多工厂环境下考虑个体利益的多目标协同生产计划模型及算法

针对由多个工厂组成的分布式系统,考虑不同工厂的个体利益诉求,构建了多目标协同生产计划模型。在该模型中,以最大化整体收益作为第一个优化目标;同时,基于亚当斯的公平理论,利用偏离系数法,以最小化个体收益平衡偏差作为第二个优化目标。结合模型结构特点,基于快速非支配排序遗传算法,设计了相应的求解过程。最后,通过一个算例验证表明,本文设计的计划模型和求解方法,不仅可以从网络集成角度协调各个工厂的生产、库存和运输活动,而且能够实现整体利益和个体利益非一致性的最小化。

Multi-Objective Planning Model and Algorithm for Coordinative Production Considering Individual Interests in the Multi-factory Environment

For the distributed system consisting of multiple factories,the multi-objective planning model for coor-dinative production is established considering the individual interests of different factories.In this model,the maximization of overall profit is designed as the first optimization objective.Meanwhile,based on the Adams’s fairness theory,adopting the deviation coefficient method,the minimization of individual profit balance deviation is designed as the second optimization objective.According to the characteristics of model structure,the corre-sponding solving process is designed based on Fast Elitist Non-dominated Sorting Genetic Algorithm(NSGA-II).Finally,the multi-objective multi-factory coordinative production planning model and solution method designed in this paper are applied to a multi-factory coordinative production system of automobile engines.The numerical example shows that the multi-objective planning model and the solution method designed in this paper can not only coordinate the production,inventory and transportation activities of each factory from the perspective of net-work integration,but also achieve the minimization of the non-uniformity between overall interests and individual ones,effectively protecting the individual interests of each factory and the overall benefits of the system.