Description
This book develops robust design and assessment of product and production from viewpoint of system theory, which is quantized with the introduction of brand new concept of preferable probability and its assessment. It aims to provide a new idea and novel way to robust design and assessment of product and production and relevant problems.
Robust design and assessment of product and production is attractive to both customer and producer since the stability and insensitivity of a product’s quality to uncontrollable factors reflect its value. Taguchi method has been used to conduct robust design and assessment of product and production for half a century, but its rationality is criticized by statisticians due to its casting of both mean value of a response and its dispersion into one index, which doesn’t characterize the issue of simultaneous optimization of above two independent sub-responses sufficiently for robust design, so an appropriate approach is needed.
The preference or role of a response in the evaluation is indicated by using preferable probability as the unique index. Thus, the rational approach for robust design and assessment of product and production is formulated by means of probabilistic multi-objective optimization, which reveals the simultaneous optimization of both mean value of a response and its dispersion in manner of joint probability.
Besides, defuzzification and fuzzification measurements are involved as preliminary approaches for robust assessment, the latter provides miraculous treatment for the 'target the best' case flexibly.
Table of Contents
Intrinsic Essence of Robust Design.- Relevant Contents of System Theory and Probability Theory.- Concise Description of Probabilistic Multi-objective Optimization from Viewpoint of System Theory.- Robust Design of a Single Objective as Dual Sub-objectives Optimization.- Robust Design and Assessment of Product and Production with Multiple Objectives.- Robust Design with Sequential Uniform Algorithm for Optimization by Means of PMOO.- Robust Design and Assessment of Product and Production with Fuzzy Number.- Concluding Remarks.
