关键词: 多损失鲁棒优化, 凸概率密度分布簇, 直营连锁企业, 单周期, 生产分配供应

Abstract: Firstly, the equivalent model theorem of single period expectation mean and single loss robust optimization for convex probability density distribution cluster is proved. And the equivalent model of multi loss robust optimization under the single period expected mean of convex probability density distribution cluster is also proved. Secondly, the single cycle production allocation supply problem of the expected mean value of the products of the direct chain enterprises under the convex probability density distribution cluster is proposed. A robust model of the expected mean value of single cycle production allocation supply for direct chain enterprises is established. In the case of obtaining approximate periodic probability distribution cluster, a robust model of single period production distribution supply is given, which is equivalent to a linear programming problem. Finally, a numerical experiment is carried out with a known mixed distribution cluster composed of four cycles of a product. The numerical results show that the production allocation and supply strategy of the robust model of production allocation and supply under the expected mean criterion is more robust.

Key words: multi loss robust optimization, convex probability density distribution cluster, direct chain enterprise, single cycle, production distribution and supply