Economic Selection of Optimum Process Mean for a Mixture Production Process

Lee, Min-Koo

Journal of Korean Society for Quality Management > Volume 33(4); 2005 > Article

Journal of Korean Society for Quality Management 2005;33(4): 111-.

혼합물 생산공정의 최적 공정평균의 경제적 선정

이민구

충남대학교 정보통계학과

Economic Selection of Optimum Process Mean for a Mixture Production Process

Min-Koo Lee

Department of Information and Statistics, Chungnam National University

ABSTRACT

This paper considers the problem of optimally choosing the sub-process means of a mixture production process where two important ingredients are mixed. The quantity of each ingredient is controlled through each corresponding sub-process. The values of the sub-process mean directly affect the defective rate, production, scrap and reprocessing costs for the mixture production process. After inspecting every incoming item, each conforming item is sold in a regular market for a fixed price and any nonconforming item is scraped. A model is constructed on the basis of the selling price, production, inspection, and scrap and reprocessing costs. The goal is to determine the optimum sub-process mean values based on maximizing expected profit function relating selling price and cost components. A method of finding the optimum sub-process means is presented when the quantities of the two ingredients are assumed to be normally distributed with known variances. A numerical example is given and numerical studies are performed.

Key Words: Mixture Production Process;Optimum Process Mean;Sub-process Means;