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Resource Parameter Inversion and Inverse Optimization Method for Production Plan Adjustment
ZHANG Lili, LOU Yuan, HU Xiangpei
2021, 30 (3):
438-450.
doi: 10.3969/j.issn.1005-2542.2021.03.003
The original production plan is a production plan that minimizes the cost to meet the needs of forecasted product types and quantities. However, the actual demand often does not match the forecast, and the original production plan needs to be dynamically adjusted. Based on this, this paper, by utilizing the inverse optimization methodology, transforms the resource reconfiguration problem for production plan adjustment into a problem of inversion of resource parameters, which is a known practical optimal production plan, and the reverse solution makes the plan the optimal solution of the original production planning model under the new parameters. Taking the changes in market demand as the driving force, with the goal of adjusting the minimum amplitude of the production time parameters of various types of products of each production line, the adjustment cost is minimized from the two dimensions of resource change quantity and change item, the production resources are reallocated, and the resource adjustment cost is minimized while meeting new market demands. The inverse optimization model is a non-convex nonlinear problem. The three-stage method of “relaxation constraint-median constraint-tight relaxation constraint” determines the production capacity constraint of the production line, which can enhance the accuracy of the optimal solution and improve the solution efficiency. In order to minimize resource adjustment, the norm is introduced to reduce the number of resource changes and further reduce the cost of production changes. The global equipment efficiency OEE is used to measure the production efficiency of the operation link, making the production resource allocation process more global and systematic. This paper introduces inverse optimization into the adjustment of production resources driven by goal factors and market changes demand, which helps to promote supply and demand matching, stabilizes production, and reduces the cost of enterprise production adjustment.
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