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
- 4. TERMINOLOGY: MCDM Normalisation Weights Alternatives & Criteria Positive and Negative Ideal solution MABAC COV
- 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