Intelligent soft package for modeling the planning process of multi‑assortment industrial production

IF 0.4 Q4 MATHEMATICS, APPLIED Journal of Applied Mathematics & Informatics Pub Date : 2022-10-21 DOI:10.37791/2687-0649-2022-17-5-41-50
T. Chistyakova, O.E. Shashikhina
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Abstract

The article discusses issues related to the development of a flexible intelligent software package for solving the problem of optimal planning of multi-assortment production. These industries are characterized by a large range of products, many types and configurations of equipment, with an increase in the dimension of the problem, the number of options for production schedules grows exponentially, therefore, it is extremely important to develop a specialized complex for effective optimal planning and scheduling, insisting on the characteristics of various multi-assortment industries. The purpose of this work is to increase the productivity of multi-assortment enterprises and reduce the time of production of products by developing methods and algorithms for optimizing scheduling in the form of a problem-oriented software package. The article presents a mathematical formulation of the optimization problem and a set of mathematical models and algorithms for the formation of objective functions for optimal scheduling of reconfigurable productions. Conducting this study is based on the use of methods of scheduling theory, optimization and evolutionary calculations, tools for object-oriented development of complex software systems and databases. The proposed software package has various intelligent user interfaces, supplemented by databases of products, equipment and technological regulations, a library of objective functions and mathematical optimization methods, an expert system tuning module, as well as an interactive system for visualizing the resulting production plans in the form of a Gantt chart and decision tree of the optimization problem. Testing of the software package was carried out on the data of polymer and metallurgical enterprises in Russia and Germany and confirmed the effectiveness of solving planning problems. Implementation of the proposed software package makes it possible to ensure efficient loading of enterprise equipment, reduce production costs and simplify the process of making managerial decisions in the course of production planning.
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用于多品种工业生产规划过程建模的智能软包装
本文讨论了解决多品种生产优化规划问题的柔性智能软件包的开发问题。这些行业的特点是产品范围大,设备类型和配置多,随着问题维度的增加,生产调度的选择数量呈指数级增长,因此,坚持各种多品种行业的特点,开发一个有效的最优规划和调度的专业综合体是极其重要的。本工作的目的是以问题导向的软件包形式,通过开发优化调度的方法和算法,提高多品种企业的生产效率,缩短产品的生产时间。本文给出了可重构产品优化问题的数学表述,并给出了可重构产品优化调度目标函数的数学模型和算法。本研究基于调度理论、优化和进化计算、复杂软件系统和数据库面向对象开发工具的使用方法。该软件包具有多种智能用户界面,辅以产品、设备和工艺法规数据库,目标函数库和数学优化方法库,专家系统调优模块,以及以甘特图和优化问题决策树的形式将生成的生产计划可视化的交互系统。软件包在俄罗斯和德国的聚合物和冶金企业数据上进行了测试,证实了解决规划问题的有效性。所提出的软件包的实施,可以保证企业设备的高效装载,降低生产成本,简化生产计划过程中的管理决策过程。
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