A one-sided sequential screening procedure based on the Individual Misclassification Error (IME) is developed. The generalized formulas for any Sequential Screening Procedure (SQSP) with r stages are derived under the assumption of a multivariate normal distribution. Total Inspection Cost (TIC), Average Outgoing Quality (AOQ) and Producer's Risk (PR) are used as the criteria for selecting the optimal allocation. An example with four screening variables allocated into single-stage, double-stage and triple-stage sequential screening procedures (SSP, DSP and TSP) is illustrated using the derived generalized formulas to search for the best allocation.