Research on Decision-making Problems in the Production Process of Enterprises
School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China
| Abstract: | In modern manufacturing’s end-to-end production system, it is essential not only to take into account the production status of components and the final completion level of products, but also to incorporate the crucial factor of product qualification rate into the scope of consideration for enterprise production. According to consumer demand, the market requires that both the price and quality of finished goods be tested. This necessitates a comprehensive evaluation of whether to carry out various operations on finished products by analyzing cost factors across multiple dimensions - including inspection costs, disassembly costs, and replacement costs. The present study primarily utilizes well‑designed algorithms and fully applies statistical methods such as hypothesis testing, confidence intervals, and rejection regions to derive optimal solutions. These approaches enable the determination of how to inspect components and how to conduct qualification‑rate testing on finished products, thereby helping firms achieve maximum profit. Furthermore, the research takes specific practical conditions into account and proposes targeted, actionable decision schemes. By following these schemes, enterprises can more effectively plan and execute their production and operational activities, enhancing overall efficiency and competitiveness. In summary, integrating component-level inspection strategies with finished‑product qualification assessments within a cost‑benefit analytical framework provides a systematic pathway for manufacturers to align product quality assurance with economic objectives under real‑world constraints. This methodology supports data‑driven decision making and facilitates sustainable growth in increasingly demanding markets. |
| Keywords: | Hypothesis Testing; Normal Distribution; Rejection Region; Confidence Interval |
| DOI: | 10.57237/j.wjms.2026.01.001 |
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Received: 28 December 2024
Accepted: 26 December 2025
Published Online: 14 January 2026
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