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[en] EWMA CHART WITH ADAPTIVE SMOOTHING CONSTANT FOR STATISTICAL PROCESS CONTROL / [pt] GRÁFICO EWMA COM CONSTANTE DE AMORTECIMENTO ADAPTATIVA PARA CONTROLE ESTATÍSTICO DE PROCESSOSBRUNO FRANCISCO TEIXEIRA SIMOES 25 April 2006 (has links)
[pt] Este trabalho propõe um gráfico de controle EWMA para
observações
individuais ou médias amostrais, com a constante de
amortecimento variando
entre dois valores de acordo com o valor mais recente da
estatística EWMA, para
obter detecção mais rápida de alterações pequenas a
moderadas na média do
processo, e sem a complexidade operacional apresentada por
outros esquemas
adaptativos, pois o tamanho da amostra e o intervalo de
amostragem são mantidos
fixos. Já existe um outro trabalho propondo a variação da
constante de
amortecimento dos gráficos EWMA, mas com base em outro
critério: Capizzi e
Masarotto (2003). O esquema EWMA adaptativo foi combinado
com limites de
Shewhart para os valores individuais (ou médias
amostrais), para acelerar a
detecção de grandes deslocamentos da média do processo,
também sem aumento
da complexidade operacional. Os NMA1´s - números esperados
de amostras até
um sinal verdadeiro - foram calculados por um método de
aproximação numérica
usando um modelo matemático por cadeias de Markov, e
comparados com os do
esquema EWMA tradicional (com parâmetros fixos) e com os
do esquema
adaptativo de Capizzi e Masarotto (2003). O esquema
proposto tende a fornecer
NMA1´s menores para alterações na média acima de 1,0
desvio-padrão, e o
esquema de Capizzi e Masarotto (2003) tende a fornecer
NMA1´s menores para
pequenas alterações. Ambos os esquemas possuem melhor
desempenho que o
gráfico EWMA com parâmetros fixos. Uma vantagem que pode
se tornar decisiva
para a adoção do esquema proposto é a simplicidade dos
cálculos requeridos para
o monitoramento. / [en] This work proposes an EWMA process control chart for
individual
observations or subgroup averages, in which the smoothing
constant varies
between two values according to the most recent value of
the EWMA statistic, in
order to achieve faster detection of small to moderate
shifts in the process mean,
and without the operational complexities presented by
other adaptive schemes,
since its sample size and sampling interval do not vary.
There is one other work
proposing the adaptive variation of the smoothing constant
of EWMA charts, but
based on a different criterion: Capizzi and Masarotto
(2003). The adaptive
EWMA scheme was combined with Shewhart limits for the
individual values (or
subgroup averages), to enhance its sensitivity to large
shifts, again with no extra
operational burden. The out-of-control average run lengths
(ARL1´s) were
calculated through a numerical approximation method based
on a Markov chain
model. The ARL1´s were compared of the proposed scheme, of
the traditional
(fixed parameter) EWMA chart and of Capizzi and
Masarottos´s adaptive EWMA
scheme. The proposed scheme generally provides the
shortest ARL1´s for shifts in
the mean above one standard deviation, and Capizzi and
Masarotto´s scheme
tends to outperform it for smaller shifts. Both schemes
perform better than the
fixed parameter EWMA. An advantage that can become
decisive for the adoption
of the proposed scheme is the simplicity of the
calculations required for the
monitoring.
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Correlations Between The Spectroscopic Parameters And The Thermodynamic Quantities For Systems Exhibiting Phase TransitionsKaracali, Huseyin 01 January 2006 (has links) (PDF)
We correlate in the first part of this study the specific heat and thermal expansivity to the temperature-and pressure-dependent frequency shifts, respectively, in ammonia solid I, solid II, hexagonal ice and ice close to their melting points. This is carried out for some fixed pressures for the two translational and one librational modes in ammonia solid I. By obtaining linear plots of specific heat and thermal expansivity against temperature-and pressure-dependent frequency shifts, the values of slope were deduced and compared with experimental values.
The correlation between the thermal expansivity and frequency shifts was constructed in the ammonia solid II by calculating the Raman frequencies of the translational and the librational modes for some fixed pressures. Calculated values of slope were compared with experimental values.
Temperature and pressure dependent frequency shifts of the translational modes in hexagonal and ice are correlated to the specific heat and the thermal expansivity, respectively.
When the mode Grü / neisen parameter depends on temperature and pressure, correlations among the specific heat, thermal expansivity and, temperature-and pressure-dependent frequency shifts, respectively, are reexamined in hexagonal ice. When the mode Grü / neisen parameter depends on temperature, correlation between the specific heat and the frequency shifts is reexamined using translational modes in NH4Cl.
In the second part of this study, we predict the damping constant for ammonium halides (NH4Cl and NH4Br) for zero pressure, and for the tricritical and second order phase transitions for a lattice mode of NH4Cl. Also, the observed Raman intensities of this mode are analyzed at those two pressures.
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