Mathematical modelling of a robust inspection process plan: Taguchi and Monte Carlo methods

International Journal of Production Research

Volumn 53, Issue 7, 2015, Pages 2202-2224

  Mohammadi, Mehrdad ^a,b   Siadat, Ali ^a   Dantan, Jean Yves ^a   Tavakkoli Moghaddam, Reza ^b  

^a ARTS ET MÉTIERS PARISTECH   (France)

^b UNIVERSITY OF TEHRAN   (Iran)

Author keywords

mathematical programming; Monte Carlo simulation; process inspection planning; robust design; Taguchi loss function

Indexed keywords

FUNCTIONS; GENETIC ALGORITHMS; INSPECTION; INTEGER PROGRAMMING; MATHEMATICAL PROGRAMMING; PRODUCT DESIGN; STOCHASTIC SYSTEMS; TAGUCHI METHODS;

MANUFACTURING VARIATION; MULTIPLE QUALITY CHARACTERISTICS; NEAR-OPTIMAL SOLUTIONS; NUMERICAL EXPERIMENTS; PROCESS INSPECTION; QUALITY CHARACTERISTIC; ROBUST DESIGNS; TAGUCHI LOSS FUNCTIONS;

MONTE CARLO METHODS;

EID: 84922832204     PISSN: 00207543     EISSN: 1366588X     Source Type: Journal    
DOI: 10.1080/00207543.2014.980460     Document Type: Article

References (52)

1. Alam, M. R., K. S. Lee, M. Rahman, and, Y. F. Zhang. 2003. " Process Planning Optimization for the Manufacture of Injection Molds Using a Genetic Algorithm." International Journal of Computer Integrated Manufacturing 16 (3): 181-191. 10.1080/0951192021000025742
2. Arvidsson, M., and, I. Gremyr. 2008. " Principles of Robust Design Methodology." Quality and Reliability Engineering International 24 (1): 23-35. 10.1002/(ISSN)1099-1638
3. Back, T., F. Hoffmeister, and, H.-P. Schwefel. 1991. " A Survey of Evolution Strategies." In Genetic Algorithms. Proceedings of the Fourth International Conference, edited by R. K. Belew and L. B. Booker., 2-9. San Mateo: Morgan Kaufmann.
4. Bai, D. S., and, H. J. Yun. 1996. " Optimal Allocation of Inspection Effort in a Serial Multi-Stage Production System." Computer and Industrial Engineering 30 (3): 387-396. 10.1016/0360-8352(96)00008-3
5. Barad, M. 1990. " A Break-Even quality Level Approach to Location of Inspection Station in a Multi-stage Production Process." International Journal of Production Research 28 (1): 29-45. 10.1080/00207549008942682
6. Basili, V., and, B. Boehm. 2001. " Software Defect Reduction Top 10 List." Computer 34 (1): 135-137.
7. Beiqing, H., and, X. Du. 2006. " A Robust Design Method Using Variable Transformation and Gauss-Hermite Integration." International Journal for Numerical Methods in Engineering 66 (12): 1841-1858.
8. Beyer, H. G., M. Olhofer, and, B. Sendhoff. 2002. " On the Behavior of ( / i, )-es Optimizing Functions Disturbed by Generalized Noises." In Foundations of Genetic Algorithms.
9. Briand, L. C., O. Laitenberger, and, I. Wieczorek. 1997. Building Resource and Quality Management Models for Software Inspections. Technical Report. International Software Engineering Research Network ISERN-97-06.
10. Chakravarty, A. K., and, A. Shtub. 1987. " Strategic Allocation of Inspection Effort in a Serial, Multi-Product Production System." IIE Transactions 19 (1): 13-22. 10.1080/07408178708975364
11. Chryssolouris, G. 2005. Manufacturing Systems: Theory and Practice. 2nd ed. 606 p. New York: Springer-Verlag.
12. Das, I. 2000. " Robustness Optimization for Constrained Nonlinear Programming Problems." Engineering Optimization 32 (5): 585-618. 10.1080/03052150008941314
13. Desimoni, E., and, B. Brunetti. 2011. " Uncertainty of Measurement and Conformity Assessment: A Review." Analytical and Bioanalytical Chemistry 400: 1729-1741. 10.1007/s00216-011-4776-y
14. Ferreira, R. J. P., A. T. Almeida, and, C. Cavalcante. 2009. " A Multi-criteria Decision Model to Determine Inspection Intervals of Condition Monitoring Based on Delay Time Analysis." Reliability Engineering and System Safety 94: 905-912. 10.1016/j.ress.2008.10.001
15. Goldberg, D. E. 1989. Genetic Algorithms in Search, Optimization, and Machine Learning. Reading, MA: Addison-Wesley.
16. Gyung-Jin, P., and, K. H. Lee. 2002. " Robust Optimization in Discrete Design Space for Constrained Problems." AIAA Journal 40 (4): 774-780.
17. Hanne, T., and, S. Nickel. 2005. " A Multiobjective Evolutionary Algorithm for Scheduling and Inspection Planning in Software Development Projects." European Journal of Operational Research 167: 663-678. 10.1016/j.ejor.2004.07.014
18. Hans-Georg, B., and, Bernhard Sendho. 2007. " Robust Optimization-A Comprehensive Survey." Computer Methods in Applied Mechanics and Engineering 196 (33-34): 3190-3218.
19. Hurst, E. 1973. " Imperfect Inspection in a in a Multi-Workstation Production Process." Management Science 20: 378-384. 10.1287/mnsc.20.3.378
20. Hinrichs, W. 2011. " Product-Specific Adaption of Conformity Assessment Criteria and Their Financial Consequences." Journal of Production Engineering Research and Development 5: 549-556. 10.1007/s11740-011-0329-7
21. Ho, C. 1989. " Evaluating the Impact of Operating Environments on MRP System Nervousness." International Journal of Production Research 27: 1115-1135. 10.1080/00207548908942611
22. Holland, J. H. 1975. Adaption in Natural and Artificial Systems. Ann Arbor: University of Michigan Press.
23. Galbraith, J. 1973. Designing Complex Organizations. Reading, MA: Addison Wesley.
24. Gyung-Jin, P., T. H. Lee, K. H. Lee, and, K. H. Hwang. 2006. " Robust Design: An Overview." AIAA Journal 44 (1): 181-191.
25. Jin, Y., and, B. Sendhoff. 2003. " Trade-off between Performance and Robustness: An Evolutionary Multiobjective Approach." Lecture Note in Computer Science 2632: 237-251. 10.1007/3-540-36970-8
26. Kallgren, H., M. Lauwaars, B. Magnusson, L. Pendrill, and, Ph Taylor. 2003. " Role of Measurement Uncertainty in Conformity Assessment in Legal Metrology and Trade." Accreditation and Quality Assurance 8: 541-547. 10.1007/s00769-003-0707-8
27. Kane, V. E. 1986. " Process Capability Indices." Journal of Quality Technology 18 (1): 41-52.
28. Kunzmann, H., T. Pfeifer, R. Schmitt, H. Schwenke, and, A. Weckenmann. 2005. " Productive Metrology-Adding Value to Manufacture." CIRP Annals-Manufacturing Technology 54 (2): 155-168. 10.1016/S0007-8506(07)60024-9
29. Lee, H., and, S. S. Kim. 2001. " Integration of Process Planning and Scheduling Using Simulation-based Genetic Algorithms." International Journal of Advanced Manufacturing Technology 18: 586-590. 10.1007/s001700170035
30. Lee, J., and, S. Unnikrishnan. 1998. " Planning Quality Inspection Operations in Multistage Manufacturing Systems with Inspection Errors." International Journal of Production Research 36 (1): 141-155. 10.1080/002075498193976
31. Lindsay, G. F., and, A. B. Bishop. 1964. " Allocation of Screening Inspection Effort-Dynamic Programming Approach." Management Science 10 (2): 343-352.
32. Michael, W. T. 2013. " Taguchi and Robust Optimization." 1-10.
33. Mirdamadi, S., A. Etienne, A. Hassan, J. Y. Dantan, and, A. Siadat. 2011. " Cost Estimation Method for Variation Management." 12th CIRP Conference on Computer Aided Tolerancing.
34. Munch, J., T. Berlage, T. Hanne, H. Neu, S. Nickel, S. von Stockum, and, A. Wirsen. 2002. Simulation-Based Evaluation and Improvement of SW Development Processes. SEV Progress Report No. 1.
35. Neu, H., T. Hanne, J. Munch, S. Nickel, and, A. Wirsen. 2002. " Simulation-Based Risk Reduction for Planning Inspections." In Product Focused Software Process Improvement, Lecture Notes in Computer Science, edited by M. Oivo and S. Komi-Sirvio., Vol. 2559, 78-93. Berlin: Springer. 10.1007/3-540-36209-6
36. Neu, H., T. Hanne, J. Munch, S. Nickel, and, A. Wirsen. 2003. " Creating a Code Inspection Model for Simulation-based Decision Support." Paper presented at ProSim -03, Portland State University, May 3-4.
37. Peters, M. H., and, W. W. Williams. 1984. " Location of Quality Inspection Stations: An Experimental Assessment of Five Normative Heuristics." Decision Science 15 (3): 389-408. 10.1111/deci.1984.15.issue-3
38. Pfeiffer, T. 2002. Production Metrology. Oldenbourg. ISBN 3486258850.
39. Savio, E. 2012. " A Methodology for the Quantification of Value-adding by Manufacturing Metrology." CIRP Annals-Manufacturing Technology 61: 503-506. 10.1016/j.cirp.2012.03.019
40. Shiau, Y. R. 2002. " Inspection Resource Assignment in a Multistage Manufacturing System with Inspection Error Model." International Journal of Production Research 40 (8): 1787-1806. 10.1080/00207540110119982
41. Shiau, Y. R. 2003a. " Inspection Allocation Planning for a Multiple Quality Characteristic Advanced Manufacturing System." International Journal of Advanced Manufacturing Technology 21: 494-500. 10.1007/s001700300058
42. Shiau, Y. R. 2003b. " Quick Decision-making Support for Inspection Allocation Planning with Rapidly Changing Customer Requirements." International Journal of Advanced Manufacturing Technology 22 (9-10): 633-640. 10.1007/s00170-002-1521-x
43. Shiau, Y. R., M. H. Lin, and, W. C. Chuang. 2007. " Concurrent Process/Inspection Planning for a Customized Manufacturing System Based on Genetic Algorithm." International Journal of Advanced Manufacturing Technology 33: 746-755. 10.1007/s00170-006-0486-6
44. Shukla, N., M. K. Tiwari, and, D. Ceglarek. 2013. " Genetic-Algorithms-based Algorithm Portfolio for Inventory Routing Problem with Stochastic Demand." International Journal of Production Research 51 (1): 118-137. 10.1080/00207543.2011.653010
45. Taha, H. A. 2006. Operations Research: An Introduction. Englewood Cliffs, NJ: Prentice-Hall.
46. Torben, H., M. Arvidsson, and, I. Gremyr. 2009. " A Review of Practices for Robust Design Methodology." Journal of Engineering Design 20 (6): 645-657.
47. Viswanadham, N., S. M. Sharma, and, M. Taneja. 1996. " Inspection Allocation in Manufacturing Systems Using Stochastic Search Technique." IEEE Transactions on Systems, Man, and Cybernetics-Part a: Systems and Humans 26 (2): 222-230. 10.1109/3468.485748
48. Wei, C., J. K. Allen, K. L. Tsui, and, F. Mistree. 2007. " A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors." Journal of Mechanical Design 1-8.
49. White, L. S. 1966. " The Analysis of a Simple Class of Multistage Inspection Plans." Management Science 12 (7): 685-693. 10.1287/mnsc.12.9.685
50. Xiaoping, D., and, W. Chen. 2000. " Methodology for Managing the Effect of Uncertainty in Simulation-based Design." AIAA Journal 38 (8): 1471-1478.
51. Yum, B. J., and, E. D. McDowell. 1987. " Optimal Inspection Policies in a Serial Production System including Scrap Rework and Repair: An MILP Approach." International Journal of Production Research 25 (8): 1451-1464. 10.1080/00207548708919925
52. Zhao, F., X. Xu, and, S. Q. Xie. 2009. " Computer-aided Inspection Planning-the State of the Art." Computers in Industry 60: 453-466. 10.1016/j.compind.2009.02.002