自动化车床管理1
需积分: 0 114 浏览量
2022-08-03
22:32:15
上传
评论
收藏 455KB PDF 举报
第 30 卷第 1 期
2000 年 1 月
数学的实践与认识
MA THEMA T ICS IN PRACT ICE AND THEORY
Vo l130 No11
Jan. 2000
Abstract
:
In the article
,
the op tim um tactics of the regular check to wo rking p rocedures and the
replacem ent of cutting tools in the course of continious component p rocessing by autom atic lathes
has been disscussed
.
Fo r question one
,
the op tim um model of average m anagem ent co st used fo r regular check and
adjustm ent of component has been m ade out by app lying the theo ry of m anagem ent co st and
m ethod of p robability statistics
,
the best designed interval of check and cutting tools
′
replacem ent
in the wo rking p rocedure has been obtained
.
Fo r question two
,
based on question one
,
the objective functions has been established
,
and the
op tim um tactics of the best designed interval of check and thd rep lacem ent of cutting too ls has
been obtained considering the average lo ss brought about by unqualified
.
p roducts at the interval
of check and the average lo ss of m achine stop fo r being m isregarded as existing breakdow n
.
The autom atic checking and adjusting system the breakdow n of working p rocedures has been
designed by using autom atic devices
,
and the algo rithm flow chart has been given too Thus the
lo ss ofm achine stop fo r being m isregarded as existing breakdow n would be avo ided
,
and the ben2
efit of wo rking p rocedure would be increased
.
自 动 化 车 床 管 理
石 敏, 林超友, 方 斌
指导教师: 数模组
(
海军工程大学, 武汉 430033
)
编者按: 该文思路正确, 考虑较全面, 对问题一给出了正确的模型和结果, 并对检查方式、灵敏度分析、误
差分析进行了详细讨论. 本文另一特色是进行了计算机模拟, 这对许多类似的问题都行之有效. 本文缺点是
对问题二的模型有欠缺.
摘要:
本文对自动化车床管理问题进行了讨论, 将检查间隔和刀具更换策略的确定归结为单个零件期望
损失最小的一个优化问题, 并提供了有效算法. 对问题一, 得到检查间隔
Σ
0
= 18, 定期换刀间隔
Σ
1
= 342, 相应
的单个零件期望损失费用
C
= 4175 元的最优解, 并用蒙特卡罗法对结果进行了模拟检验. 对问题二, 得到检
查间隔
Σ
0
= 11, 定期换刀间隔
Σ
1
= 242, 单个零件期望损失费用
C
= 7122 元. 对问题三, 我们采用新的改进方
案使单个零件期望损失费用降为 5134 元. 本文还对变检查间隔、参数灵敏性、误差分析等进行了讨论.
1 问题的重述
(
略
)
2 问题的分析
由于刀具损坏等原因会使工序出现故障, 工序出现故障是完全随机的. 工作人员通过检
查零件来确定工序是否出现故障, 并且计划在刀具加工一定件数的零件后定期更新刀具.
因此, 给定检查间隔, 对零件作检查, 当发现零件不合格时则认为工序发生了故障并立
即进行停机检查, 若实际存在故障则进行修理, 无故障则继续生产; 当检查发现零件合格则
不干涉设备的工作. 当到了定期更换刀具时刻, 即使设备未出现故障, 也进行刀具更新.
更多数学建模资料请关注微店店铺“数学建模学习交流”
https://k.weidian.com/RHO6PSpA
评论0