Skip to main content
Top

2011 | OriginalPaper | Chapter

7. Multi-objective Optimisation and Multi-criteria Decision Making for FDM Using Evolutionary Approaches

Authors : Nikhil Padhye, Kalyanmoy Deb

Published in: Multi-objective Evolutionary Optimisation for Product Design and Manufacturing

Publisher: Springer London

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this chapter, we methodologically describe a multi-objective problem solving approach, concurrently minimising two conflicting goals—average surface roughness—Ra and build time—T, for object manufacturing in Fused Deposition Method (FDM) process by usage of evolutionary algorithms. Popularly used multi-objective genetic algorithm (NSGA-II) and recently proposed multi-objective particle swarm optimisation (MOPSO) algorithms are employed for the optimisation purposes. Statistically significant performance measures are employed to compare the two algorithms and approximate the Pareto-optimal fronts. To refine the solutions obtained by the evolutionary optimisers, an effective mutation-driven hill-climbing local search is proposed. Three new proposals and several suggestions pertaining to the issue of decision making in the presence of multiple optimal solutions are made. The overall procedure is integrated into an engine called MORPE—multi-objective rapid prototyping engine. Sample objects are considered and several case studies are performed to demonstrate the working of MORPE. Finally, a careful investigation of the optimal build orientations for several considered objects is done or selected basis and a trend is discovered, which can be considered highly useful for various practical rapid prototyping (RP) applications.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Alexander, P., Allen, S., & Dutta, D. (1998). Part orientation and build cost determination in layered manufacturing. Computer Aided Design, 30, 343–356.CrossRef Alexander, P., Allen, S., & Dutta, D. (1998). Part orientation and build cost determination in layered manufacturing. Computer Aided Design, 30, 343–356.CrossRef
2.
go back to reference Ablani, M., & Bagchi, A. (1995). Quantification of errors in rapid prototyping processes and determination of preferred orientation of parts. Transactions of the North American Manufacturing Research Institution/SME, 23, 319–323. Ablani, M., & Bagchi, A. (1995). Quantification of errors in rapid prototyping processes and determination of preferred orientation of parts. Transactions of the North American Manufacturing Research Institution/SME, 23, 319–323.
3.
go back to reference Cheng, W., Fuh, J. Y. H., Nee, A. Y. C., Wong, Y. S., Loh, H. T., & Miyazawa, T. (1995). Multi-objective optimization of part-building orientation in stereolithography. Rapid Prototyping Journal, 1, 22–33.CrossRef Cheng, W., Fuh, J. Y. H., Nee, A. Y. C., Wong, Y. S., Loh, H. T., & Miyazawa, T. (1995). Multi-objective optimization of part-building orientation in stereolithography. Rapid Prototyping Journal, 1, 22–33.CrossRef
4.
go back to reference Hur, J., & Lee, K. (1998). The development of a CAD environment to determine the preferred build-up direction for layered manufacturing. International Journal of Advanced Manufacturing Technology, 14, 247–254.CrossRef Hur, J., & Lee, K. (1998). The development of a CAD environment to determine the preferred build-up direction for layered manufacturing. International Journal of Advanced Manufacturing Technology, 14, 247–254.CrossRef
5.
go back to reference Kim, H. C., & Lee, S. H. (2005). Reduction of post-processing for stereolithography systems by fabrication-direction optimization. Computer Aided Design, 37(7), 711–725.CrossRef Kim, H. C., & Lee, S. H. (2005). Reduction of post-processing for stereolithography systems by fabrication-direction optimization. Computer Aided Design, 37(7), 711–725.CrossRef
6.
go back to reference Pandey, P. M., Thrimurthulu, K., & Reddy, N. V. (2004). Optimal part deposition orientation in FDM by using a multicriteria. International Journal of Production Research, 42(19), 4069–4089.MATHCrossRef Pandey, P. M., Thrimurthulu, K., & Reddy, N. V. (2004). Optimal part deposition orientation in FDM by using a multicriteria. International Journal of Production Research, 42(19), 4069–4089.MATHCrossRef
7.
go back to reference Xu, F., Wong, S. Y., Loh, T. H., Fuh, H., & Miyazawa, T. (1997). Optimal orientation with variable slicing in stereolithography. Rapid Prototyping Journal, 3(3), 76–88.CrossRef Xu, F., Wong, S. Y., Loh, T. H., Fuh, H., & Miyazawa, T. (1997). Optimal orientation with variable slicing in stereolithography. Rapid Prototyping Journal, 3(3), 76–88.CrossRef
8.
go back to reference Hur, S. M., Choi, K. H., Lee, S. H., & Chang, P. K. (2001). Determination of fabricating orientation and packing in SLS process. Material Process Technology, 112(2–3), 236–243.CrossRef Hur, S. M., Choi, K. H., Lee, S. H., & Chang, P. K. (2001). Determination of fabricating orientation and packing in SLS process. Material Process Technology, 112(2–3), 236–243.CrossRef
9.
go back to reference Lan, P. T., Chow, S. Y., Chen, L. L., & Gemmill, D. (1997). Determining fabrication orientations for rapid prototyping with stereolithography apparatus. Computer Aided Design, 29, 53–62.CrossRef Lan, P. T., Chow, S. Y., Chen, L. L., & Gemmill, D. (1997). Determining fabrication orientations for rapid prototyping with stereolithography apparatus. Computer Aided Design, 29, 53–62.CrossRef
10.
go back to reference Pham, D. T., Dimov, D. T., & Gault, R. S. (1999). Part orientation in stereolithography. International Journal of Advanced Manufacturing Technology, 15, 674–682.CrossRef Pham, D. T., Dimov, D. T., & Gault, R. S. (1999). Part orientation in stereolithography. International Journal of Advanced Manufacturing Technology, 15, 674–682.CrossRef
11.
go back to reference Thrimurthulu, K., Pandey, P. M., & Reddy, N. V. (2004). Optimum part deposition orientation in fused deposition modeling. International Journal of Machine Tools and Manufacture, 4, 585–594.CrossRef Thrimurthulu, K., Pandey, P. M., & Reddy, N. V. (2004). Optimum part deposition orientation in fused deposition modeling. International Journal of Machine Tools and Manufacture, 4, 585–594.CrossRef
12.
go back to reference Byun, H. S., & Lee, K. H. (2006). Determination of optimal build direction in rapid prototyping with variable slicing. International Journal of Advanced Manufacturing Technology, 28, 307–313.CrossRef Byun, H. S., & Lee, K. H. (2006). Determination of optimal build direction in rapid prototyping with variable slicing. International Journal of Advanced Manufacturing Technology, 28, 307–313.CrossRef
13.
go back to reference Byun, H. S., & Lee, K. H. (2006). Determination of the optimal build direction for different rapid prototyping processes using multi-criterion decision. Robotics and Computer-Integrated Manufacturing, 22(1), 69–80.CrossRef Byun, H. S., & Lee, K. H. (2006). Determination of the optimal build direction for different rapid prototyping processes using multi-criterion decision. Robotics and Computer-Integrated Manufacturing, 22(1), 69–80.CrossRef
14.
go back to reference Ahn, D., Kim, H., & Lee, S. (2007). Fabrication direction optimization to minimize post-machining in layered manufacturing. International Journal of Machine Tools and Manufacture, 47(3–4), 593–606.MathSciNetCrossRef Ahn, D., Kim, H., & Lee, S. (2007). Fabrication direction optimization to minimize post-machining in layered manufacturing. International Journal of Machine Tools and Manufacture, 47(3–4), 593–606.MathSciNetCrossRef
15.
go back to reference Masood, S. H., & Rattanawong, W. (2000). A generic part orientation system based on volumetric error in rapid prototyping. International Journal of Advanced Manufacturing Technology, 19(3), 209–216. Masood, S. H., & Rattanawong, W. (2000). A generic part orientation system based on volumetric error in rapid prototyping. International Journal of Advanced Manufacturing Technology, 19(3), 209–216.
16.
go back to reference Masood, S. H., Rattanawong, W., & Iovenitti, P. (2000). Part build orientations based on volumetric error in fused deposition modeling. it International Journal of Advanced Manufacturing Technology, 19, 162–168.CrossRef Masood, S. H., Rattanawong, W., & Iovenitti, P. (2000). Part build orientations based on volumetric error in fused deposition modeling. it International Journal of Advanced Manufacturing Technology, 19, 162–168.CrossRef
17.
go back to reference Yew, A. B., Kai, C. C., & Zhaohui, D. (2000). Development of an advisory system for trapped material in rapid prototyping parts. International Journal of Advanced Manufacturing Technology, 16, 733–738CrossRef Yew, A. B., Kai, C. C., & Zhaohui, D. (2000). Development of an advisory system for trapped material in rapid prototyping parts. International Journal of Advanced Manufacturing Technology, 16, 733–738CrossRef
18.
go back to reference Thompson, D. C., & Crawford, R. H. (1995). Optimizing part quality with orientation. In Proceedings of the 6th SFF symposium (pp. 362–368). Thompson, D. C., & Crawford, R. H. (1995). Optimizing part quality with orientation. In Proceedings of the 6th SFF symposium (pp. 362–368).
19.
go back to reference Deb, K. (2001). Multi-objective optimization using evolutionary algorithms. Dordrecht: Wiley.MATH Deb, K. (2001). Multi-objective optimization using evolutionary algorithms. Dordrecht: Wiley.MATH
20.
go back to reference Canellidis, V., Giannatsis, J., & Dedoussis, V. (2009). Genetic-algorithm-based multi-objective optimization of the build orientation in stereolithography. The International Journal of Advanced Manufacturing Technology, 4, 714–730.CrossRef Canellidis, V., Giannatsis, J., & Dedoussis, V. (2009). Genetic-algorithm-based multi-objective optimization of the build orientation in stereolithography. The International Journal of Advanced Manufacturing Technology, 4, 714–730.CrossRef
21.
go back to reference Majhi, J., Janardan, R., Smid, M., & Gupta, P. (1999). On some geometric optimization problems in layered manufacturing. Computational Geometry, 12(3–4), 219–239.MathSciNetMATHCrossRef Majhi, J., Janardan, R., Smid, M., & Gupta, P. (1999). On some geometric optimization problems in layered manufacturing. Computational Geometry, 12(3–4), 219–239.MathSciNetMATHCrossRef
22.
go back to reference Leitao, J. A., Everson, R., Sewell, N., & Jenkins, M. (2008). Multi-objective optimal positioning and packing for layered manufacturing. In Proceedings of the 3rd international conference on advanced research in virtual and rapid prototyping: Virtual and rapid manufacturing advanced research virtual and rapid prototyping (pp. 655–660). Leitao, J. A., Everson, R., Sewell, N., & Jenkins, M. (2008). Multi-objective optimal positioning and packing for layered manufacturing. In Proceedings of the 3rd international conference on advanced research in virtual and rapid prototyping: Virtual and rapid manufacturing advanced research virtual and rapid prototyping (pp. 655–660).
23.
go back to reference Padhye, N., & Kalia, S. (2009). Rapid prototyping using evolutionary algorithms: Part 1. In GECCO ’09: Proceedings of the 2009 GECCO conference companion on genetic and evolutionary computation (pp. 2725–2728). Padhye, N., & Kalia, S. (2009). Rapid prototyping using evolutionary algorithms: Part 1. In GECCO ’09: Proceedings of the 2009 GECCO conference companion on genetic and evolutionary computation (pp. 2725–2728).
24.
go back to reference Padhye, N., & Kalia, S. (2009). Rapid prototyping using evolutionary algorithms: Part 2. In GECCO ’09: Proceedings of the 2009 GECCO conference companion on genetic and evolutionary computation (pp. 2737–2740). Padhye, N., & Kalia, S. (2009). Rapid prototyping using evolutionary algorithms: Part 2. In GECCO ’09: Proceedings of the 2009 GECCO conference companion on genetic and evolutionary computation (pp. 2737–2740).
25.
go back to reference Pandey, P. M., Reddy, N. V., & Dhande, S. G. (2007). Part deposition orientation studies in layered manufacturing. Journal of Materials Processing Technology, 185, 125–131.CrossRef Pandey, P. M., Reddy, N. V., & Dhande, S. G. (2007). Part deposition orientation studies in layered manufacturing. Journal of Materials Processing Technology, 185, 125–131.CrossRef
26.
go back to reference Hong, J., Wang, W., & Tang, Y. (2006). Part building orientation optimization method in stereolithography. Chinese Journal of Mechanical Engineering (English ed.), 19(1), 14–18.CrossRef Hong, J., Wang, W., & Tang, Y. (2006). Part building orientation optimization method in stereolithography. Chinese Journal of Mechanical Engineering (English ed.), 19(1), 14–18.CrossRef
27.
go back to reference Zhang, L. Q., Xiang, D. H., Chen, M., & Wang, B. X. (2005). Optimum design for RP deposition orientation by genetic algorithm. Nanjing Hangkong Hangtian Daxue Xuebao/Journal of Nanjing University of Aeronautics and Astronautics, 37(Suppl.), 134–136. Zhang, L. Q., Xiang, D. H., Chen, M., & Wang, B. X. (2005). Optimum design for RP deposition orientation by genetic algorithm. Nanjing Hangkong Hangtian Daxue Xuebao/Journal of Nanjing University of Aeronautics and Astronautics, 37(Suppl.), 134–136.
28.
go back to reference Zhao, J. (2005). Determination of optimal build orientation based on satisfactory degree theory for RPT. In Proceedings—ninth international conference on computer aided design and computer graphics (pp. 225–230), CAD/CG 2005, art. no. 1604640. Zhao, J. (2005). Determination of optimal build orientation based on satisfactory degree theory for RPT. In Proceedings—ninth international conference on computer aided design and computer graphics (pp. 225–230), CAD/CG 2005, art. no. 1604640.
29.
go back to reference Zhao, J., He, L., Liu, W., & Bian, H. (2006). Optimization of part-building orientation for rapid prototyping manufacturing. Journal of Computer-Aided Design and Computer Graphics, 18(3), 456–463. Zhao, J., He, L., Liu, W., & Bian, H. (2006). Optimization of part-building orientation for rapid prototyping manufacturing. Journal of Computer-Aided Design and Computer Graphics, 18(3), 456–463.
30.
go back to reference Tata, K., Fadel, G., Bagchi, A., & Aziz, N. (1998). Efficient slicing for layered manufacturing. Rapid Prototyping Journal, 4(4), 151–167.CrossRef Tata, K., Fadel, G., Bagchi, A., & Aziz, N. (1998). Efficient slicing for layered manufacturing. Rapid Prototyping Journal, 4(4), 151–167.CrossRef
31.
go back to reference Padhye, N. (2008). Topology optimization of compliant mechanism using multi-objective particle swarm optimization. In GECCO ’08: Proceedings of the 2008 GECCO conference companion on genetic and evolutionary computation (pp. 1831–1834). Padhye, N. (2008). Topology optimization of compliant mechanism using multi-objective particle swarm optimization. In GECCO ’08: Proceedings of the 2008 GECCO conference companion on genetic and evolutionary computation (pp. 1831–1834).
32.
go back to reference Padhye, N., Juergen, J., & Mostaghim, S. (2009). Empirical comparison of MOPSO methods—guide selection and diversity preservation. In Proceedings of congress on evolutionary computation (CEC) (pp. 2516–2523). New York: IEEE. Padhye, N., Juergen, J., & Mostaghim, S. (2009). Empirical comparison of MOPSO methods—guide selection and diversity preservation. In Proceedings of congress on evolutionary computation (CEC) (pp. 2516–2523). New York: IEEE.
33.
go back to reference Padhye, N. (2009). Comparison of archiving methods in multi-objectiveparticle swarm optimization (MOPSO): Empirical study. In GECCO ’09: Proceedings of the 2009 GECCO conference companion on genetic and evolutionary computation (pp. 1755–1756). Padhye, N. (2009). Comparison of archiving methods in multi-objectiveparticle swarm optimization (MOPSO): Empirical study. In GECCO ’09: Proceedings of the 2009 GECCO conference companion on genetic and evolutionary computation (pp. 1755–1756).
34.
go back to reference Deb, K., Agarwal, S., & Meyarvian, T. (2002). A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation, 6(2), 182–197.CrossRef Deb, K., Agarwal, S., & Meyarvian, T. (2002). A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation, 6(2), 182–197.CrossRef
35.
go back to reference Knowles, J. (2005). A summary-attainment-surface plotting method for visualizing the performance of stochastic multiobjective optimizers. In: IEEE Intelligent Systems Design and Applications (ISDA V) (pp. 552–557). Knowles, J. (2005). A summary-attainment-surface plotting method for visualizing the performance of stochastic multiobjective optimizers. In: IEEE Intelligent Systems Design and Applications (ISDA V) (pp. 552–557).
36.
go back to reference Zitzler, E. (1999). Evolutionary algorithms for multiobjective optimization: Methods and applications. Aachen: Shaker. Zitzler, E. (1999). Evolutionary algorithms for multiobjective optimization: Methods and applications. Aachen: Shaker.
37.
go back to reference Wierzbicki, A. P. (1980). The use of reference objectives in multiobjective optimization. In G. Fadel & T. Gal (Eds.), Multiple criteria decision making theory and applications (pp. 468–486). Berlin: Springer. Wierzbicki, A. P. (1980). The use of reference objectives in multiobjective optimization. In G. Fadel & T. Gal (Eds.), Multiple criteria decision making theory and applications (pp. 468–486). Berlin: Springer.
38.
go back to reference Miettinen, K. (1999). Nonlinear multiobjective optimization. Boston: Kluwer.MATH Miettinen, K. (1999). Nonlinear multiobjective optimization. Boston: Kluwer.MATH
Metadata
Title
Multi-objective Optimisation and Multi-criteria Decision Making for FDM Using Evolutionary Approaches
Authors
Nikhil Padhye
Kalyanmoy Deb
Copyright Year
2011
Publisher
Springer London
DOI
https://doi.org/10.1007/978-0-85729-652-8_7

Premium Partners