A Study on Multiple Product Dynamic Lot-sizing

다종제품 동적로트사이징에 관한 연구

  • Kang, Yong-Ha (Department of Industrial Systems Engineering, North Carolina State University)
  • 강용하 (노스캐롤라이나 주립대학교 산업시스템공학과)
  • Received : 2012.02.29
  • Accepted : 2012.07.12
  • Published : 2012.07.31


This study presents a column generation approach for multiple product dynamic lot-sizing problem. The basic idea of this approach is to have a master problem which allocates limited capacity among n different products and a sub-problem that performs the optimal lot sizing for each product subject to capacity allocation given by the master problem. In the sub-problem, we develop M/G/1 queuing model based clearing function which captures nonlinear relationship between the lot size, the work in process level and the throughput. A large number of test problems are randomly generated to evaluate the performance. Computational results show that the proposed model can find better solutions within reasonable CPU times.


Lot-sizing;Column Generation;Nonlinear Programming;Congestion


Supported by : 한국연구재단


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