A new distribution‐free adaptive sample size control chart for a finite production horizon and its application in monitoring fill volume of soft drink beverage bottles
| Autor: | Sajal Saha, Philippe Castagliola, Michael B. C. Khoo, Mahfuza Khatun |
|---|---|
| Přispěvatelé: | American International University-Bangladesh (AIUB), Universiti Sains Malaysia (USM), International University of Business Agriculture and Technology (IUBAT), Systèmes Logistiques et de Production (SLP ), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2020 |
| Předmět: |
021103 operations research
Markov chain Short run 0211 other engineering and technologies Nonparametric statistics Process (computing) 02 engineering and technology truncated average run length Management Science and Operations Research 01 natural sciences General Business Management and Accounting Standard deviation finite production horizon variable sample size [STAT]Statistics [stat] 010104 statistics & probability Chart Sample size determination Modeling and Simulation Control chart nonparametric 0101 mathematics Algorithm Mathematics |
| Zdroj: | Applied Stochastic Models in Business and Industry Applied Stochastic Models in Business and Industry, Wiley, 2021, 37 (1), pp.84-97. ⟨10.1002/asmb.2545⟩ |
| ISSN: | 1526-4025 1524-1904 |
| Popis: | International audience; Nonparametric control charts have received increasing attention in process monitoring. In this paper, a new nonparametric sign (SN) control chart with variable sample size (VSS) for a finite horizon process is developed. The novelty of this research lies in the incorporation of the VSS technique into the nonparametric SN chart for a finite horizon process, hence, resulting in the development of a more sensitive nonparametric short run chart. The statistical performance of the new nonparametric VSS SN control chart is evaluated and compared with the existing fixed sample size (FSS) SN chart for a finite horizon process. The charts' performances are compared using the truncated average run length (TARL) and truncated standard deviation of the run length (TSDRL) criteria. The results obtained show that the nonparametric VSS SN short run chart is always quicker than the FSS SN short run chart in detecting process shifts for various underlying process distributions, hence, reducing scrap and rework cost. Finally, an application of the proposed control charting scheme is shown through a real-life example on the fill volume of soft drink beverage bottles. |
| Databáze: | OpenAIRE |
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