4
Proc. of the Fifth International Conference on Advances in Civil, Structural and Environmental Engineering - ACSEE 2017.
Copyright © Institute of Research Engineers and Doctors. All rights reserved.
ISBN: 978-1-63248-122-1 doi: 10.15224/ 978-1-63248-122-1-08
Application of Multivariate EWMA for performance
monitoring of RMC
Keval Dabasia
1
and Debasis Sarkar
2
Abstract— Statistical process control is applied in order to
monitor and control a process. Statistical process control
procedures can be widely applied to understand and improve the
production process of construction materials. In performance
monitoring of Ready Mix Concrete plant, there are always more
than one quality characteristics which affect the performance of
concrete and are usually correlated. In this paper, Multivariate
exponentially weighted moving average control chart (MEWMA) is
applied to monitor the performance of concrete in Ready Mix
Concrete plant. The different parameters considered are strength
and density at different age of concrete. One difficulty found with
multivariate control charts is the interpretation of out-of-control
points. The univariate control charts are used to obtain a rough
estimate of the sources of Multivariate out-of-control points.
EWMA and MEWMA methods are compared for performance
monitoring of concrete. The result shows that MEWMA charts are
more relevant than EWMA charts.
Keywords— Statistical Process Control, Multivariate EWMA,
Univariate EWMA, Ready mix Concrete
I. Introduction
Ready-mixed concrete (RMC) was patented in Germany in
1903, but it was only after the development of the modern
truck mixer in the 1950s that the supply of RMC became
commercially viable [1].
There is tremendous growth in the use of ready mixed
concrete (RMC) for construction in the developing countries.
The RMC industry is not regulated or monitored properly, as a
result it has contributed to a general disregard for the basics of
good quality of RMC [2]. To rectify the situation and to
improve the performance of RMC producers, systematic
monitoring and inspection is required.
Keval Dabasia
1
Pandit Deendayal Petroleum University
India
Dr. Debasis Sarkar
2
Head of Department
Civil Engineering Department
Pandit Deendayal Petroleum University
India
The SPC tools are very useful in identifying the defects in
the process and developing the solutions for eliminating them
to improve the quality of the products. The standardization of
the system will definitely improve the quality of the products
manufactured as in this case it is concrete.
Statistical process control consists of a number of powerful
tools for problem solving and improvement of quality control
by reducing variability in manufacturing processes. At present,
quality control charts for monitoring a continuous quality
characteristic is done using Shewhart, Cumulative Sums
(CUSUM), exponentially weighted moving average (EWMA),
etc. In some cases it may also be necessary to control
simultaneously two or more related quality characteristics,
which can be done with the multivariate SPC using
multivariate charts such as Hotelling’s T
2
control charts,
multivariate EWMA (MEWMA), etc. [3]
Most of the models developed were dealing primarily with
only one quality parameter or characteristic which is mainly
strength of the grade of concrete monitored. But higher degree
of quality monitoring can be carried out if multiple quality
characteristics can be monitored simultaneously. Thereby,
Sarkar and Bhattacharjee (2014) made an attempt to develop a
multivariate CUSUM methodology (MVCUSUM) where the
other parameters like slump, density and temperature of fresh
concrete which affects the quality of RMC can be monitored.
Later Sarkar and Panchal (2017) did an attempt to explore the
potentiality of application of Quality Function Development
and particularly House of Quality which primarily focuses on
customer satisfaction, for performance monitoring of RMC.
To improve efficiency in the processes with small changes,
univariate EWMA and multivariate EWMA (MEWMA)
control charts were developed. Their advantage is that they
take into account the present and the past information of the
process. Therefore they are more powerful to detect small
changes than Hotelling’s T
2
control charts [4].
These control charts be used as daily or weekly monitoring
tool, which can improve the efficiency of the production
process [5]. Thus this paper is an attempt to explore the
MEWMA control chart as a tool for the process monitoring of
more than one variable which can affect the quality of the
RMC.
II. Monitoring Multivariate
Processes using Control Chart
The multivariate charts can be separated into two
categories, i.e., the directionally invariant schemes and the
direction specific schemes. Typically, most symmetric two-
sided univariate control charts are directionally invariant,
whereas multiple univariate schemes used for a multivariate