Control Chart for Monitoring Variation Using Multiple Dependent State Sampling Under Neutrosophic Statistics

Nasrullah Khan (), Liaquat Ahmad (), Muhammad Azam (), Muhammad Aslam () and Florentin Smarandache ()
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Nasrullah Khan: College of Veterinary and Animal Sciences, Jhang, University of Veterinary and Animal Sciences
Liaquat Ahmad: University of Veterinary and Animal Sciences
Muhammad Azam: University of Veterinary and Animal Sciences
Muhammad Aslam: Faculty of Science, King Abdulaziz University
Florentin Smarandache: University of New Mexico

A chapter in Neutrosophic Operational Research, 2021, pp 55-70 from Springer

Abstract: Abstract To maintain the quality of the product at the specified standard level is critically important in current extremely competitive environment in almost all businesses. Strategic priorities for reducing the variability of the product and meeting the customer expectations are efficiently and quickly adopted for maximizing the profits. The quality of the manufacturing product is, thus, focused using all available physical, aesthetic, intellectual, and strategic resources. In this chapter, the variability in the product is monitored by developing a control chart scheme using multiple dependent state (MDS) sampling which allows us to combine the information of the current as well as the preceding sample when the scenario of the interested quality characteristic is uncertain, unclear, or vague in nature. The control chart coefficients are estimated using the neutrosophic statistical interval method. Neutrosophic average run lengths (NARLs) have been estimated for evaluating the efficiency of the proposed methodology. Excessive tables and figures have been presented for different process settings being faced by the quality control personnel. A comparison study of the proposed methodology with the classical MDS sampling chart has been conducted which shows its significant edge and a valuable addition in the toolkit of the statistical process control techniques. The practical application of the proposed methodology has also been explained using real-word example.

Keywords: Process variation; Neutrosophic statistic; Multiple dependent state sampling; Average run length; Variance chart; Sampling schemes; Fuzzy; Uncertainty; Average run length (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/978-3-030-57197-9_4

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