Title
Konstrukcija i osobine kontrolnih kartica za stacionarne i nekorelisane podatke
Creator
Elfaghihe, Halima
Copyright date
2016
Object Links
Select license
Bez licence - direktna primena zakona
License description
Ako ne izaberete neku od licenci, vaše zaštićeno delo može biti korišćeno samo u okviru opštih ograničenja autorskih prava. Na taj način ne dozvoljavate komercijalno ni nekomercijalno korišćenje, naročito reprodukciju, distribuciju, emitovanje, dostupnost i obradu dela. Izbor Creative Commons (CC) licence promoviše diseminaciju vašeg dela. Za više informacija: http://creativecommons.org.rs/licence
Language
English
Cobiss-ID
Committee report
Theses Type
Doktorska disertacija
description
Datum odbrane: 30.05.2016.
Other responsibilities
mentor
Janković, Slobodanka
član komisije
Mladenović, Pavle
član komisije
Jevremović, Vesna
Academic Expertise
Prirodno-matematičke nauke
University
Univerzitet u Beogradu
Faculty
Matematički fakultet
Alternative title
Design and performances of control chartsfor stationary and uncorrelated data
Publisher
[Halima Elfaghihe]
Format
88 listova
description
Matematika / Mathematics
Abstract (en)
Tema ove doktorske disertacije pripada oblasti kontrole kvaliteta, koja predstavlja praktično korišćenje statistike prilikom praćenja i poboljšavanja proizvodnog procesa. 1930. godine Volter Šuhart je počeo da proučava kontrolu kvaliteta, baziranu na kontrolnim karticama, koristeći statističke principe. Kasnije, posle Drugog svetskog rata, Edvard Deming odneo je ovu disciplinu u Japan, gde je ona doživela procvat. Konstrukcija i osobine kontrolnih karti su najvažnija pitanja u ovoj oblasti. Cilj izučavanja osobina kontrolnih karti u ovoj tezi je da se uporede postojeće i predložene kontrolne karte.
Abstract (en)
The subject of this thesis belongs the area of quality control, which represents the
practical usage of statistics in following and improving the production process. In
1930 Walter Shewhart started studying quality control, based on control charts, and
using statistical principles. Later on, after World War II, Edward Deming took this
discipline to Japan, where it
ourished. The design and the performance of control
charts are the most important problems in this area. The purpose of studying the
characteristics of control charts in this thesis is to compare the existing and the
suggested control charts.
The thesis is divided into four chapters. The rst chapter is introductory and contains
motivation and basic denitions related to this subject. In this study it is
always assumed that the data are normally distributed, and that the in-control process
data are stationary and uncorrelated.
Shewhart control charts and the corresponding limits are constructed in order to
meet the given specications for the quality characteristic that we investigate. Quality
control that is applied to a production process always has costs related to the
control. The important parameters connected to the cost of quality control are:
width of control limits k, the sample size n and the interval between the samples h.
In Chapter 2 a new loss function is given, which is connected to the production process
and to X−bar quality control chart. Using Matlab program for optimization,
values of ^k; ^n and ^h are found, which minimize the loss function for given costs. For
given values of cost, a non-linear regression model is built using a package Sigma plot
and the obtained values are compared to those obtained by numerical optimization.
In Chapter 3, the time series model Yi = Xi + (1 − )Yi−1 is investigated, where
0 < B 1 is a constant, Xi are N(; 2) distributed. Exponentially Weighted Moving
Average (EWMA) control charts for this model are presented, and type I and
type II errors are calculated in the case when i is large. For dierent sample sizes,
the new comparison between the optimal design of the X-bar and EWMA control
charts for Normally distributed quality characteristic is given, comparing the corresponding
cost-loss functions, power functions and average run lengths.The process of calibration is one of the methods in statistical process control, introduced
for improving the quality of the products and for reducing the production
costs. In Chapter 4, two new models of non-symmetrical loss function are introduced.
Here, the loss function is connected to one product under control (not to
the whole sample). Using our program, written in statistical software R, the value
which minimizes the expected loss for Shewhart X
control chart is found. This
value is used as the new central target value of the quality characteristic, that is,
the production process is calibrated with this new value.
The thesis ends with Conclusions, where the results of the thesis are summarized,
and with some open problems to be investigated.
Type
Tekst
Abstract (en)
Tema ove doktorske disertacije pripada oblasti kontrole kvaliteta, koja predstavlja praktično korišćenje statistike prilikom praćenja i poboljšavanja proizvodnog procesa. 1930. godine Volter Šuhart je počeo da proučava kontrolu kvaliteta, baziranu na kontrolnim karticama, koristeći statističke principe. Kasnije, posle Drugog svetskog rata, Edvard Deming odneo je ovu disciplinu u Japan, gde je ona doživela procvat. Konstrukcija i osobine kontrolnih karti su najvažnija pitanja u ovoj oblasti. Cilj izučavanja osobina kontrolnih karti u ovoj tezi je da se uporede postojeće i predložene kontrolne karte.
“Data exchange” service offers individual users metadata transfer in several different formats. Citation formats are offered for transfers in texts as for the transfer into internet pages. Citation formats include permanent links that guarantee access to cited sources. For use are commonly structured metadata schemes : Dublin Core xml and ETUB-MS xml, local adaptation of international ETD-MS scheme intended for use in academic documents.