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has many applications to quite a wide range of practical probability problems In inventory, queueing and reliability problems, the analysis is often based on an appropriate identi cation of embedded renewal processes for the speci c problem considered For example, in a queueing process the embedded events could be the arrival of customers who nd the system empty, or in an inventory process the embedded events could be the replenishment of stock when the inventory position drops to the reorder point or below it Formally, let X1 , X2 , be a sequence of non-negative, independent random variables having a common probability distribution function F (x) = P {Xk x}, x 0Recognize Quick Response Code In .NET FrameworkUsing Barcode reader for .NET Control to read, scan read, scan image in VS .NET applications.for k = 1, 2, Letting 1 = E(Xk ), it is assumed that 0 < 1 < The random variable Xn denotes the interoccurrence time between the (n 1)th and nth event in some speci c probability problem De 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