The optimal policy for a sampling plan in continuous production in terms of the clearance number

Haji, Alireza; Haji, Rasoul

doi:10.1016/j.cie.2004.06.005

Cited by 13 publications

(11 citation statements)

References 6 publications

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“…Kobilinsky and Bertheaub (2005) determined a cost control function based on the number of groups and the total number of samples to obtain the least costly acceptance sampling plan and ensure that the risk rate of consumers and producers were below predetermined thresholds of both parties. Haji and Haji (2004) consider a special sampling plan, which has been developed for continuous production processes. The objective is to derive the total cost includes the costs of inspection, reworks, and defective items returned by the customers, and the minimum cost policy for the sampling plan.…”

Section: Literaturementioning

confidence: 99%

The Comparative Study on Expected Total Quality Cost Between Traditional Single Sampling Plan and Economical Design

Huang¹,

Cheng²

2019

IJQR

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In the quality inspection practice of the consumer electronics industry, MIL-STD-105E sampling table is viewed as the basis for sampling plans. This traditional quality inspection plan determine the sample size and reject rule based on the size of lot, consumer's and producer's risk and average quality level (AQL). Traditional sampling plan does not consider internal and external quality costs. However, quality costs were considered in many previous researches, but the comparison between traditional and economical design of single sampling plan is rare from now. This paper discusses the sampling test before the receiving inspection which is vendor simulated buyers. Includes the costs of inspection, rework, replacement, and external failure cost are considered. We compare the quality economical design with traditional single sampling plan under the total quality cost. This paper can be regarded as a reference for future studies and practical applications.

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Section: Literaturementioning

confidence: 99%

The Comparative Study on Expected Total Quality Cost Between Traditional Single Sampling Plan and Economical Design

Huang¹,

Cheng²

2019

IJQR

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“…Boyles [13] proposed the use of the process yield index, , to obtain an exact measure of the process yield for a process with a normal distribution. There is a one-to-one relationship between and the process yield.…”

Section: Process Fraction Nonconforming and Process Yield Indexmentioning

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%

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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“…Industrial practitioners often adopt continuous sampling plans to reduce inspection efforts as well as monitor process quality, as explained in the Introduction. Researchers have studied the economic design of sampling plans; i.e., finding the sampling fraction and clearance number to minimize total cost consisting mainly of inspection and penalty costs due to delivering defects to customers (Chen and Chou, 2003;Haji and Haji, 2004). However, these sampling plans are determined based on outgoing quality and average inspection fraction.…”

Section: Literature Reviewmentioning

confidence: 99%

Improving the performance of manufacturing systems with continuous sampling plans

Cao

Subramaniam

2013

IIE Transactions

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Continuous sampling plans are commonly adopted in various manufacturing industries to improve quality. Quantitative performance measures such as throughput and Work-In-Process (WIP) are highly coupled with quality and are also affected by sampling plans. However, quantitative and qualitative issues have long been studied separately in the literature. This article proposes an integrated quantity and quality model for manufacturing systems with sampling plans. A continuous-time and discrete part flow Markov model is first proposed for a single-stage system. Unlike previous Markov models, this model is capable of calculating various performance measures; e.g., throughput, quality, average fraction of inspection and WIP. A method for performance analysis of twostage systems is presented. The method's satisfactory accuracy is demonstrated with experimental results. Additionally, quantitative analysis is performed to investigate the effect of sampling fraction and clearance number (parameters of a sampling plan) on the various performance measures. Industrial practitioners may benefit in improving the performance by varying sampling plans. Finally, a decomposition model of multistage systems is studied based on which a method to determine the best sampling plans for manufacturing systems is developed. Numerical experimental results demonstrate the effectiveness of the proposed method in finding appropriate sampling parameters for profit improvement.

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The optimal policy for a sampling plan in continuous production in terms of the clearance number

Cited by 13 publications

References 6 publications

The Comparative Study on Expected Total Quality Cost Between Traditional Single Sampling Plan and Economical Design

The Comparative Study on Expected Total Quality Cost Between Traditional Single Sampling Plan and Economical Design

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

Improving the performance of manufacturing systems with continuous sampling plans

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