| 考虑设备劣化及返工的质量批量模型研究 |
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| 引用本文： | 方叶祥,王洪冬,钱庆,樊树海.考虑设备劣化及返工的质量批量模型研究[J].工业工程,2020,23(3):59-64,74. |
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| 作者姓名： | 方叶祥 王洪冬 钱庆 樊树海 |
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| 作者单位： | 南京工业大学 经济与管理学院，江苏 南京 211816 |
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| 基金项目： | 国家自然科学基金资助项目(71671089)；江苏省社会科学基金资助项目(15GLB020)；江苏省高校社会科学重点基金资助项目(2017ZDIXM075) |
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| 摘 要： | 为了得到最大质量批量,研究了返工成本边际效应下的期望利润值计算方法,将生产过程分为两个阶段:无需返工和需要返工的连续加工。给出了质量控制策略下批量计算公式以及考虑边际成本下的最大利润所对应的质量批量。采用蒙特卡洛仿真和Design Expert 8.0.6软件拟合,通过数字实验,对比了返工成本与未考虑返工成本情况下的期望利润值。研究显示,考虑返工成本边际效应下的质量批量大于一般的经济批量,所得到期望利润也最大。
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| 关 键 词： | 生产批量 返工 响应曲面法 期望利润 |
| 收稿时间： | 2019-05-23 |
A Study of the Quality Batch Model Considering Equipment Degradation and Rework |
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| FANG Yexiang,WANG Hongdong,QIAN Qing,FAN Shuhai.A Study of the Quality Batch Model Considering Equipment Degradation and Rework[J].Industrial Engineering Journal,2020,23(3):59-64,74. |
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| Authors: | FANG Yexiang WANG Hongdong QIAN Qing FAN Shuhai |
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| Affiliation: | School of Economics and Management, Nanjing Tech University, Nanjing 211816, China |
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| Abstract: | In order to get the maximum quality batch, the calculation method of expected profit value is studied under the marginal effect of rework cost. The production process is divided into two stages in which one is continuous processing without rework and the other is continuous processing requiring rework. The batch calculation formula under the quality control strategy and the quality batch corresponding to the maximum profit under the marginal cost are given. Monte Carlo simulation and Design Expert 8.0.6 software are used to work out the result. The expected profit value of rework cost is compared with that of no rework cost. Through the digital experiment, the research shows that the quality lot size considering the marginal effect of rework cost is larger than the general economic lot size, and the expected profit at maturity is also the largest. |
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| Keywords: | production batch rework response surface method expected profit |
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