Development of the program for searching the optimum condition using design of experiments

Abstract

The Design of Experiments (DOE) is a method that is widely used due to its effectiveness to select optimum conditions in the design stage of product development. On the other hand, a fast, low cost, labor saving and energy-saving innovative development is also required in industry. In this research, a program for quickly searching the optimum condition using design of experiments is developed and evaluated. Relationships between each parameter and the final property are firstly cleared for each formula by using the design of experiments. Then the optimum conditions for each parameter were decided by using these formulas in a program. The optimum final property with each optimum level value were calculated. In addition, the optimum condition for cooling system using alkaline water mist was investigated for evaluating this program in an experiment. It is concluded from the result that (1) the program using the design of experiments was useful for fast development process, (2) this program could quickly and accurately decide the optimum cooling condition for cooling system using alkaline water mist.

An Approach to Identify the Interactions Between the Control Factors in a Mahalanobis -Taguchi System

“…Here, the causality of the MTDABC (final properties) of the three control factors A (their levels Ax), B (their levels By) and C (their levels Cz), is expressed in MTS by equation (1).…”

“…By increasing the number of these levels, the accuracy of the causal relationship increases, however it requires a long working time and a large cost. The relationship between the influence E (EAx, EBy, ECz) of each control factor and the each level (Ax, By and Cz) of each control factor was then displayed as three curves (f(Ax), g(By), h(Cz)) by curve fitting [1], [23].…”

“…In this section it is explained that the interaction of the control factors within MTS can be explored using the optimal conditions identification program [1]. The MTD can be calculated using either equation (1) or equation ( 2) in Section 2.1 by MTS.…”

“…In this section it is explained that the interaction of the control factors within MTS can be explored using the optimal conditions identification program [1]. The MTD can be calculated using either equation (1) or equation ( 2) in Section 2.1 by MTS. Equation ( 1) is the case where there is an interaction between the control factors and equation ( 2) is the case where there is no interaction between the control factors.…”

“…Therefore, in this study, a method for determining the interaction in MTS is proposed and evaluated as follows; the optimal conditions identification program [1] is used to determine the presence or absence of interactions in the MTS, find the control factors involved in the existing interactions and determine the degree of interactions. Then, the proposed method are evaluated by using a mathematical model.…”