The Modified Carlsson's Model for Setting the Optimum Process Mean

In 1984, Carlsson addressed the method for setting the optimum process mean when the net income takes production cost and different selling prices into account. He adopted the piecewise linear profit function to measure the net income for a product quality characteristic is normally distributed. However, the non-normal quality characteristic of product maybe occur in the industrial application. In this paper, the author proposes the modified Carlsson's models with beta and Weibull quality characteristics for determining the optimum process mean. A numerical example and sensitivity analysis of parameters will be provided for illustration.