Razieh Seirani, Mohsen Torabian, Mohammad Hassan Behzadi and Asghar Seif
The purpose of this paper is to present an economic–statistical design (ESD) for the Bayesian
Abstract
Purpose
The purpose of this paper is to present an economic–statistical design (ESD) for the Bayesian
Design/methodology/approach
The design used in this study is based on determining the control chart of the predictive distribution and then its ESD. The new proposed cost model is presented by considering the conjugate and Jeffrey's prior distribution in calculating the expected total cycle time and expected cost per cycle, and finally, the optimal design parameters and related costs are compared with the fixed ratio sampling (FRS) mode.
Findings
Numerical results show decreases in costs in this Bayesian approach with both Jeffrey's and conjugate prior distribution compared to the FRS mode. This result shows that the Bayesian approach which is based on predictive density works better than the classical approach. Also, for the Bayesian approach, however, there is no significant difference between the results of using Jeffrey's and conjugate prior distributions. Using sensitivity analysis, the effect of cost parameters and shock model parameters and deviation from the mean on the optimal values of design parameters and related costs have been investigated and discussed.
Practical implications
This research adds to the body of knowledge related to quality control of process monitoring systems. This paper may be of particular interest to quality system practitioners for whom the effect of the prior distribution of parameters on the quality characteristic distribution is important.
Originality/value
economic statistical design (ESD) of Bayesian control charts based on predictive distribution is presented for the first time.
Details
Keywords
Salimeh Sadat Aghili, Mohsen Torabian, Mohammad Hassan Behzadi and Asghar Seif
The purpose of this paper is to develop a double-objective economic statistical design (ESD) of (
Abstract
Purpose
The purpose of this paper is to develop a double-objective economic statistical design (ESD) of (
Design/methodology/approach
The design used in this study is based on a double-objective economic statistical design of (
Findings
Numerical results indicate that it is not possible to reduce the second type of error and costs at the same time, which means that by reducing the second type of error, the cost increases, and by reducing the cost, the second type of error increases, both of which are very important. Obtained based on the needs of the industry and which one has more priority has the right to choose. These designs define a Pareto optimal front of solutions that increase the flexibility and adaptability of the
Practical implications
This research adds to the body of knowledge related to flexibility in process quality control. This article may be of interest to quality systems experts in factories where the choice between cost reduction and statistical factor reduction can affect the production process.
Originality/value
The cost functions for double-objective uniform and non-uniform sampling schemes with the Weibull shock model based on the Linex loss function are presented for the first time.