Hypersphere Mapper: A Nonlinear Programming Approach to the Hypercube Embedding Problem

1993 ◽  
Vol 19 (3) ◽  
pp. 262-270 ◽  
Author(s):  
J.K. Antonio ◽  
R.C. Metzger
Author(s):  
Yu-Cheng Lin ◽  
Toly Chen

Owing to the cost constraint, it is difficult to incorporate all critical features into a single product design. To deal with this issue, analytic hierarchy process is a well-known method that compares the relative priorities of critical features. This study aims to illustrate that the judgment of a designer can be used to generate multiple diversified product designs. To this end, this study proposed a multibelief analytic hierarchy process and nonlinear programming approach. In the proposed methodology, a decision maker’s judgment matrix is decomposed into several single-belief judgment matrices that are more consistent than the original judgment matrix and represent diversified points of view regarding the relative priorities of factors. To this end, a nonlinear programming model is established and optimized. The proposed methodology was applied to a smart backpack design problem. It was concluded that a designer’s judgment was often inconsistent, which was ignored in the conventional analytic hierarchy process method but could be employed to diversify product designs.


LWT ◽  
2016 ◽  
Vol 73 ◽  
pp. 412-418 ◽  
Author(s):  
Abhinav Mishra ◽  
Robert L. Buchanan ◽  
Donald W. Schaffner ◽  
Abani K. Pradhan

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