| 自动化车床最优刀具检测模型研究 |
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| 引用本文： | 贾积身,刘思峰,党耀国.自动化车床最优刀具检测模型研究[J].数学的实践与认识,2007,37(8):32-35. |
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| 作者姓名： | 贾积身 刘思峰 党耀国 |
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| 作者单位： | 1. 南京航空航天大学,经济与管理学院,江苏,南京,210016;河南机电高等专科学校,科研处,河南,新乡,453002
2. 南京航空航天大学,经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 国家自然科学基金;河南省自然科学基金;河南省教育厅基础研究项目 |
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| 摘 要： | 针对自动化车床工序最优检测和刀具更换问题进行了探讨.将定期检测和将刀具更换作用于同一工序流程,在只考虑刀具故障条件下,通过概率论和更新过程理论建立了以单位时间内期望费用为目标函数的数学模型,以检测间隔和刀具更换间隔为策略,确定最优的策略使得目标函数达到最小,并求出了经长期运行单位时间内期望费用的明显表达式.最后还对结果进行了讨论.
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| 关 键 词： | 刀具 工序 期望费用 检测间隔 更换策略 |
| 修稿时间： | 2004年11月1日 |
Study on the Optimal Checking Model for the Cutting Tool of Automatic Lathe |
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| JIA Ji-shen,LIU Si-feng,DANG Yao-guo.Study on the Optimal Checking Model for the Cutting Tool of Automatic Lathe[J].Mathematics in Practice and Theory,2007,37(8):32-35. |
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| Authors: | JIA Ji-shen LIU Si-feng DANG Yao-guo |
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| Abstract: | The optimal checking to working procedure and the replacement of cutting tools are studied in this paper,regular checking and the replacement are considered in same working procedure.Assume that working procedure is only cutting tool′s breakdown,by using the method of probability and the theory of renew process,mathematic model that expected cost per unit time is objective function has been established,we take the interval of check and replacement of cutting tools as policy,the problem is to determine the optimal policies such that the objective function is minimized,the explicit expressions of the long-run expected cost per unit time is derived in this paper.Finally,we discuss the result also. |
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| Keywords: | cutting tool working procedure expected cost interval of check replacement policy |
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