Expected Cost for Continuous Sampling Plans

Eleftheriou, Mavroudis; Farmakis, Nikolaos

doi:10.1080/03610926.2011.562783

Cited by 10 publications

(8 citation statements)

References 8 publications

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“…It can be seen from Figure 1(b) that only the inspection scheme ( , ) can meet the inequality (11) when ≤ . Thus, the inspection scheme ( , ) is the sole scheme which can simultaneously satisfy the two inequalities (10) and (11), named the optimal scheme.…”

Section: Determination Of Parameters For the Quality Controlmentioning

confidence: 99%

“…The scheme ( , ) can achieve the conforming outgoing quality < AOQL with a smaller inspection workload than for an in-control process with < and = AOQL under the inspection capability limit for an in-control process with = . The values of the parameters and cannot be easily achieved with inequalities (10) and (11). Li et al [38] proposed the formulas to solve the parameters of the specified AOQL contour scheme for the specified .…”

Section: Determination Of Parameters For the Quality Controlmentioning

confidence: 99%

“…Considering the economic objective, the inspection scheme in CSP-1 could work most effectively when the probability of nonconformity was roughly two-thirds of the value of the average outgoing quality limit (AOQL) [10]. Moreover, the different methods have been proposed for optimizing the parameters of inspection schemes in CSP-1 in a view of cost [11][12][13][14]. However, there is no agreed conclusion about how to identify the inspection scheme in CSPs whose inspection cost is the minimum.…”

Section: Introductionmentioning

confidence: 99%

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Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index

Chun-Zhi

Tong

Wang

2018

Discrete Dynamics in Nature and Society

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The single level continuous sampling plan (CSP-1) is an in-line process control tool that has been commonly adopted in various manufacturing industries. However, CSP-1 is designed for only satisfying the quality constraint. At the same time, CSP-1 has disadvantages with the high probabilities of both Type I and Type II errors due to its inherent deficiency coming from the operating procedure. In this work, an optimal scheme for process quality and cost control is proposed to monitor the process cost and improve the process quality. The CSP-1 and the process yield index (Spk) are integrated in the present scheme, which work independently and complementarily. The four parameters (clearance number, inspecting fraction, sample size, and critical value) are designed in the proposed scheme under simultaneously considering the quality and cost constraints. The sole feasible inspection scheme in CSP-1 under the two constraints is found and used for controlling the process quality. The probabilities of Type I and Type II errors are concurrently controlled at the stipulated level with the risk control scheme, which is constructed with two nonlinear inequation based on the accurate distribution of the index Spk. A case study is illustrated to validate the effectiveness and practicality of the proposed scheme.

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Section: Determination Of Parameters For the Quality Controlmentioning

confidence: 99%

Section: Determination Of Parameters For the Quality Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index

Chun-Zhi

Tong

Wang

2018

Discrete Dynamics in Nature and Society

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“…Those models are merely based on economic considerations. Chou (2002, 2003) and Eleftheriou and Farmakis (2011) suggested various extensions of Cassady et al'…”

Section: Introductionmentioning

confidence: 99%

Joint economic design of production, continuous sampling inspection and preventive maintenance of a deteriorating production system

Bouslah

Gharbi

Pellerin

2016

International Journal of Production Economics

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Standard continuous sampling procedures and tables are conventionally applicable only to continuous production processes that are statistically 'in-control'. Consequently, these standards cannot be used to control quality in deteriorating production processes. Moreover, existing continuous sampling models do not consider interactions with production, inventory and maintenance aspects. In this paper, we attempt to fill these gaps in the literature. We investigate the joint design and optimization of a type-1 continuous sampling plan (CSP-1), make-to-stock production and preventive maintenance of a stochastic production system subject to both quality and reliability deteriorations. Two models of CSP-1 are considered and compared: the classical CSP-1 as in the standard procedures, and a CSP-1 plan with a stopping rule that is combined with condition-based maintenance. For both models, the optimization problem is to minimize the total incurred cost under a constraint on the outgoing quality. A combination of mathematical formulation, simulation and optimization techniques is used to solve such stochastic and constrained problems. Numerical examples are given to illustrate the resolution approach and to highlight some interesting aspects in the interactions between production, inventory, quality, maintenance and reliability. The results obtained demonstrate that sampling inspection plans realize significant cost savings compared to the 100% inspection which is commonly used in the literature of integrated models, and that using the CSP-1 with an inspection stopping rule for deteriorating processes is more costeffective than the classical CSP-1.

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“…Κεφάλαιο 5 Μέθοδοι οικονομικής αποτίμησης σχεδίων συνεχούς δειγματοληψίας ται η επέκταση της εργασίας των Eleftheriou and Farmakis (2011a) σε ένα γενικευμένο οικονομικό μοντέλο συνεχούς δειγματοληψίας, όπου με καινοτόμο τρόπο λαμβάνονται υπόψη σχεδόν όλοι οι παράγοντες, ενδογενείς ή εξωγενείς που μπορούν να ποσοτικοποιηθούν. O Cassady (2000) ανέπτυξε το οικονομικό μοντέλο που περιγράφεται στην παρούσα παράγραφο επιχειρώντας να αποδείξει θεωρητικά την ισχύ του κανόνα kp του Deming στην περίπτωση του CSP-1 (βλέπε παράγραφο 4.2.4) με δεδομένο ότι η υπό μελέτη διεργασία βρίσκεται σε κατάσταση στατιστικού ελέγχου.…”

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Έλεγχοι Διεργασιών Υψηλής Ποιότητας Και Εφαρμογές Στη Δειγματοληψία Αποδοχής

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Β Χαρακτηριστικά μεγέθη της αποκομμένης μεταβλητής Y T Γ Μαρκοβιανή μοντελοποίηση εύρεσης ARL για μονόπλευρα EWMA διαγράμματα Βιβλιογραφία 1.4.2 Μέτρο αποτελεσματικότητας των διαγραμμάτων ελέγχου (ARL) Σε κάθε Shewhart διάγραμμα ελέγχου ορίζεται το ARL ως εξής: Ορισμός. Ως μέσο μήκος ροής (ARL) ορίζεται το μέσο πλήθος διαδοχικών δειγμάτων που πρέπει να ελεγχθούν μέχρι η διεργασία να κριθεί εκτός ελέγχου.

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Expected Cost for Continuous Sampling Plans

Cited by 10 publications

References 8 publications

Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index

Optimal Scheme for Process Quality and Cost Control by Integrating a Continuous Sampling Plan and the Process Yield Index

Joint economic design of production, continuous sampling inspection and preventive maintenance of a deteriorating production system

Έλεγχοι Διεργασιών Υψηλής Ποιότητας Και Εφαρμογές Στη Δειγματοληψία Αποδοχής

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