Comparative statistical analysis of selected control charts for highly capable processes

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dc.contributor.authorJarošová, Eva
dc.contributor.authorNoskievičová, Darja
dc.contributor.otherEkonomická fakultacs
dc.date.accessioned2019-06-15T15:50:59Z
dc.date.available2019-06-15T15:50:59Z
dc.description.abstractWhen a high-quality process is to be controlled by 100% inspection and yes-no decision is employed, several types of charts come into account, e.g. CCC, CCC-r or geometric CUSUM (CCC-CUSUM). The aim of the paper is to examine performance of these charts so that a suitable one can be chosen for a given process. The charts are compared according to the quickness with which the upward shift in the fraction of nonconforming items is detected. The average number of observations to signal (ANOS) instead of the usual average run length (ARL) is determined. While ANOS for CCC or CCC-r charts can be easily calculated based on a geometric or a negative binomial distribution, its computation is quite difficult in the case of CCC-CUSUM chart. The corrected diffusion (CD) approximation was used to determine ANOS and the results were verified by Monte Carlo simulation. Zero-state and steady-state (both fixed-shift and random-shift model) analyses were performed to take different scenarios of the process shift occurrence into account. CCC-3 or CCC-2 and CCC-CUSUM charts were compared. The order r for CCC-r chart was chosen as an optimal value for the given process based on the semi-economic model suggested in Brodecká (2013). Our study revealed that for in-control p0 equal to 0.0002 the CCC-CUSUM chart performs best especially for shifts around the pre-specified out-of-control fraction nonconforming. The CCC-r chart may be comparable or even better in detecting larger shifts. The results of the comparative study were utilized for the choice of the most suitable and best performing control chart to control the high-yield process producing ERG (Exhaust Gas Recirculation) sensors. Comparisons of CCC-r and CCC-CUSUM charts can be found elsewhere in literature, but conclusions seem to be rather inconsistent. To our best knowledge no study dealing with such small in-control fraction nonconforming together with the low risk of false alarm has been published yet. The choice of CUSUM's parameters and consequent values of ANOS can help practitioners who need to control high-quality processes.en
dc.formattext
dc.identifier.doi10.15240/tul/001/2019-2-005
dc.identifier.eissn2336-5604
dc.identifier.issn1212-3609
dc.identifier.urihttps://dspace.tul.cz/handle/15240/152596
dc.language.isoen
dc.publisherTechnická Univerzita v Libercics
dc.publisherTechnical university of Liberec, Czech Republicen
dc.publisher.abbreviationTUL
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dc.relation.ispartofEkonomie a Managementcs
dc.relation.ispartofEconomics and Managementen
dc.relation.isrefereedtrue
dc.rightsCC BY-NC
dc.subjectCCC charten
dc.subjectCCC-r charten
dc.subjectCCC-CUSUM charten
dc.subjectANOSen
dc.subjectzero-state scenarioen
dc.subjectfixed shift steady-state scenarioen
dc.subjectrandom shift steady-state scenarioen
dc.subjectsimulationen
dc.subject.classificationC46
dc.subject.classificationL62
dc.titleComparative statistical analysis of selected control charts for highly capable processesen
dc.typeArticleen
local.accessopen
local.citation.epage82
local.citation.spage68
local.facultyFaculty of Economics
local.filenameEM_2_2019_05
local.fulltextyes
local.relation.abbreviationE+Mcs
local.relation.abbreviationE&Men
local.relation.issue2
local.relation.volume22
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