Comparison for the total expected quality control cost between proposed model and Schmidt-Taylor model

Abstract

In this paper ,we constructed a model for the total expected cost of quality control, which include four components, A1(inspection cost) and A2 represent cost of accepting defective units ,and the third component is A3(cost of rejecting good units) and finally A4 which is the loss due to stopping of production line. This model is modification for the model presented by Schmidt-Taylor [2]. The aim of model is to determine the three parameters of single sampling plan, were is the sample size, is acceptance number and is the time interval between inspections. The proposed model needs the multivariate search technique and enumeration procedure; to solve the expected cost quality model and then obtain the set of parameters that minimize this function the efficiency of proposed model was compared with this due to Schmidt-Taylor model .All notations and derivations are explained. Keyword: Acceptance sampling plan, proposed model for expected total cost of quality control, Multivariate search technique, enumeration procedure application. The aim of research The basic aim of this research is to build linear cost model for total quality control by minimizing the total expected value of cost function which consists of four components . The percentage of defective is ( ) in normal conditions of production, and ( , > ), when there is reasons which cause the defective in production process. The period time between successive inspections is divided into two periods, first is (t) when (T :) proportion of defective which is rejected 3) N: size of lot 4) n: sample size 5) c: acceptance number 6) Inspection used is of rectifying kind. 7) The decision of accepting sample , implies accepting all the remaining lot(N-n) 8) The decision of rejecting a sample, cause to rejection the lot, and inspected all the quantity (N-n). 9) The cost of testing and accepting and rejecting and cost due to stopping of Am. J. Sci. Ind. Res., 2011, 2(1): 107-111 108 production line all are in the same units 10) The definition of percentage of defective due to Schmidt-Taylor (1973),which we used for modified model is ... (2) Which is especial case from proposed equation number (1), were if we solve equation (1) by using we obtain equation (2) We may re-write in the following form Since:-