Production Planning with Old-Material Priority Allocation
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Solution Overview
Problem
Current production planning methods fail to prioritize the use of old materials, leading to suboptimal utilization and increased production costs.
Innovation Solution
A product production planning method that divides materials into types based on their replaceability by old materials, using a linear programming model to allocate old materials first in a first-stage production plan and new materials in a second-stage plan.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of substance
If production planning is performed without prioritizing old materials, then production process simplicity is maintained, but old material utilization rate decreases and production costs increase
Solution Approach 1:
The production planning method segments materials into old materials and new materials, and further divides the production plan into a first-stage production plan (prioritizing old materials) and a second-stage production plan (using new materials). This segmentation enables preferential allocation of old materials while maintaining manageable planning complexity through structured stages.
Solution Approach 2:
The method performs preliminary classification of materials into old and new categories before production planning. By pre-identifying old materials and establishing their priority status in advance, the system ensures old material utilization is addressed first in the production plan, resolving the contradiction between utilization rate improvement and planning complexity.
2Loss of energy
If old materials are prioritized in production planning, then production costs are reduced, but production plan complexity increases
Solution Approach 1:
The production plan is segmented into two distinct stages: the first-stage production plan focuses on maximizing old material usage for specific products, while the second-stage production plan addresses remaining production needs using new materials. This segmentation reduces overall planning complexity by breaking down the optimization problem into manageable, sequential decisions that lower production costs without overwhelming computational burden.
3Measurement precision
If materials are classified into multiple types based on replaceability, then material allocation precision is improved, but system complexity increases
Solution Approach 1:
Materials are segmented into distinct types (old materials and new materials) based on their replaceability characteristics. This classification enables precise material allocation by matching specific material types to appropriate production stages, improving allocation precision while keeping the classification system simple and manageable through clear categorical distinctions.
Data Source
AI summary
A product production planning method includes: determining material types of materials, the material types including a first type of old materials and a first type of new materials; determining a production plan of products to be produced based on the old materials of the first type and the new materials of the first type included in the materials, according to a linear programming model and the material types; wherein the linear programming model includes a constraint condition and an objective function; the production plan includes a first-stage production plan and a second-stage production plan, the first-stage production plan is a production plan for producing products to be produced according to the old materials of the first type, and the second-stage production plan is a production plan for producing products to be produced according to the new materials of the first type.