英语翻译5.3.Vandermonde interpolation techniqueTo use the Vandermonde interpolation technique,it isnecessaryto prepare thedata inwhichthe input inthis caseis the number of complaints or quality,and the output isthe cost.There are three di?erent t

英语翻译5.3.Vandermonde interpolation techniqueTo use the Vandermonde interpolation technique,it isnecessaryto prepare thedata inwhichthe input inthis caseis the number of complaints or quality,and the output isthe cost.There are three di?erent t
英语翻译
5.3.Vandermonde interpolation technique
To use the Vandermonde interpolation technique,it is
necessaryto prepare thedata inwhichthe input inthis case
is the number of complaints or quality,and the output is
the cost.There are three di?erent types of costs:prevention
and appraisal cost (P),failure cost (F) and total cost which
is a summation of P and F.Values of P and F are then
inputted into the Vandermonde matrix as given by Eq.
(2).From that,Eq.(3) which shows the relationship
between the output y and input x is established by the exis-
tence of the coe?cients c’s.As explained earlier,the exis-
tence of the coe?cients c’s does not always occur,for
some set of data,these coe?cients may not exist and there-
fore the technique is not applicable.One possible solution
to this problem is to reduce the polynomial order which
may yield a finite number of coe?cients for Eq.(3).Thus,
care must be taken in carefully choosing the right order for
the interpolation polynomial.
For the data set in this paper,simulation results show
that for polynomial orders of less than 7,non-zero coe?-
cients are obtained.It should also be noted that changing
the polynomial order does not ect the analyses and out-
comes of the data,i.e.,the company’s performance is still
correctly assessed.By using the data set given in Table 1,
the prevention and appraisal cost,failure cost and total
cost can be mathematically modelled and are given in
Fig.4.
Generally,the total cost curve possesses two break-even
points:one at the quality of about 0.7 and the other at
about 0.85.It is clear that the second break-even point is
better than the first one due to its higher quality and lower
total cost as seen in Fig.4.Unlike the prevention and
appraisal cost curve,the total cost curve is aperiodic and
appears to be random.Further,the results obtained by
using the Vandermonde interpolation technique are consis-
tent to what reported in theory [28].One concern is the
high peak occurring in the failure cost curve at the quality
of about 0.75 which can be caused by the start of a new
strategy in the company.The prevention and appraisal
cost curve is relatively constant with small oscillation rip-
ples,which means the curve is periodic and we can ec-
tively model the total cost based on the failure cost.Due
to the periodicity in the prevention and appraisal cost of
this company,it can be suggested that the company
employs strategies of periodically feeding its prevention
and appraisal cost program to prevent failures,which is
a common practice in the industry.The above findings
thus validate the results obtained by the new method.

英语翻译5.3.Vandermonde interpolation techniqueTo use the Vandermonde interpolation technique,it isnecessaryto prepare thedata inwhichthe input inthis caseis the number of complaints or quality,and the output isthe cost.There are three di?erent t
5.3 .范德蒙插值技术
使用范德蒙插补技术,这是
必要的准备thedata inwhichthe投入,对本案件
是的投诉数字,或质量,产量
成本.有三个直接投资?erent类型的成本：预防
和评价成本性（ P ） ,失败的成本（ f ）和总成本
是一个概括的P和F值的P和F ,然后
输入到Vandermonde矩阵作为所给予的情商.
（ 2 ） .从认为,情商.（ 3 ）这表明关系
之间的输出Y和输入x是成立由exis -
tence的欧洲?cients C的.exis -
tence的欧洲?cients C的并不总是发生,
一些数据集,这些居权证?cients可能不存在,并有-
国内外的技术是不适用.一个可能的解决办法
这个问题是要减少多项式秩序
可能会产生一个有限的数目居权证?cients为情商.（ 3 ） .因而,
护理,必须采取审慎选择的权利,以便
该插值多项式.
为数据集在本文中,仿真结果表明,
对于多项式的订单少于7 ,非零居权证?-
cients得到.还应该指出,改变
多项式秩序并不一?等的分析和失控
来的数据,即该公司的表现仍然是
正确评估.通过使用数据集给出了表1 ,
预防和评价成本,失败的成本和总
成本可以在数学上为蓝本,并给出了在
图.4 .
一般来说,总成本曲线拥有两个破发,甚至
点：一是在质量约0.7和其他在
约0.85 .很明显,第二个盈亏平衡点是
优于一是由于其较高的质量,并降低
总成本看,在图.4 .不同的预防和
鉴定成本曲线,总成本曲线是非周期性和
似乎是随机的.此外,所取得的成果
使用范德蒙插值技术是一致的-
帐篷什么报道,在理论[ 28 ] .一个值得关注的是
高峰发生在失败的成本曲线在质量
约0.75 ,可造成开始了一个新的
策略,在该公司.
成本曲线是相对恒定的小振荡食价
ples ,这意味着曲线是定期的和我们可以用电子邮件?欧共体-
tively模型总成本的基础上,失败的成本.预期的
向周期在预防和鉴定的费用
这家公司,可以建议该公司
采用的策略,定期喂食及其防治
和评价成本计划,以防止失败,这是
一种普遍的做法在该行业.上述调查结果
因此,验证所取得的成果的新方法.