Int. J. Productivity and Quality Management, Vol. 11, No. 2, 2013 131
Copyright © 2013 Inderscience Enterprises Ltd.
Multi-objective economic-statistical design of
MEWMA control chart
Amirhossein Amiri*, Hamed Mogouie and
Mohammad H. Doroudyan
Industrial Engineering Department,
Faculty of Engineering,
Shahed University,
Tehran, P.O. Box 18151/159, Iran
Fax: (+9821) 51212021
E-mail: amiri@shahed.ac.ir
E-mail: mogouie@shahed.ac.ir
E-mail: doroudyan@shahed.ac.ir
*Corresponding author
Abstract: The various advantages of MEWMA control chart such as the ability
to detect small shifts in the process with multiple quality characteristics have
motivated users to apply this chart for process monitoring. Considering the high
costs of implementing MEWMA control chart, the economic-statistical design
of this chart has been increasingly investigated. In most of the previous studies
the cost function has been considered as the objective function while the
statistical properties have been modelled as constraints in a mathematical
programming. According to the dependency of the cost function on statistical
properties in the constraints, the results of these methods are not efficient
enough. In this paper, two multi-objective approaches, an aggregative and a
non-aggregative approach are applied and optimised using a genetic algorithm.
The proposed approaches are evaluated through a numerical example from the
literature and the efficiency of the multi-objective approaches are verified in
comparison with the previous methods.
Keywords: MEWMA control chart; economic-statistical design; Lorenzen and
Vance cost function; multi-objective approach; genetic algorithm; GA.
Reference to this paper should be made as follows: Amiri, A., Mogouie, H. and
Doroudyan, M.H. (2013) ‘Multi-objective economic-statistical design of
MEWMA control chart’, Int. J. Productivity and Quality Management, Vol. 11,
No. 2, pp.131–149.
Biographical notes: Amirhossein Amiri is an Assistant Professor at Shahed
University. He holds a BS, MS, and PhD in Industrial Engineering from Khajeh
Nasir University of Technology, Iran University of Science and Technology,
and Tarbiat Modares University, respectively. He is a member of the Iranian
Statistical Association. His research interests are statistical quality control,
profile monitoring, and Six Sigma.
Hamed Mogouie is an MSc student of Industrial Engineering at Shahed
University. His research interests are of design of experiments, statistical
process control and quality management.
Mohammad H. Doroudyan is an MSc student at Shahed University. He holds
BS in Industrial Engineering from Azad University-South Tehran Branch. His
research interests are statistical quality control and design of experiments.