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Robust multi-objective economic-statistical design of nonlinear profile monitoring under parameter uncertainty and multiple assignable causes: An MOGWO-based approach
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H. Majdzangeneh   , M. J. Ershadi , M. R. Nabatchian |
| Iranian Research Institute for Information Science and Technology (IranDoc), Tehran, Iran |
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Abstract: (4 Views) |
Monitoring nonlinear quality profiles becomes difficult when profile coefficients are correlated, several assignable causes may occur, and process and cost parameters are uncertain. This study develops a robust multi-objective economic-statistical design that integrates a third-order polynomial profile, an EWMA-Hotelling T² monitoring scheme, cause-specific competing risks, scenario-based parameter uncertainty, and a simulation-based regenerative cost model. The decision variables are sample size, sampling interval, control-limit multiplier, and EWMA smoothing parameter. Monte Carlo simulation is used to estimate in-control and out-of-control run-length behavior and calendar-time detection delay, while a constrained mixed-variable multi-objective grey wolf optimizer constructs feasible Pareto alternatives. The proposed search procedure is evaluated descriptively against NSGA-II and MOPSO under a matched verification setting. The results indicate that MOGWO provides a competitive balance between Pareto-front convergence and coverage, although competing algorithms retain advantages on individual diversity measures. Policy-level and sensitivity analyses further show that detection performance and economic cost are strongly influenced by process dispersion, shift magnitude, and out-of-control losses. The proposed framework provides practitioners with a transparent set of monitoring policies for balancing cost, false-alarm protection, detection speed, and robustness under uncertain operating conditions.
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| Keywords: Economic-Statistical Design, Statistical Process Control, EWMA-Hotelling T², Multi-Objective Grey Wolf Optimizer (MOGWO), Nonlinear Profile Monitoring, Parameter Uncertainty. |
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Full-Text [PDF 1135 kb]
(8 Downloads)
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Type of Study: Research |
Subject:
General
Received: 2026/08/18 | Accepted: 2026/10/2 | Published: 2026/10/18
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