Yamada, Kano proposed the method for determining the optimum operating condition of process variables to satisfy given quality requirements in process industries such as chemical, metallurgical, iron industry and so forth. Under the condition that the quality characteristics satisfy the requirements, the method provides a desirable level of an objective function, defined as a linear combination of process variables. Whether the optimum operating condition is derived or not depends on the estimates of parameters which specifies the relation between quality characteristics and process variables. Since the optimum operating conditions is derived or not is stochastic event, this paper obtains the probability that the method can derive the optimum operating condition. The probability is obtained by the approximation of the region of operating condition which satisfies the quality requirements and the Kuhn-Tucker condition. And the approximation of the region is applied the calculation of the optimum operating condition.
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