Economic Design of Quick Switching Sampling System for Resubmitted Lots under Gamma-Poisson Distribution. Issue 1 (14th January 2022)

• Record Type: Journal Article
• Authors: Usha, M.; Balamurali, S.
• Is Part Of: American journal of mathematical and management sciences. Volume 41:Issue 1(2022)
• Page Start: 24
• Page End: 37
• Publication Date: 2022-01-14
• Subjects: Economic design -- Gamma-Poisson distribution -- quick switching sampling system -- resubmitted lots -- total cost; Operations research -- Periodicals; Management science -- Periodicals; Periodicals; 658.4034
• DOI: 10.1080/01966324.2021.1903369
• Languages: English
• ISSNs: 0196-6324

Abstract

Abstract: In this paper, a method of designing quick switching sampling system for resubmitted lots for inspection of attribute quality characteristics based on the gamma-Poisson distribution is proposed. We determine the required parameters by using two-points on the operating characteristic curve approach such that both producer's and the consumer's risks are satisfied for some specified values of acceptable quality level and limiting quality level. Tables are constructed for optimal sample size and two acceptance numbers of the proposed sampling system. The relative efficiency of the proposed system over conventional plans is also discussed. In addition, an economic design of the above mentioned sampling system to minimize total cost is also investigated. Consequently, it is proved that the proposed system minimizes the total inspection cost and average total inspection.