H. Y. Alkahby & F. N. Jalbout
A mathematical model for a decision criterion for disposing an inspection lot is developed. An expression of the posterior cost is formulated in terms of the quality characteristics X of the items manufactured, the sample size n, the lot size N, the upper and lower limits of X (U, L) of the individual items, the sample mean , the mean and variance of X, also in terms of the economical cost parameters, Optimizing the posterior cost equation leads to the estimation of the decision points. A procedure to accept, reject, screen or scrap the entire lot based on the values of the decision points is developed. Mathematical expressions are derived for the expected cost of lot acceptance, screening and scrapping. In developing the model, the distribution of X and are normal. The tested items can be used for their intended purposes after testing. The defective items can be repaired or reworked. Rejected lots are either screened or scrapped. The decision to accept or reject a lot depends on the upper and lower limits of the sample mean, which constitutes the decision points.
Published December 9, 1999.
Subject lassfications: 76N10, 76Q35.
Key words: magneto-acoustic waves, Newtonian cooling coefficient, wave propagation, reflection coefficient.
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Fouad N. Jalbout
Division of the Natural Sciences
New Orleans,LA 70122 USA