An Extension of Banerjee and Rahim's Model for an Economic X-Bar Control Chart for Non-Normally Distributed Data Under Gamma Failure Models

摘要

This study compares an x-bar control chart economic design with a variable sampling interval (VSI) and a fixed-length sampling (FSI) for non-normal data under gamma (λ, 2) shock models. In earlier investigations, most control chart economic designs assumed the failure mechanism, which belongs to the Poisson distribution. Furthermore, these subgroup measurements were assumed to be normally distributed. However, these assumptions may not be tenable. Hence, this study employs Rahim and Banerjee (199319. Rahim , M. A. , Banerjee , P. K. ( 1993 ). A generalized model for the economic design of control charts for production systems with increasing failure rate and early replacement . Journal of Naval Research Logistics 40 : 787 - 809 . [CrossRef], [Web of Science ®]View all references) model and a numerical example to indicate the solution procedure and to implement the sensitivity analysis while comparing the results of using various sampling avenues in non-normally data.