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本文通过对自动化车床 1 0 0次刀具故障的记录进行数理统计分析 ,研究了自动化车床连续加工单一零件时刀具的检测及更换模型 .首先利用概率大样本场合的 D检验方法证明了刀具的故障发生规律服从正态分布 [1] ,继而求出系统工序的寿命分布函数 [2 ] ,列出以合格零件单位期望损失为目标 ,关于检测间隔和刀具定期更换间隔为变量的多目标函数方程 ,最后利用计算机进行列举比较求解 ,从而得出取得最大经济效益的系统工序的最优检测间隔以及最优刀具更换策略 .由于刀具的故障发生服从正态分布 ,我们对模型进行了改进 ,采取有规律的不等间隔的检查方式 ,结果取得了相对于等检查间隔的更优解 .本文利用算法较好地解决了问题 ,得到了问题的优化解 .对于问题 1 ,解得换刀间隔和检查间隔分别为369和 1 8,单位合格零件损失 4 .61 5元 ,采用不等间隔的损失为 4 .4 0 5元 ;对于问题 2 ,由于情况复杂 ,解得换刀间隔和检查间隔分别为 30 6和 2 8,单位合格零件损失 9.2 68元 ,采用不等间隔的损失为 9.0 4 7元 ,从而验证了本文提出的不等间隔检查方式的更优性
In this paper, through mathematical statistics analysis of the tool failure records of the automated lathe 100 times, the tool detection and replacement model of the automatic lathe continuous processing of a single part was studied.First, using the D-test method of large sample probability to prove the tool failure occurred The law obeys the normal distribution [1], and then obtains the life distribution function of the system process [2]. It lists the multi-objective function equations with expected loss per unit of qualified parts as the target, Using computer to compare and solve, we can get the optimal detection interval and the optimal tool changing strategy of the system to get the maximum economic benefit.As the failure of the tool obeys the normal distribution, we improve the model and take a regular The results show that the optimal solution is obtained with respect to the interval of inspection, etc. In this paper, the algorithm is used to solve the problem well and the optimal solution of the problem is obtained. For the problem 1, the tool change interval and the inspection interval are respectively 369 and 18, unit loss of qualified parts 4.61 yuan 5, the use of unequal intervals of loss 4.405 yuan; for problem 2, due to the complicated situation, the clearance between the tool change and the inspection intervals were 30 6 and 28 respectively, the loss of qualified parts of units was 9.268 yuan and the loss of unequal interval was 9.0 4 7 yuan , Thus verifying the superiority of the unequal interval checking method proposed in this paper