运筹与管理 ›› 2019, Vol. 28 ›› Issue (12): 7-13.DOI: 10.12005/orms.2019.0267

• 理论分析与方法探讨 • 上一篇    下一篇

基于NSGA-II的应急生产任务多目标优化模型及算法研究

巩玲君1,2, 张纪海1   

  1. 1. 北京理工大学 管理与经济学院,北京 100081;
    2. 海南大学 管理学院,海南 海口 570228
  • 收稿日期:2017-09-12 出版日期:2019-12-25
  • 通讯作者: 张纪海(1976-),男,黑龙江大庆市人,教授,博导,博士。主要研究方向应急管理、国民经济动员等。
  • 作者简介:巩玲君(1989-),女,山东临沂人,博士。研究方向应急管理,国民经济动员
  • 基金资助:
    国家自然科学基金面上项目(71473015)

Multi-objective Emergency Production Assignment Model Based on NSGA-II

GONG Ling-jun1,2, ZHANG Ji-hai1   

  1. 1. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;
    2. Management School, Hainan University, Haikou 570228, China
  • Received:2017-09-12 Online:2019-12-25

摘要: 重大突发事件发生后,若灾区的应急物资需求不能通过调用储备得到满足,则应急生产将成为灾区应急物资供应的重要保障手段。本文研究重大突发事件发生后应急物资生产任务的优化问题,重点关注原材料生产能力变化对完成应急生产任务的影响,以应急生产任务完成时间最短、完成成本最低为决策目标,研究了包含多个供应商、多个制造商以及单个受灾点的应急物资生产任务多目标规划模型。运用在求解多目标规划问题时具有众多优势的非支配排序多目标遗传算法(NSGA-II)对模型进行求解。通过算例分析,NSGA-II可以得到较好的Pareto前沿,并且可以根据不同情况给出最优的应急物资生产和原材料保障方案。本文的研究还表明,要想更快完成应急生产任务,需要做好原材料、资金、电力、交通等各种要素的配套保障工作。

关键词: 应急生产, 应急调度, 多目标规划, NSGA-II算法

Abstract: After a large-scale emergency incident, emergency production plays an important role in ensuring emergency material’s demand, if the storage does not satisfy emergency material demand. In this paper, we address the multi-objective emergency production assignment problem for the post large-scale emergency incident. Moreover, the paper pays attention to the influence of changing in raw material supply for emergency materials production capacity. A multi-objective programming model for emergency material production assignment is proposed to minimize the total time and cost of emergency production assignment, which contains multiple raw material suppliers of emergency material, multiple emergency material manufacturers and one affected area. The NSGA-II(Non-dominated Sorting Genetic Algorithm II), which has many advantages in solving multi-objective programming problem, is introduced to the solution of the model. With the aid of analysis of an example, the algorithm can gain better Pareto front, and provide optimal emergency material production and raw material support plan, which can help the decision making for decision makers. This paper illustrates that it is necessary to do well in supporting the various elements such as raw materials, funds, electricity, and transportation, for completing the emergency production tasks faster.

Key words: emergency production, emergency transportation, multi-objective programming, NSGA-II

中图分类号: