计算机集成制造系统 ›› 2018, Vol. 24 ›› Issue (第7): 1598-1607.DOI: 10.13196/j.cims.2018.07.002

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流程模型约束下的排产问题求解算法

钱忱,闻立杰+   

  1. 清华大学软件学院
  • 出版日期:2018-07-31 发布日期:2018-07-31
  • 基金资助:
    国家重点研发计划资助项目(2016YFB1001101);国家自然科学基金资助项目(61472207,61325008,71690231);清华大学信息科学与技术国家实验室资助项目。

Solving algorithm for scheduling problem with control-flow constraints

  • Online:2018-07-31 Published:2018-07-31
  • Supported by:
    Project supported by the National Key Research and Development Plan,China(No.2016YFB1001101),the National Natural Science Foundation,China(No.61472207,61325008,71690231),and the Tsinghua TNList Lab Key Project,China.

摘要: 为了在有限资源约束下进行企业流程的执行管理,以提高产品利润,提出一种将企业生产部门的排产问题转化为线性规划数学模型的求解问题,同时提出一种降维算法对生成的数学模型进行降维,以使求解系统能够在更快时间内获得等价的生产方案。实验从时间维度对降维前后进行定量对比,降维后的方法在保证等价解的条件下大幅度降低了系统的运算时间。所提算法可以应用于企业生产管理来指导生产流程,以在相同约束条件下提高和增强生产性能。

关键词: Petri网, 控制流, 资源约束, 线性规划, 降维

Abstract: To operate management of enterprise's process under the limited resource constraints for improving product profit,a method to transform the production problem of an enterprise into a linear programming problem was proposed,and a dimension reduction algorithm was created to reduce the time consumption of generated model.Experiments quantitatively compared the performance before and after dimension reduction,which turned out that the running time of the system had been remarkably reduced.Therefore,these methods could be applied to the management of a real enterprise so that the production performance would be improved and enhanced.

Key words: Petri nets;control flow, resource constrains, linear programming, dimension reduction

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