A Concise Review of Lot-by-Lot Acceptance Sampling by Attributes

This chapter purports to offer some insight into lot-by-lot acceptance sampling by attributes, which is one of the common types of acceptance sampling. When using such a sampling plan, a sample of a predetermined number of items is taken from each submitted lot and inspected by attributes. With the information from the inspected sample, a decision of acceptance or rejection of the submitted lot can be made. The basic ideas of these sampling plans are introduced first and the various versions of each sampling plan are then discussed. Optimization models and methods for determining optimal parameters for each plan are presented. The review is supplemented by reference to the appropriate publications in the literature.

[1]  William C. Guenther,et al.  On the Determination of Single Sampling Attribute Plans Based upon a Linear Cost Model and a Prior Distribution , 1971 .

[2]  G. B. Wetherill,et al.  A Review of Acceptance Sampling Schemes with Emphasis on the Economic Aspect , 1975 .

[3]  Takeshi Koyama,et al.  MIL-STD-105D and the Japanese Modified Standard , 1970 .

[4]  R. Fildes Journal of the Royal Statistical Society (B): Gary K. Grunwald, Adrian E. Raftery and Peter Guttorp, 1993, “Time series of continuous proportions”, 55, 103–116.☆ , 1993 .

[5]  Herbert Moskowitz,et al.  Effect of Risk Aversion on Single Sample Attribute Inspection Plans , 1984 .

[6]  Larry J. Stephens A Closed Form Solution for Single Sample Acceptance Sampling Plans , 1978 .

[7]  Saeed Maghsoodloo,et al.  The Effects of Inspection Error on Double Sampling by Attributes , 1985 .

[8]  Harrison M. Wadsworth,et al.  Reviews of Standards and Specifications: Small Acceptance Number Plans for Use in Military Standard 105D , 1984 .

[9]  J. Kiefer,et al.  Some Properties of Generalized Sequential Probability Ratio Tests , 1957 .

[10]  A. W. Wortham,et al.  Multiple deferred state sampling inspection , 1976 .

[11]  Douglas C. Montgomery,et al.  Introduction to Statistical Quality Control , 1986 .

[12]  H. F. Dodge Notes on the Evolution of Acceptance Sampling Plans: Part I , 1969 .

[13]  A. Kaplan,et al.  Instantaneous Switching Procedure for MIL-STD-105D , 1969 .

[14]  Abraham Golub,et al.  Designing Single-Sampling Inspection Plans When the Sample Size is Fixed , 1953 .

[15]  K. E. Case,et al.  Some recent findings in bayesian attribute single and double sampling , 1985 .

[16]  R. C. Baker,et al.  Conditional Double Sampling , 1978 .

[17]  An improved estimator of the mean for a sequential binomial sampling plan , 1987 .

[18]  John W. Enell Which Sampling Plan Should I Choose , 1984 .

[19]  M. Sobel,et al.  SEQUENTIAL LIFE TESTS IN THE EXPONENTIAL CASE , 1955 .

[20]  W. Edwards Deming,et al.  Out of the Crisis , 1982 .

[21]  William C. Guenther,et al.  Computer Programs: Determination of Rectifying Inspection Plans for Single Sampling by Attributes , 1984 .

[22]  E. G. Schilling,et al.  New ANSI versions of MIL‐STD‐414 and MIL‐STD‐105D , 1985 .

[23]  Leo A. Aroian,et al.  Applications of the Direct Method in Sequential Analysis , 1976 .

[24]  D. H. Besterfield Quality control , 1979 .

[25]  F. J. Anscombe Linear Sequential Rectifying Inspection for Controlling Fraction Defective , 1946 .

[26]  Ryunosuke Suga,et al.  Column: Reviews of Standards and Specifications: MIL-STD-105D and the Japanese Modified Standard , 1970 .

[27]  J. W. Schmidt,et al.  Economic Multiattribute Acceptance Sampling , 1972 .

[28]  A. Blanton Godfrey,et al.  Reviews of Standards and Specifications: LQL Indexed Plans that are Compatible with the Structure of MIL-STD-105D , 1980 .

[30]  George Minton Verification Error in Single Sampling Inspection Plans for Processing Survey Data , 1972 .

[31]  Herman D. Hughes,et al.  A Computer Program for the Solution of Double Sampling Plans , 1972 .

[32]  W. R. Pabst MIL-STD-105D , 1963 .

[33]  V. Soundararajan Procedures and Tables for Construction and Selection of Chain Sampling Plans (ChSP-1) , 1978 .

[34]  G. Horsnell,et al.  Economical Acceptance Sampling Schemes , 1957 .

[35]  Donald M. Olsson,et al.  Computer Programs: GRASP: A General Routine for Attribute Sampling Plan Evaluation , 1978 .

[36]  A. W. Wortham,et al.  DEPENDENT STAGE SAMPLING INSPECTION , 1970 .

[37]  H. F. Dodge,et al.  Sampling inspection tables , 1945 .

[38]  A. Hald Bayesian single sampling attribute plans for discrete prior distributions , 1964 .

[39]  Wendell E. Carr Sampling Plan Adjustment for Inspection Error and Skip-Lot Plan , 1982 .

[40]  M. Johns,et al.  Bayes Acceptance Sampling Procedures for Large Lots , 1959 .

[41]  Edward G. Schilling,et al.  The Performance of MIL-STD-105D Under the Switching Rules: Part 2: Tables , 1978 .

[42]  A. Blanton Godfrey,et al.  Reviews of Standards and Specifications: The Use of MIL-STD-105D to Control Average Outgoing Quality , 1979 .

[43]  Gerald G. Brown,et al.  A cost analysis of sampling inspection under Military Standard 105D , 1973 .

[44]  Paul Peach,et al.  A Note on Sampling Inspection , 1946 .

[45]  David Gawen Champernowne Uncertainty and estimation in economics , 1969 .

[46]  R. D. Stewart,et al.  Choice of Double Sampling Plans Based on Prior Distributions and Costs , 1978 .

[47]  Robert D. Neathammer,et al.  MIL-STD-781B Reliability Tests: Exponential Distribution , 1969 .

[48]  H. C. Hamaker,et al.  Some Basic Principles of Sampling Inspection by Attributes , 1958 .

[49]  B. Kurkjian,et al.  Exact Operating Characteristic for Truncated Sequential Life Tests in the Exponential Case , 1962 .

[50]  A. Blanton Godfrey,et al.  Reviews of Standards and Specifications: Tables for the Construction of Matched Single, Double, and Multiple Sampling Plans with Application to MIL-STD-105D , 1980 .

[51]  M. K. Vagholkar,et al.  Formulae to Improve Wald's Approximation for Some Properties of Sequential Tests , 1965 .

[52]  William C. Guenther,et al.  The Average Sample Number for Truncated Double Sample Attribute Plans , 1971 .

[53]  J. W. Schmidt,et al.  The Design of Economic Acceptance Sampling Plans for a Mixture of Variables and Attributes , 1975 .

[54]  A Note on the Determination of Attribute Sampling Plans of Given Strength , 1977 .

[55]  H. F. Dodge,et al.  Chain Sampling Inspection Plan , 1977 .

[56]  Leo A. Aroian,et al.  Sequential Analysis, Direct Method , 1968 .

[57]  Gerald G. Brown,et al.  An analysis of the long range operating characteristics of the MIL-STD-105D sampling scheme and some suggested modifications , 1975 .

[58]  G. H. Brooks Acceptance sampling design by computer - optimality concerns , 1989 .

[59]  A. Hald,et al.  The Compound Hypergeometric Distribution and a System of Single Sampling Inspection Plans Based on Prior Distributions and Costs , 1960 .

[60]  T. W. Anderson A MODIFICATION OF THE SEQUENTIAL PROBABILITY RATIO TEST TO REDUCE THE SAMPLE SIZE , 1960 .

[61]  W. J. Zimmer,et al.  Some Acceptance Sampling Plans Based on the Theory of Runs , 1962 .

[62]  Hidetomo Ichihashi,et al.  Determination of single-sampling-attribute plans based on membership functions , 1988 .

[63]  Harvey C. Charbonneau,et al.  Industrial Quality Control , 1978 .

[64]  Majid Jaraiedi,et al.  A New Procedure for Bulk Material Quality Control , 1989 .

[65]  J. Schmee,et al.  Confidence Limits on MTBF for Sequential Test Plans of MIL-STD 781. , 1979 .

[66]  A. Hald,et al.  ON THE THEORY OF SINGLE SAMPLING INSPECTION BY ATTRIBUTES BASED ON TWO QUALITY LEVELS , 1967 .

[67]  B. S. Liebesman The continuing evolution of the military standard 105d sampling system , 1982, The Bell System Technical Journal.

[68]  Bruce Hoadley,et al.  Qmp/USP: A modern alternative to MIL‐STD‐105D , 1985 .

[69]  F. E. Grubbs On Designing Single Sampling Inspection Plans , 1949 .

[70]  C. C. Craig The Average Sample Number for Truncated Single and Double Attributes Acceptance Sampling Plans , 1968 .

[71]  R. Schafer,et al.  A Sequential Probability Ratio Test for Availability , 1972 .

[72]  David R. Garrison,et al.  Wald Sequential Sampling for Attribute Inspection , 1984 .

[73]  R. C. Baker MARRIAGE OF ZERO INVENTORIES AND CONDITIONAL SAMPLING PROCEDURES. , 1987 .

[74]  J. E. Jackson Bibliography on Sequential Analysis , 1960 .

[75]  On a Sequential Test for the General Linear Hypothesis , 1955 .

[76]  Walter Bartky,et al.  Multiple Sampling with Constant Probability , 1943 .

[77]  Failure-Free Period Life Tests , 1985 .

[78]  S. Chakraborty,et al.  Effect of Inspection Error on MIL STD 105D Sampling Plans: Some Observations , 1989 .

[79]  G. A. Barnard,et al.  Sequential Tests in Industrial Statistics , 1946 .

[80]  J. Pfanzagl,et al.  The Efficiency of Sequential Sampling Plans Based on Prior Distributions and Costs , 1970 .

[81]  Irving Wingate Burr,et al.  Elementary statistical quality control , 1979 .

[82]  O. A. Cocca Some experiences using MIL‐STD‐105 in the united states air force , 1985 .

[83]  Kenneth E. Case,et al.  The economic effects of inspector error on attribute sampling plans , 1974 .

[84]  L. S. Nelson Power in Comparing Poisson Means: II. Two-Sample Test , 1991 .

[86]  Burton S. Liebesman,et al.  A Proposed Attribute Skip-Lot Sampling Program , 1983 .

[87]  R. Perry,et al.  Skip-Lot Sampling Plans , 1973 .

[88]  Rl Perry Skip-Lot Sampling: History and Perspective , 1990 .

[89]  Kenneth E. Case,et al.  A Wide Variety of AOQ and ATI Performance Measures With and Without Inspection Error , 1981 .

[90]  Iie Saeed Maghsoodloo Senior Member,et al.  Inspection Error Effects on Performance Measures of a Multistage Sampling Plan , 1987 .

[91]  D. E. Robison,et al.  Sequential Life Tests for the Exponential Distribution with Changing Parameter , 1966 .

[92]  G. B. Wetherill,et al.  Quality Control and Industrial Statistics , 1975 .

[93]  David G. Champernowne,et al.  The Economics of Sequential Sampling Procedures for Defectives , 1953 .

[94]  A. Blanton Godfrey,et al.  Reviews of Standards and Specifications: The Performance of MIL-STD-105D under the Switching Rules, Part 1: Evaluation , 1978 .

[95]  Arthur Garfield Dean Cost models in reliability testing and evaluation , 1971 .

[96]  L. Chertok,et al.  Hysteria, hypnosis, psychopathology. History and perspectives. , 1975, The Journal of nervous and mental disease.

[97]  Herbert Moskowitz,et al.  Multiattribute Bayesian Acceptance Sampling Plans for Screening and Scrapping Rejected Lots , 1984 .

[98]  B. Epstein Truncated Life Tests in the Exponential Case , 1954 .

[99]  A simplified design procedure for minimax sampling plans by attributes , 1988 .

[100]  R. Vijayaraghavan,et al.  Designing Sampling Inspection Plans When the Sample Size is Fixed , 1990 .

[101]  H. C. Hamaker,et al.  The Efficiency of Double Sampling for Attributes , 1955 .

[102]  A. Hald,et al.  THE DETERMINATION OF SINGLE SAMPLING ATTRIBUTE PLANS WITH GIVEN PRODUCER'S AND CONSUMER'S RISK. A TABLE FOR SOLVING THE EQUATION B(C,N,P) = P FOR C = 0(1)100 AND 15 VALUES OF P , 1966 .

[103]  R. C. Baker ZERO ACCEPTANCE SAMPLING PLANS: EXPECTED COST INCREASES. , 1988 .

[104]  John I. S. Hsu An Economic Design of Skip-Lot Sampling Plans , 1980 .

[105]  Herman Chernoff,et al.  A Bayes Sequential Sampling Inspection Plan , 1965 .

[106]  Kenneth E. Case,et al.  The effects of inspection error on single sampling inspection plans , 1973 .

[107]  Herbert Moskowitz,et al.  Multiattribute Bayesian Acceptance Sampling Plans Under Nondestructive Inspection , 1986 .

[108]  A. Wald Sequential Tests of Statistical Hypotheses , 1945 .