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DEVELOPMENT OF SOME INTEGRATED DECISION-
MAKING FRAMEWORK FOR ADVANCED
MANUFACTURING TECHNOLOGY SELECTION
PROBLEMS
Submitted By University Roll No.
1. Bibek Kumar Buranwal 11600713015
2. Rosan Kumar Pattanayak 11600713037
3. Saksham Pandey 11600713038
4. Souptik Sarkar 11600713045
5. Swagatam Mitra 11600713058
6. Vikash Mohta 11600713059
7. Yash Khara 11600713060
Under The Supervision of Dr. Prasenjit Chatterjee
QUICK REVIEW OF PREVIOUS WORKS:
Introduction to MCDM
Methods used for MCDM
• TOPSIS-GRA METHOD
• DENG’s METHOD
Material selection process for MPBR using Deng & TOPSIS-GRA
Material selection process for Armature shaft using Deng & TOPSIS-GRA
Comparison & Discussion of two different methods
Future works-PHASE 2
AIMS & OBJECTIVES:
• To know various methods for calculating weight
• To know about integrated MABAC-COV
• Apply Method to solve Problems in Advance manufacturing
technology selection
• Comparison of RANKS by different method
TERMINOLOGY:
MCDM
Normalisation
Weights
Alternatives & Criteria
Positive and Negative Ideal solution
MABAC
COV
PROCESS FOR WEIGHT CALCULATION:
Known Preference Order
 AHP(Analytic Hierarchy Process)
 ANP(Analytic Network Process)
 DEMATEL (Decision Making Trial and Evaluation Laboratory)
Unknown Preference Order
• Entropy Method
• Co-efficient of Variance
MATHEMATICAL MODELLING OF ENTROPY
METHOD:
Formation of Normalization Matrix
For efficiency type For cost type
Calculation of Ratio of index value
Calculation of information entropy
Finally Calculate the weight by equation given below
MATHEMATICAL MODEL OF MABAC-COV:
• Formation of Decision matrix
• Calculation of Normalization matrix by formula given below
For Beneficial Type For non-beneficial type
• Calculation of Weight by COV Method given below
𝑛𝑖𝑗 =
𝑥𝑖𝑗 − 𝑥𝑖
−
𝑥𝑖
+
− 𝑥𝑖
− 𝑛𝑖𝑗 =
𝑥𝑖𝑗 − 𝑥𝑖
+
𝑥𝑖
−
− 𝑥𝑖
+
• Calculation of weighted matrix
𝑣𝑖𝑗 = 𝑤𝑖. (𝑛𝑖𝑗 + 1)
• Determining the border approximation area matrix (G)
𝑔𝑖 =
𝑗=1
𝑚
𝑣𝑖𝑗
1/𝑚
• Calculation of the distance of the alternative from the border
approximation area for the matrix elements (Q)
𝑄 = 𝑉 − 𝐺 =
𝑣11 𝑣12 … 𝑣1𝑛
𝑣21 𝑣22 … 𝑣2𝑛
… … … …
𝑣 𝑚1 𝑣 𝑚2 … 𝑣 𝑚𝑛
−
𝑔1 𝑔2 … 𝑔 𝑛
𝑔1 𝑔2 … 𝑔 𝑛
… … … …
𝑔1 𝑔2 … 𝑔 𝑛
• Calculation of Si, Si = 𝑗=1
𝑚
𝑄𝑖𝑗
• Finally Calculation RANK by maximum value of Si
CASE STUDY OF ROBOT SELECTION:
Serial
No.
Load Capacity
(LC)
Repeatability
(RE)
Maximum tip speed
(MTS)
Memory
capacity(MC)
Manipulator reach
(MR
1 60 40 2540 500 990
2 6.35 15 1016 3000 1041
3 6.8 10 1727 1500 1676
4 10 20 1000 2000 965
5 2.5 10 560 500 915
6 4.5 8 1016 350 505
7 3 10 177 1000 920
Sperman's rank co-efficient, Rs
1
3
2
4
6
5
7
3
2
1
4
6
7
5
1
2
3
4
6
7
5
1
3
2
4
6
7
5
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7
Rank
Alternatives
Rank Comparison
Rank by Topsis + DOE Rank by MABAC+AHP Rank by MABAC+ENTROPY Rank by MABAC+COV
MABAC+
AHP
MABAC+
ENTROPY MABAC+COV
Sperman's rank co-
efficient Rs 0.75 0.821429 0.857143
Case Study of CNC Machine Selection by
MABAC-COV Method:
Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 5595200 1 7.5 50 7000 12 10
SKT28LM 6650040 6 22 300 3500 12 20
T-42 5279169 3 11 315 6000 12 24
ST30SS 11370315 4 22.4 406 4500 24 24
DS30 11370316 5 22.4 457 4000 12 24
LH-55N 33429309 7 45 650 1200 12 5
LOC-650 24235325 7 22.4 650 500 12 5
LU300 2ST 6047500 2 22.4 370 5000 20 20
LB-35II {M} 600T 10466900 4 30 490 3200 12 15
Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 0.98877338 1 1 0 1 0 0.263157895
SKT28LM 0.95130145 0.166667 0.613333333 0.416666667 0.461538462 0 0.789473684
T-42 1 0.666667 0.906666667 0.441666667 0.846153846 0 1
ST30SS 0.78361934 0.5 0.602666667 0.593333333 0.615384615 1 1
DS30 0.7836193 0.333333 0.602666667 0.678333333 0.538461538 0 1
LH-55N 0 0 0 1 0.107692308 0 0
LOC-650 0.32660527 0 0.602666667 1 0 0 0
LU300 2ST 0.97270596 0.833333 0.602666667 0.533333333 0.692307692 0.66666667 0.789473684
LB-35II {M} 600T 0.81571207 0.5 0.4 0.733333333 0.415384615 0 0.526315789
Alternatives
Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 0.16632117 0.28319 0.171810846 0.091918451 0.220744475 0.36216796 0.157150836
SKT28LM 0.1631874 0.165194 0.138594082 0.130217806 0.16131327 0.36216796 0.222630351
T-42 0.16726006 0.235991 0.163793006 0.132515767 0.20376413 0.36216796 0.248822157
ST30SS 0.14916414 0.212392 0.137677758 0.146456732 0.178293614 0.72433591 0.248822157
DS30 0.14916413 0.188793 0.137677758 0.154269801 0.169803442 0.36216796 0.248822157
LH-55N 0.08363003 0.141595 0.085905423 0.183836903 0.122258478 0.36216796 0.124411079
LOC-650 0.11094404 0.141595 0.137677758 0.183836903 0.110372237 0.36216796 0.124411079
LU300 2ST 0.16497746 0.259591 0.137677758 0.140941625 0.186783786 0.60361326 0.222630351
LB-35II {M} 600T 0.15184805 0.212392 0.120267592 0.159325316 0.156219167 0.36216796 0.189890594
• Normalization Matrix
• Weightage Matrix
BAA Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
G 0.14200219 0.198997 0.134576221 0.144341478 0.164142201 0.41400698 0.191885241
Q = V - G Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 0.02431899 0.084193 0.037234625 -0.052423027 0.056602274 -0.051839 -0.034734405
SKT28LM 0.02118521 -0.0338 0.004017862 -0.014123672 -0.002828931 -0.051839 0.03074511
T-42 0.02525787 0.036995 0.029216786 -0.011825711 0.039621929 -0.051839 0.056936916
ST30SS 0.00716195 0.013395 0.003101537 0.002115254 0.014151413 0.31032894 0.056936916
DS30 0.00716195 -0.0102 0.003101537 0.009928323 0.005661241 -0.051839 0.056936916
LH-55N -0.05837216 -0.0574 -0.048670798 0.039495424 -0.041883723 -0.051839 -0.067474163
LOC-650 -0.03105815 -0.0574 0.003101537 0.039495424 -0.053769964 -0.051839 -0.067474163
LU300 2ST 0.02297527 0.060594 0.003101537 -0.003399853 0.022641585 0.18960628 0.03074511
LB-35II {M} 600T 0.00984587 0.013395 -0.014308629 0.014983837 -0.007923034 -0.051839 -0.001994648
Alternative Si Rank
BNE 34S5 0.06335229 4
SKT28LM -0.04664627 7
T-42 0.12436335 3
ST30SS 0.40719145 1
DS30 0.02074725 5
LH-55N -0.2861464 9
LOC-650 -0.2189463 8
LU300 2ST 0.32626365 2
LB-35II {M} 600T -0.03784018 6
• Border Approximation Area Matrix (G)
• Distance Of The Alternative From The Border Approximation Area For The Matrix Elements (Q)
Case Study of CNC Machine Selection by
MABAC-Entropy Method:
Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 5595200 1 7.5 50 7000 12 10
SKT28LM 6650040 6 22 300 3500 12 20
T-42 5279169 3 11 315 6000 12 24
ST30SS 11370315 4 22.4 406 4500 24 24
DS30 11370316 5 22.4 457 4000 12 24
LH-55N 33429309 7 45 650 1200 12 5
LOC-650 24235325 7 22.4 650 500 12 5
LU300 2ST 6047500 2 22.4 370 5000 20 20
LB-35II {M} 600T 10466900 4 30 490 3200 12 15
Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 0.98877338 1 1 0 1 0 0.263157895
SKT28LM 0.95130145 0.166667 0.613333333 0.416666667 0.461538462 0 0.789473684
T-42 1 0.666667 0.906666667 0.441666667 0.846153846 0 1
ST30SS 0.78361934 0.5 0.602666667 0.593333333 0.615384615 1 1
DS30 0.7836193 0.333333 0.602666667 0.678333333 0.538461538 0 1
LH-55N 0 0 0 1 0.107692308 0 0
LOC-650 0.32660527 0 0.602666667 1 0 0 0
LU300 2ST 0.97270596 0.833333 0.602666667 0.533333333 0.692307692 0.66666667 0.789473684
LB-35II {M} 600T 0.81571207 0.5 0.4 0.733333333 0.415384615 0 0.526315789
• Normalization Matrix
WAIGHTAGE MATRIX Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 0.10639899 0.251159 0.105082507 0.057156745 0.157288847 0.52315733 0.138215876
SKT28LM 0.10439424 0.146509 0.084766555 0.080972056 0.11494185 0.52315733 0.195805825
T-42 0.10699961 0.209299 0.100178656 0.082400974 0.145189705 0.52315733 0.218841804
ST30SS 0.09542328 0.188369 0.084206115 0.091069747 0.127040992 1.04631465 0.218841804
DS30 0.09542328 0.167439 0.084206115 0.095928071 0.120991421 0.52315733 0.218841804
LH-55N 0.0534998 0.12558 0.052541253 0.11431349 0.087113823 0.52315733 0.109420902
LOC-650 0.07097312 0.12558 0.084206115 0.11431349 0.078644424 0.52315733 0.109420902
LU300 2ST 0.10553938 0.230229 0.084206115 0.087640343 0.133090563 0.87192888 0.195805825
LB-35II {M} 600T 0.09714024 0.188369 0.073557755 0.099071692 0.111312107 0.52315733 0.16701085
• Weightage Matrix
BAA Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
G 0.09084164 0.176489 0.082309161 0.08975444 0.116957571 0.59803961 0.168765165
• Border Approximation Area Matrix (G)
• Distance Of The Alternative From The Border Approximation Area For The Matrix Elements (Q)
Q = V - G Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis
BNE 34S5 0.01555734 0.07467 0.022773345 -0.032597694 0.040331276 -0.0748823 -0.030549289
SKT28LM 0.0135526 -0.02998 0.002457394 -0.008782384 -0.002015721 -0.0748823 0.02704066
T-42 0.01615797 0.03281 0.017869495 -0.007353465 0.028232134 -0.0748823 0.050076639
ST30SS 0.00458164 0.01188 0.001896954 0.001315308 0.010083421 0.44827504 0.050076639
DS30 0.00458164 -0.00905 0.001896954 0.006173631 0.00403385 -0.0748823 0.050076639
LH-55N -0.03734184 -0.05091 -0.029767908 0.024559051 -0.029843748 -0.0748823 -0.059344263
LOC-650 -0.01986852 -0.05091 0.001896954 0.024559051 -0.038313147 -0.0748823 -0.059344263
LU300 2ST 0.01469774 0.05374 0.001896954 -0.002114097 0.016132992 0.27388927 0.02704066
LB-35II {M} 600T 0.0062986 0.01188 -0.008751407 0.009317252 -0.005645464 -0.0748823 -0.001754314
Alternative Si Rank
BNE 34S5 0.01530281 4
SKT28LM -0.07260924 7
T-42 0.06291075 3
ST30SS 0.52810934 1
DS30 -0.01716916 5
LH-55N -0.25753043 9
LOC-650 -0.21686165 8
LU300 2ST 0.3852837 2
LB-35II {M} 600T -0.06353728 6
RANK COMPARISON:
0
1
2
3
4
5
6
7
8
9
10
1 2 3 4 5 6 7 8 9
Rank
Altrnatives
Rank by MABAC+ENTROPY Rank by MABAC+COV
RESULTS:
• Our Spearman’s Co-Relation co-efficient for the selection of robots is
.86 .
• Our Spearman’s Co-Relation co-efficient for the selection of CNC
machine is 1.
• In CNC machine selection we found that ST30SS is the best among the
nine CNC machine.
CONCLUSION:
• Various MCDM methods in this project.
• Among all the processes MACBAC-COV gives the satisfactory value.
• It is found that MACBAC-COV is better than rest of the MCDM
methods.
• So Integrated MACBAC-COV is considered as on of the best methods
in Advanced Manufacturing Technology Selection.
FUTURE WORKS:
• We confined our research area in CNC machine industry in this
project.
• Satisfactory results has motivated us to use this in other Industries
also.
• Selection of a better material among many attributes given to us can
be done by this method.
REFERENCES:
• Xia, Fei, Huan Wei, and Lian Wu Yang. "Improved COPRAS Method and Application in Material
Selection Problem." Applied Mechanics and Materials. Vol. 707. Trans Tech Publications, 2015.
• Pamučar, Dragan, and Goran Ćirović. "The selection of transport and handling resources in
logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC)." Expert
Systems with Applications 42.6 (2015): 3016-3028.
• İç, Yusuf Tansel. "An experimental design approach using TOPSIS method for the selection of
computer-integrated manufacturing technologies." Robotics and Computer-Integrated
Manufacturing 28.2 (2012): 245-256.
ACKNOWLEDGEMENT:
We the student of 4TH year MECHANICAL Engineering would like to
show our gratitude to the Department of Mechanical Engineering for
the invaluable knowledge and immense support. And specially cordial
thanks to Dr. Prasenjit Chatterjee for his guidance and helping hands
and Mr. Soutrik Bose for giving us the opportunity.
THANK YOU

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PROJECT 8th SEM - DEVELOPMENT OF SOME INTEGRATED DECISION-MAKING FRAMEWORK FOR ADVANCED MANUFACTURING TECHNOLOGY SELECTION PROBLEMS

  • 1. DEVELOPMENT OF SOME INTEGRATED DECISION- MAKING FRAMEWORK FOR ADVANCED MANUFACTURING TECHNOLOGY SELECTION PROBLEMS Submitted By University Roll No. 1. Bibek Kumar Buranwal 11600713015 2. Rosan Kumar Pattanayak 11600713037 3. Saksham Pandey 11600713038 4. Souptik Sarkar 11600713045 5. Swagatam Mitra 11600713058 6. Vikash Mohta 11600713059 7. Yash Khara 11600713060 Under The Supervision of Dr. Prasenjit Chatterjee
  • 2. QUICK REVIEW OF PREVIOUS WORKS: Introduction to MCDM Methods used for MCDM • TOPSIS-GRA METHOD • DENG’s METHOD Material selection process for MPBR using Deng & TOPSIS-GRA Material selection process for Armature shaft using Deng & TOPSIS-GRA Comparison & Discussion of two different methods Future works-PHASE 2
  • 3. AIMS & OBJECTIVES: • To know various methods for calculating weight • To know about integrated MABAC-COV • Apply Method to solve Problems in Advance manufacturing technology selection • Comparison of RANKS by different method
  • 5. PROCESS FOR WEIGHT CALCULATION: Known Preference Order  AHP(Analytic Hierarchy Process)  ANP(Analytic Network Process)  DEMATEL (Decision Making Trial and Evaluation Laboratory) Unknown Preference Order • Entropy Method • Co-efficient of Variance
  • 6. MATHEMATICAL MODELLING OF ENTROPY METHOD: Formation of Normalization Matrix For efficiency type For cost type Calculation of Ratio of index value
  • 7. Calculation of information entropy Finally Calculate the weight by equation given below
  • 8. MATHEMATICAL MODEL OF MABAC-COV: • Formation of Decision matrix • Calculation of Normalization matrix by formula given below For Beneficial Type For non-beneficial type • Calculation of Weight by COV Method given below 𝑛𝑖𝑗 = 𝑥𝑖𝑗 − 𝑥𝑖 − 𝑥𝑖 + − 𝑥𝑖 − 𝑛𝑖𝑗 = 𝑥𝑖𝑗 − 𝑥𝑖 + 𝑥𝑖 − − 𝑥𝑖 +
  • 9. • Calculation of weighted matrix 𝑣𝑖𝑗 = 𝑤𝑖. (𝑛𝑖𝑗 + 1) • Determining the border approximation area matrix (G) 𝑔𝑖 = 𝑗=1 𝑚 𝑣𝑖𝑗 1/𝑚 • Calculation of the distance of the alternative from the border approximation area for the matrix elements (Q) 𝑄 = 𝑉 − 𝐺 = 𝑣11 𝑣12 … 𝑣1𝑛 𝑣21 𝑣22 … 𝑣2𝑛 … … … … 𝑣 𝑚1 𝑣 𝑚2 … 𝑣 𝑚𝑛 − 𝑔1 𝑔2 … 𝑔 𝑛 𝑔1 𝑔2 … 𝑔 𝑛 … … … … 𝑔1 𝑔2 … 𝑔 𝑛
  • 10. • Calculation of Si, Si = 𝑗=1 𝑚 𝑄𝑖𝑗 • Finally Calculation RANK by maximum value of Si
  • 11. CASE STUDY OF ROBOT SELECTION: Serial No. Load Capacity (LC) Repeatability (RE) Maximum tip speed (MTS) Memory capacity(MC) Manipulator reach (MR 1 60 40 2540 500 990 2 6.35 15 1016 3000 1041 3 6.8 10 1727 1500 1676 4 10 20 1000 2000 965 5 2.5 10 560 500 915 6 4.5 8 1016 350 505 7 3 10 177 1000 920
  • 12. Sperman's rank co-efficient, Rs 1 3 2 4 6 5 7 3 2 1 4 6 7 5 1 2 3 4 6 7 5 1 3 2 4 6 7 5 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 Rank Alternatives Rank Comparison Rank by Topsis + DOE Rank by MABAC+AHP Rank by MABAC+ENTROPY Rank by MABAC+COV MABAC+ AHP MABAC+ ENTROPY MABAC+COV Sperman's rank co- efficient Rs 0.75 0.821429 0.857143
  • 13. Case Study of CNC Machine Selection by MABAC-COV Method: Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 5595200 1 7.5 50 7000 12 10 SKT28LM 6650040 6 22 300 3500 12 20 T-42 5279169 3 11 315 6000 12 24 ST30SS 11370315 4 22.4 406 4500 24 24 DS30 11370316 5 22.4 457 4000 12 24 LH-55N 33429309 7 45 650 1200 12 5 LOC-650 24235325 7 22.4 650 500 12 5 LU300 2ST 6047500 2 22.4 370 5000 20 20 LB-35II {M} 600T 10466900 4 30 490 3200 12 15
  • 14. Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 0.98877338 1 1 0 1 0 0.263157895 SKT28LM 0.95130145 0.166667 0.613333333 0.416666667 0.461538462 0 0.789473684 T-42 1 0.666667 0.906666667 0.441666667 0.846153846 0 1 ST30SS 0.78361934 0.5 0.602666667 0.593333333 0.615384615 1 1 DS30 0.7836193 0.333333 0.602666667 0.678333333 0.538461538 0 1 LH-55N 0 0 0 1 0.107692308 0 0 LOC-650 0.32660527 0 0.602666667 1 0 0 0 LU300 2ST 0.97270596 0.833333 0.602666667 0.533333333 0.692307692 0.66666667 0.789473684 LB-35II {M} 600T 0.81571207 0.5 0.4 0.733333333 0.415384615 0 0.526315789 Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 0.16632117 0.28319 0.171810846 0.091918451 0.220744475 0.36216796 0.157150836 SKT28LM 0.1631874 0.165194 0.138594082 0.130217806 0.16131327 0.36216796 0.222630351 T-42 0.16726006 0.235991 0.163793006 0.132515767 0.20376413 0.36216796 0.248822157 ST30SS 0.14916414 0.212392 0.137677758 0.146456732 0.178293614 0.72433591 0.248822157 DS30 0.14916413 0.188793 0.137677758 0.154269801 0.169803442 0.36216796 0.248822157 LH-55N 0.08363003 0.141595 0.085905423 0.183836903 0.122258478 0.36216796 0.124411079 LOC-650 0.11094404 0.141595 0.137677758 0.183836903 0.110372237 0.36216796 0.124411079 LU300 2ST 0.16497746 0.259591 0.137677758 0.140941625 0.186783786 0.60361326 0.222630351 LB-35II {M} 600T 0.15184805 0.212392 0.120267592 0.159325316 0.156219167 0.36216796 0.189890594 • Normalization Matrix • Weightage Matrix
  • 15. BAA Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis G 0.14200219 0.198997 0.134576221 0.144341478 0.164142201 0.41400698 0.191885241 Q = V - G Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 0.02431899 0.084193 0.037234625 -0.052423027 0.056602274 -0.051839 -0.034734405 SKT28LM 0.02118521 -0.0338 0.004017862 -0.014123672 -0.002828931 -0.051839 0.03074511 T-42 0.02525787 0.036995 0.029216786 -0.011825711 0.039621929 -0.051839 0.056936916 ST30SS 0.00716195 0.013395 0.003101537 0.002115254 0.014151413 0.31032894 0.056936916 DS30 0.00716195 -0.0102 0.003101537 0.009928323 0.005661241 -0.051839 0.056936916 LH-55N -0.05837216 -0.0574 -0.048670798 0.039495424 -0.041883723 -0.051839 -0.067474163 LOC-650 -0.03105815 -0.0574 0.003101537 0.039495424 -0.053769964 -0.051839 -0.067474163 LU300 2ST 0.02297527 0.060594 0.003101537 -0.003399853 0.022641585 0.18960628 0.03074511 LB-35II {M} 600T 0.00984587 0.013395 -0.014308629 0.014983837 -0.007923034 -0.051839 -0.001994648 Alternative Si Rank BNE 34S5 0.06335229 4 SKT28LM -0.04664627 7 T-42 0.12436335 3 ST30SS 0.40719145 1 DS30 0.02074725 5 LH-55N -0.2861464 9 LOC-650 -0.2189463 8 LU300 2ST 0.32626365 2 LB-35II {M} 600T -0.03784018 6 • Border Approximation Area Matrix (G) • Distance Of The Alternative From The Border Approximation Area For The Matrix Elements (Q)
  • 16. Case Study of CNC Machine Selection by MABAC-Entropy Method: Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 5595200 1 7.5 50 7000 12 10 SKT28LM 6650040 6 22 300 3500 12 20 T-42 5279169 3 11 315 6000 12 24 ST30SS 11370315 4 22.4 406 4500 24 24 DS30 11370316 5 22.4 457 4000 12 24 LH-55N 33429309 7 45 650 1200 12 5 LOC-650 24235325 7 22.4 650 500 12 5 LU300 2ST 6047500 2 22.4 370 5000 20 20 LB-35II {M} 600T 10466900 4 30 490 3200 12 15
  • 17. Alternatives Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 0.98877338 1 1 0 1 0 0.263157895 SKT28LM 0.95130145 0.166667 0.613333333 0.416666667 0.461538462 0 0.789473684 T-42 1 0.666667 0.906666667 0.441666667 0.846153846 0 1 ST30SS 0.78361934 0.5 0.602666667 0.593333333 0.615384615 1 1 DS30 0.7836193 0.333333 0.602666667 0.678333333 0.538461538 0 1 LH-55N 0 0 0 1 0.107692308 0 0 LOC-650 0.32660527 0 0.602666667 1 0 0 0 LU300 2ST 0.97270596 0.833333 0.602666667 0.533333333 0.692307692 0.66666667 0.789473684 LB-35II {M} 600T 0.81571207 0.5 0.4 0.733333333 0.415384615 0 0.526315789 • Normalization Matrix WAIGHTAGE MATRIX Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 0.10639899 0.251159 0.105082507 0.057156745 0.157288847 0.52315733 0.138215876 SKT28LM 0.10439424 0.146509 0.084766555 0.080972056 0.11494185 0.52315733 0.195805825 T-42 0.10699961 0.209299 0.100178656 0.082400974 0.145189705 0.52315733 0.218841804 ST30SS 0.09542328 0.188369 0.084206115 0.091069747 0.127040992 1.04631465 0.218841804 DS30 0.09542328 0.167439 0.084206115 0.095928071 0.120991421 0.52315733 0.218841804 LH-55N 0.0534998 0.12558 0.052541253 0.11431349 0.087113823 0.52315733 0.109420902 LOC-650 0.07097312 0.12558 0.084206115 0.11431349 0.078644424 0.52315733 0.109420902 LU300 2ST 0.10553938 0.230229 0.084206115 0.087640343 0.133090563 0.87192888 0.195805825 LB-35II {M} 600T 0.09714024 0.188369 0.073557755 0.099071692 0.111312107 0.52315733 0.16701085 • Weightage Matrix
  • 18. BAA Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis G 0.09084164 0.176489 0.082309161 0.08975444 0.116957571 0.59803961 0.168765165 • Border Approximation Area Matrix (G) • Distance Of The Alternative From The Border Approximation Area For The Matrix Elements (Q) Q = V - G Area Cost Spindle motor power Max Diameter Max Spindle speed No of tools Rapid traverse X axis BNE 34S5 0.01555734 0.07467 0.022773345 -0.032597694 0.040331276 -0.0748823 -0.030549289 SKT28LM 0.0135526 -0.02998 0.002457394 -0.008782384 -0.002015721 -0.0748823 0.02704066 T-42 0.01615797 0.03281 0.017869495 -0.007353465 0.028232134 -0.0748823 0.050076639 ST30SS 0.00458164 0.01188 0.001896954 0.001315308 0.010083421 0.44827504 0.050076639 DS30 0.00458164 -0.00905 0.001896954 0.006173631 0.00403385 -0.0748823 0.050076639 LH-55N -0.03734184 -0.05091 -0.029767908 0.024559051 -0.029843748 -0.0748823 -0.059344263 LOC-650 -0.01986852 -0.05091 0.001896954 0.024559051 -0.038313147 -0.0748823 -0.059344263 LU300 2ST 0.01469774 0.05374 0.001896954 -0.002114097 0.016132992 0.27388927 0.02704066 LB-35II {M} 600T 0.0062986 0.01188 -0.008751407 0.009317252 -0.005645464 -0.0748823 -0.001754314 Alternative Si Rank BNE 34S5 0.01530281 4 SKT28LM -0.07260924 7 T-42 0.06291075 3 ST30SS 0.52810934 1 DS30 -0.01716916 5 LH-55N -0.25753043 9 LOC-650 -0.21686165 8 LU300 2ST 0.3852837 2 LB-35II {M} 600T -0.06353728 6
  • 19. RANK COMPARISON: 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 Rank Altrnatives Rank by MABAC+ENTROPY Rank by MABAC+COV
  • 20. RESULTS: • Our Spearman’s Co-Relation co-efficient for the selection of robots is .86 . • Our Spearman’s Co-Relation co-efficient for the selection of CNC machine is 1. • In CNC machine selection we found that ST30SS is the best among the nine CNC machine.
  • 21. CONCLUSION: • Various MCDM methods in this project. • Among all the processes MACBAC-COV gives the satisfactory value. • It is found that MACBAC-COV is better than rest of the MCDM methods. • So Integrated MACBAC-COV is considered as on of the best methods in Advanced Manufacturing Technology Selection.
  • 22. FUTURE WORKS: • We confined our research area in CNC machine industry in this project. • Satisfactory results has motivated us to use this in other Industries also. • Selection of a better material among many attributes given to us can be done by this method.
  • 23. REFERENCES: • Xia, Fei, Huan Wei, and Lian Wu Yang. "Improved COPRAS Method and Application in Material Selection Problem." Applied Mechanics and Materials. Vol. 707. Trans Tech Publications, 2015. • Pamučar, Dragan, and Goran Ćirović. "The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC)." Expert Systems with Applications 42.6 (2015): 3016-3028. • İç, Yusuf Tansel. "An experimental design approach using TOPSIS method for the selection of computer-integrated manufacturing technologies." Robotics and Computer-Integrated Manufacturing 28.2 (2012): 245-256.
  • 24. ACKNOWLEDGEMENT: We the student of 4TH year MECHANICAL Engineering would like to show our gratitude to the Department of Mechanical Engineering for the invaluable knowledge and immense support. And specially cordial thanks to Dr. Prasenjit Chatterjee for his guidance and helping hands and Mr. Soutrik Bose for giving us the opportunity. THANK YOU