
1
1
1
11
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
12
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
13
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
14
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
15
0
0
0
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
16
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
1
1
1
1
1
17
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
18
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
19
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
1
1
20
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
1
1
Tab.5
Variables
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1*
1
1*
1*
1*
1
1
2
0
1
1
0
0
0
0
0
0
1
0
0
1*
0
1*
0
1*
1*
1*
1*
3
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
1
1
1
1
1
1
0
1
1
1
1*
0
0
1
1
1
1
5
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
1
1
0
0
7
0
0
0
0
0
1
1
1
1
0
1
1
1
1*
0
0
1
1
1*
1*
8
0
0
0
0
0
1
1
1
0
0
1
1
1
0
0
0
1
1
1*
1*
9
0
0
0
0
0
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
10
0
0
0
1
0
1
1
1
1
1
1
1
1
0
1
1*
1
1
1
1
11
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
1
1
1
1
12
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
13
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
14
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
15
0
0
0
0
0
1
1
1
0
0
1
1
1
0
1
1
1
1
1
1
16
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
1
1
1
1
1
17
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
18
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
19
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
1
1
20
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
1
1
Tab.6
No.
Variables
Reachability set
Antecedent set
Intersection set
level
3
Unit labor cost
3
1, 2, 3
3
I
5
Customer satisfaction
5
1, 4, 5
5
I
12
Unit manufacturing cost
12
1, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15
12
I
13
Throughput time
13
1, 2, 4, 6, 7, 8, 10, 11, 13, 15, 16, 17, 18
13
I
14
Set up cost
9, 14
1, 4, 7, 9, 14
9, 14
II
17
Reduction in material flow
17
1, 2, 4, 6, 7, 8, 10, 11, 15, 16, 17, 18, 19, 20
17
III
18
Reduced work in process inventory
18
1, 2, 4, 6, 7, 8, 10, 11, 15, 16, 18, 19, 20
18
IV
6
Reduction in scrap percentage
6
1, 4, 6, 7, 8, 10, 15, 19, 20
6
V
19
Capacity to handle new product
19, 20
1, 2, 4, 7, 8, 10, 11, 15, 16, 19, 20
19, 20
VI
20
Ability to manufacture a variety of product
19, 20
1, 2, 4, 7, 8, 10, 11, 15, 16, 19, 20
19, 20
VI
11
Manufacturing lead time & setup time
11
1, 4, 7, 8, 10, 11, 15, 16
11
VII
7
Reduction in rework percentage
7, 8
1, 4, 7, 8, 10, 11, 15
7, 8
VIII
8
Reduction of rejection
7, 8
1, 4, 7, 8, 10, 11, 15
7, 8
VIII
16
Use of automated material handling devices
15, 16
1, 10, 15, 16
15, 16
VIII
4
Effect of tool life
4
1, 4, 10
4
IX
10
Trained worker
10
1, 10
10
X
1
Training
1
1
1
XI
2
Financial incentive
2
2
2
XI
Tab.7
Variables
3
5
12
13
9
14
17
18
6
19
20
11
7
8
15
16
4
10
1
2
Drive Power
3
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
5
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
12
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
13
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
9
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
4
14
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
17
0
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
3
18
0
0
0
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
4
6
0
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
5
19
0
0
0
0
1
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
6
20
0
0
0
0
1
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
6
11
0
0
1
1
1
0
1
1
0
1
1
1
0
0
0
0
0
0
0
0
8
7
0
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
12
8
0
0
1
1
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
10
15
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
12
16
0
0
0
1
1
0
1
1
0
1
1
1
0
0
1
1
0
0
0
0
9
4
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
14
10
0
0
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
19
2
1
0
0
1
0
0
1
1
0
1
1
0
0
0
1
0
0
1
0
1
9
Dependence power
3
3
11
13
12
5
14
13
10
11
11
8
6
6
5
4
3
3
1
1
Tab.8
Fig.1
Sr. No.
Dimensions
Variables/Items
Factor loading
Cronbach’s alpha
1
People
TrainingFinancial incentiveUnit labor cost
0.8490.8540.851
0.909
2
Quality
Effect of tool lifeCustomer satisfactionReduction in scrap percentageReduction in rework percentageReduction of rejection
0.8560.8080.8210.8420.789
0.953
3
Machine
Equipment utilizationTrained workerManufacturing lead time & setup timeUnit manufacturing costThroughput timeSet up cost
0.8030.8510.8340.7800.7540.640
0.942
4
Flexibility
AutomationUse of automated material handling devicesReduction in material flowReduced work in process inventoryCapacity to handle new productAbility to manufacture a variety of product
0.8480.8450.8300.8390.7640.818
0.937
Tab.9
Fig.2
Sr. No.
Dimensions
Variables/Items
Standardized estimate
p-value (* significant at p<0.001)
AVE
CR
1
People
Training
0.894
*
0.78
0.91
Financial incentive
0.945
*
Unit labor cost
0.803
*
2
Quality
Effect of tool life
0.939
*
0.80
0.95
Customer satisfaction
0.883
*
Reduction in scrap percentage
0.916
*
Reduction in rework percentage
0.886
*
Reduction of rejection
0.841
*
3
Machine
Equipment utilization
0.881
*
0.72
0.94
Trained worker
0.948
*
Manufacturing lead time & setup time
0.911
*
Unit manufacturing cost
0.885
*
Throughput time
0.727
*
Set up cost
0.723
*
4
Flexibility
Automation
0.907
*
0.73
0.94
Use of automated material handling devices
0.906
*
Reduction in material flow
0.880
*
Reduced work in process inventory
0.865
*
Capacity to handle new product
0.827
*
Ability to manufacture a variety of product
0.725
*
Tab.10
People
Quality
Machine
Flexibility
People
0.780
Quality
0.270
0.800
Machine
0.325
0.454
0.720
Flexibility
0.225
0.270
0.297
0.730
Tab.11
Fig.3
Permanent function at the subsystem/system level
Maximum value
Minimum value
Current value
PerP1*
1363
94
888
PerP2*
232864
6001
128676
PerP3*
1447520
770
629856
PerP4*
1472780
2756
634644
PerP*
676.64×1018
11.97×1011
45.67×1018
Tab.12
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