A Computer Program for the Solution of Double Sampling Plans

Chow, Bryant; Dickinson, Peter C.; Hughes, Herman D.

doi:10.1080/00224065.1972.11980552

Cited by 7 publications

(4 citation statements)

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“…Early development of search routines for the design of sampling plans were performed with the programing language FORTRAN (Chow et al 1972;Hailey 1980). A general algorithm to develop two-point SSP plans for inspection by attributes was introduced by Hailey (1980).…”

Section: Introductionmentioning

confidence: 99%

“…The most common constraint that has been used is to require that n 2 is a multiple of n 1 , that is, n 2 ¼ r Á n 1 ðr 2 N 0 Þ (Montgomery 2013). For attributes inspection, previous developed search routines have assumed a Poisson distribution (Chow et al 1972). In addition, additional constraints on the acceptance numbers (c 1 , c 2 ) have been studied, for example, c 2 !…”

Section: Introductionmentioning

confidence: 99%

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A web-based tool to design and analyze single- and double-stage acceptance sampling plans

Luca

Vandercappellen

Claes

2019

Quality Engineering

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Acceptance sampling plans are used to determine whether production lots can be accepted or rejected. Existing tools only provide a limited functionality for the two-point design and the risk analysis of such plans. In this article, a web-based tool is presented to study singleand double-stage sampling plans. In contrast to existing solutions, the tool is an interactive applet that is freely available. Analytic properties are derived to support the development of search strategies for the design of double-stage sampling plans that are more efficient and accurate in comparison with existing routines. Several case studies are presented.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A web-based tool to design and analyze single- and double-stage acceptance sampling plans

Luca

Vandercappellen

Claes

2019

Quality Engineering

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“…Taking advantage of the growth of calculation power, several algorithms were since then developed to handle this problem computationally. Since the system of algebraic equations resulting from controlling the quality levels stipulated has not an exact form, most of the algorithms are based on enumeration techniques to seek feasible combinations of variables (Chow et al , 1972; Olorunniwo and Salas, 1982; Taylor, 1986; Soundararajan and Vijayaraghavan, 1990). In recent years, different conceptual bases were considered for supporting the design of AS procedures, namely the economic aspects of sampling and inspecting a process for lot acceptance, and Bayesian statistical frameworks.…”

Section: Introductionmentioning

confidence: 99%

An optimization‐based approach for designing attribute acceptance sampling plans

Duarte

Saraiva

2008

International Journal of Quality &Amp; Reliability Management

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PurposeThis purpose of this paper is to present an optimization‐based approach to support the design of attribute sampling plans for lot acceptance purposes, with the fraction of non‐conforming items being modeled by a Poisson probability distribution function.Design/methodology/approachThe paper approach stands upon the minimization of the error of the probability of acceptance equalities in the controlled points of the operating curve (OC) with respect to sample size and acceptance number. It was applied to simple and double sampling plans, including several combinations of quality levels required by the producer and the consumer. Formulation of the design of acceptance sampling plans as an optimization problem, having as a goal the minimization of the squared error at the controlled points of the OC curve, and its subsequent solution employing GAMS.FindingsThe results are in strong agreement with acceptance sampling plans available in the open literature. The papers approach in some scenarios outperforms classical sampling plans and allows one to identify the lack of feasible solutions.Originality/valueAn optimization‐based approach to support the design of acceptance sampling plans for attributes was conceived and tested. It allows for a general treatment of these problems, including the identification of a lack of feasible solutions, as well as making possible the determination of feasible alternatives by relaxing some model constraints.

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“…There has been considerable work done using these computers in quality control as is evident by the reports of Larson (1969), Worthman and Heinrich (1973), and Montgomery (1982). The area of sampling techniques and establishment of sampling plans has also been affected by the progress in computer technology (Snyder and Stores 1972;Olorunniwo and Salas 1982;Chow et al 1972;Chow er al. 1983).…”

Section: Introductionmentioning

confidence: 99%

Computer Codes and Their Application Development of a Sampling Plan for Specified Risks by Microcomputers

Pappas

Rao

1987

Journal of Food Processing and Preservation

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The selection of a sampling plan is a very critical decision in quality control. llere are standard plans available, such as MIL-STD, based on some speciJied AQL and corresponding "Producer's risk". However, with the widespread use of microcomputers it is possible to specify more than one point on the operational characteristic curve (OC) and obtain the sample size and acceptance number. llis study involved the development of a numerical solution based on specifying two points on the OC curve. An algorithm coded in BASIC (compiled to machine language) was developed to yield the sampling plan and corresponding plot of OC curve.

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A Computer Program for the Solution of Double Sampling Plans

Cited by 7 publications

References 1 publication

A web-based tool to design and analyze single- and double-stage acceptance sampling plans

A web-based tool to design and analyze single- and double-stage acceptance sampling plans

An optimization‐based approach for designing attribute acceptance sampling plans

Computer Codes and Their Application Development of a Sampling Plan for Specified Risks by Microcomputers

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