Multivariate Design for Mass Customization of Consumer Products

In this paper, we propose a model and a solution procedure to minimize the cost associated with mass customizing consumer products in the presence of multivariate constraints. Three algorithms based on enumeration, steepest descent and Lagrange relaxation are used to solve the non-linear optimization problem and their performance is evaluated with numerical experiments. The sufficient and necessary conditions under which the optimal solution can be achieved are presented as well.

[1]  Uma Jayaram,et al.  Introducing quantitative analysis methods into virtual environments for real-time and continuous ergonomic evaluations , 2006, Comput. Ind..

[2]  Ravindra S. Goonetilleke,et al.  A Linear Programming Model for Workstation Adequacy , 2004 .

[3]  Krishna R. Pattipati,et al.  A shelf-based Lagrangian relaxation algorithm to schedule parallelizable tasks , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[4]  William F. Moroney,et al.  Empirical Reduction in Potential User Population as the Result of Imposed Multivariate Anthropometric Limits. , 1972 .

[5]  Richard J. Bagby,et al.  CALCULATING NORMAL PROBABILITIES , 1995 .

[6]  Jan Dul,et al.  Combining economic and social goals in the design of production systems by using ergonomics standards , 2004, Comput. Ind. Eng..

[7]  Jianxin Jiao,et al.  Design for mass customization by developing product family architecture , 1998 .

[8]  Claire C. Gordon,et al.  A Supplement to the 1995 Matched Anthropometric Database of U.S. Marine Corps Personnel: Summary Statistics , 1996 .

[9]  Y. L. Tong,et al.  Multivariate normal distribution , 1990 .

[10]  Monique Guignard-Spielberg,et al.  Lagrangean decomposition: A model yielding stronger lagrangean bounds , 1987, Math. Program..

[11]  A. Polansky Bandwidth selection for the smoothed bootstrap percentile method , 2001 .

[12]  B. Kahn Variety: From the Consumer’s Perspective , 1998 .

[13]  Christine M. Haslegrave,et al.  Bodyspace: Anthropometry, Ergonomics And The Design Of Work , 1986 .

[14]  Donald E. Kirk,et al.  Optimal Control Theory , 1970 .

[15]  Jean-Loup Farges,et al.  Optimization of traffic dynamic route guidance with drivers' reactions in a queue-based model , 1995, IEEE Trans. Syst. Man Cybern..

[16]  K. Lancaster Markets and Product Variety Management , 1998 .

[17]  Chih-Hsing Chu,et al.  An online ergonomic evaluator for 3D product design , 2005, Comput. Ind..

[18]  Xuehong Du,et al.  Architecture of product family for mass customization , 2000, Proceedings of the 2000 IEEE International Conference on Management of Innovation and Technology. ICMIT 2000. 'Management in the 21st Century' (Cat. No.00EX457).

[19]  S. H. Choi,et al.  Modelling and optimisation of Rapid Prototyping , 2002, Comput. Ind..

[20]  Richard J. Bagby Calculating normal probabilities , 1995 .

[21]  Shih-Wen Hsiao,et al.  An anthropometric measurement for developing an electric scooter , 2005 .

[22]  K. Jörnsten,et al.  A new Lagrangian relaxation approach to the generalized assignment problem , 1986 .

[23]  J G Kreifeldt,et al.  The use of computer-generated bivariate charts in anthropometric design. , 1996, Applied ergonomics.

[24]  Mei Zhang,et al.  A Product and Process Modeling Based Approach to Study Cost Implications of Product Variety in Mass Customization , 2007, IEEE Transactions on Engineering Management.

[25]  Wei Yu,et al.  A mathematical method for ergonomic-based design: placement , 2004 .

[26]  W. Michael Cox,et al.  The right stuff: America's move to mass customization , 1998 .

[27]  Stephen R. Ellis,et al.  A mathematical model for spatial orientation from pictorial perspective displays , 1988, IEEE Trans. Syst. Man Cybern..

[28]  Donald M. Anderson,et al.  Agile product development for mass customization , 1997 .

[29]  Mark S. Young,et al.  Kodak's Ergonomic Design for People at Work , 2009 .

[30]  G. Anderson,et al.  Simple method for developing percentile growth curves for height and weight. , 2001, American journal of physical anthropology.

[31]  Eric Mjolsness,et al.  A Lagrangian relaxation network for graph matching , 1994, Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94).

[32]  Stephen M. S. Lee,et al.  Optimal Bootstrap Sample Size in Construction of Percentile Confidence Bounds , 2001 .