로트 크기 결정 문제의 새로운 혼합정수계획법 모형 및 휴리스틱 알고리즘 개발

An Alternative Modeling for Lot-sizing and Scheduling Problem with a Decomposition Based Heuristic Algorithm

  • 한정희 (강원대학교 경영학과) ;
  • 이영호 (고려대학교 정보경영공학전문대학원) ;
  • 김성인 (고려대학교 정보경영공학전문대학원) ;
  • 박은경 (고려대학교 정보경영공학전문대학원)
  • Han, Junghee (College of Business Administration, Kangwon National Univeristy) ;
  • Lee, Youngho (Division of Information Management Engineering, College of Engineering, Korea University) ;
  • Kim, Seong-in (Division of Information Management Engineering, College of Engineering, Korea University) ;
  • Park, Eunkyung (Division of Information Management Engineering, College of Engineering, Korea University)
  • 발행 : 2007.09.30

초록

In this paper, we consider a new lot-sizing and scheduling problem (LSSP) that minimizes the sum of production cost, setup cost and inventory cost. Setup carry-over and overlapping as well as demand splitting are considered. Also, maximum number of setups for each time period is not limited. For this LSSP, we have formulated a mixed integer programming (MIP) model, of which the size does not increase even if we divide a time period into a number of micro time periods. Also, we have developed an efficient heuristic algorithm by combining decomposition scheme with local search procedure. Test results show that the developed heuristic algorithm finds good quality (in practice, even better) feasible solutions using far less computation time compared with the CPLEX, a competitive MIP solver.

키워드

참고문헌

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