Selection of acceptance sampling plans with multi - attribute defects in computer-aided quality control

Abstract A multicriteria quality control model for acceptance sampling is developed which defines several conflicting and non-commensurate objectives. The following objectives are proposed and quantified in this model: (1) to minimize the cost of inspection, (2) to minimize the number of critical defects, (3) to minimize the number of major defects, and (4) to minimize the number of minor defects. The interactive paired comparison method identifies the most desirable sample sizes and acceptance levels for critical, major, and minor defects for a given lot size. At each iteration a small number of alternatives is presented to a decision maker. The decision maker chooses the most favourable alternative by expressing his/her strength of preference for pairs of alternatives. An unknown non-linear utility function of objectives is assumed. The optimal sampling plan is determined using a minimal number of interactions. A computer package is developed and used to determine the optimal sampling plan for an applic...

[1]  J. W. Schmidt,et al.  A Dual Purpose Cost Based Quality Control System , 1973 .

[2]  Michael A. Saunders,et al.  Computing Finite-Difference Approximations to Derivatives for Numerical Optimization. , 1980 .

[3]  B. Malakooti,et al.  Multiple objective programming for the quadratic assignment problem , 1987 .

[4]  Kenneth E. Case,et al.  The Choice of Variables Sampling Plans Using Cost Effective Criteria , 1974 .

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

[6]  Arthur M. Geoffrion,et al.  An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department , 1972 .

[7]  G. W. Stewart,et al.  A Modification of Davidon's Minimization Method to Accept Difference Approximations of Derivatives , 1967, JACM.

[8]  Eugene L. Grant,et al.  Statistical Quality Control , 1946 .

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

[10]  Armand V. Feigenbaum,et al.  Total quality control , 1961 .

[11]  B. Malakooti Computer-aided facility layout selection (CAFLAS) with applications to multiple criteria manufacturing planning problems , 1987 .

[12]  A. Dale Flowers,et al.  An Application of Computer Simulation to Quality Control in Manufacturing , 1985 .

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

[14]  A. Ravindran,et al.  Experiments with an interactive paired comparison simplex method for molp problems , 1985 .

[15]  Yacov Y. Haimes,et al.  Multiobjective Decision Making: Theory and Methodology , 1983 .

[16]  B. Malakooti Assessment through strength of preference , 1985 .