数学理论与应用 ›› 2017, Vol. 37 ›› Issue (2): 88-96.

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基于遗传算法和非线性规划的设备预防维修周期优化模型

黄健   

  1. 上海理工大学管理学院,上海,200093
  • 出版日期:2017-06-30 发布日期:2020-09-23

Solving the Optimization Model of Equipment Preventive Maintenance Period with the Genetic Algorithm and Nonlinear Programming

Huang Jian   

  1. School of Business,University of Shanghai for Science and Technology,Shanghai 20093,China
  • Online:2017-06-30 Published:2020-09-23

摘要: 本文通过建立预防性维修前后故障率的关系,给出了带约束的非线性设备预防性维修策略模型.该模型通过综合考虑故障维修成本、预防性维修成本、以及生产损失成本,在有限的生产运行时间内使得系统总成本最小化.模型利用遗传算法的全局搜索能力和非线性规划的局部搜索能力进行求解.计算结果表明,遗传算法结合非线性规划可以以较快的收敛速度达到全局最优.

关键词: 预防性维修, 可靠度, 故障率, 遗传算法, 非线性规划

Abstract: By establishing the relationship between the failure rates before and after preventive maintenances, this paper gives a nonlinear constrained model of equipment preventive maintenance strategy.The model aims to minimize the total cost of the system in a finite production time interval by synthetically considering the repair cost,preventive maintenance cost and production loss cost.It is solved by making use of the global search ability of genetic algorithm and the local search ability of nonlinear programming.A numerical example shows that the combination of the genetic algorithm and the nonlinear programming gives faster convergence to the global optimal.

Key words: Preventive maintenance, Reliability, Failure rate, Genetic algorithm, Nonlinear programming