An Integer Programming Model and Heuristic Algorithm to Minimize Setups in Product Mix

원료의 선택 및 혼합비율의 변경 횟수를 최소화하기 위한 정수계획법 모형 및 근사해 발견 기법(응용 부문)

  • Han, Jung-Hee (College of Business Administration, Kangwon National University) ;
  • Lee, Young-Ho (Department of Industrial Systems and Information Engineering, Korea University) ;
  • Kim, Seong-In (Department of Industrial Systems and Information Engineering, Korea University) ;
  • Shim, Bo-Kyung (Department of Industrial Systems and Information Engineering, Korea University)
  • 한정희 (강원대학교 경영학과) ;
  • 이영호 (고려대학교 산업시스템정보공학과) ;
  • 김성인 (고려대학교 산업시스템정보공학과) ;
  • 심보경 (고려대학교 산업시스템정보공학과)
  • Published : 2006.11.17

Abstract

Minimizing the total number of setup changes of a machine increases the throughput and improves the stability of a production process, and as a result enhances the product quality. In this context, we consider a new product-mix problem that minimizes the total number of setup changes while producing the required quantities of a product over a given planning horizon. For this problem, we develop a mixed integer programming model. Also, we develop an efficient heuristic algorithm to find a feasible solution of good quality within reasonable time bounds. Computational results show that the developed heuristic algorithm finds a feasible solution as good as the optimal solution in most test problems. Also, we developed a web based scheduling and monitoring system for a zinc alloy production process using the developed heuristic algorithm. By using this system, we could find a monthly zinc alloy production schedule that significantly reduces the total number of setup changes.

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