Abstract
paper studies a continuous sampling plan in preventing entries of defective products produced for sales using queueing theory methods. The sampling plan considered here has three inspection modes. All the products are inspected in mode I and in modes II and III the products are inspected with some probability c ≥ 0 and d > 0 respectively in the modes in order to avoid high cost of inspecting all products produced. Matrix methods are used for studying the stock level probabilities and various performance and risk measures including the rate of entry of defectives, expected defective products in the stock, standard deviation and the coefficient of variation are presented. Stationary stock level probabilities are derived using iterated rate matrix. Two special cases with c > 0 and d=1 and with c = 0 and d > 0 are considered. Numerical cases are treated to note the significance of the continuous sampling plan in reducing the entry rates. The expected defective products in the stock for sales and all the risk measures are listed and discussed.
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