产出不确定订单式生产投产批量建模与优化

发布时间：2018-09-03 10:39

【摘要】：在订单式生产中,由于产出产品不合格率的不确定性,欠产再投产和超产积压经常发生。因此提出以投产期望成本(包括生产成本,超产期望成本和欠产期望成本)为决策目标,以投产批量为决策变量的投产模型。在此基础上,分别建立了产品不合格率连续随机分布和离散随机分布投产模型。通过对模型的分析:得到了产品不合格率连续随机分布模型最优投产批量存在的条件,证明了产品不合格率离散随机分布模型存在着最优投产批量和构建了"步长——比较"算法求解。最后,通过一个算例验证了模型的有效性。
[Abstract]:In order-type production, due to uncertainty of unqualified rate of output products, overproduction and overproduction backlogs often occur. Therefore, this paper puts forward a production model which takes the expected cost of production (including production cost, expected cost of overproduction and expected cost of underproduction) as the decision objective and takes the batch of production as the decision variable. On this basis, the production models of continuous random distribution and discrete random distribution of product nonconformity rate are established respectively. Based on the analysis of the model, the conditions for the existence of optimal batch size of the continuous random distribution model of product nonconformity rate are obtained. It is proved that the discrete random distribution model of product nonconformity rate has the optimal production batch and the "step size-comparison" algorithm is constructed to solve the problem. Finally, an example is given to verify the validity of the model.
【作者单位】：广东开放大学/广东理工职业学院管理工程系;广东工业大学管理学院;
【基金】：国家自然科学基金项目(71271060,70971026) 广东省高等职业教育教学改革项目(GDJG2015084) 广东省高职教育管理教指委教改项目(YGL201513) 广东省高等职业技术教育研究会项目(GDGZ15Y070) 广东理工职业学院教改项目(21331611)
【分类号】：F273

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