An Improved Sum-of-Disjoint-Products Technique for Symbolic Multi-State Flow Network Reliability


Several real-world systems, like electrical power and transportation, satisfy the flow conservation law, and will be thought of to be multistate flow networks (MFN). Reliability could be a widespread index for evaluating MFN performance, and also the total-of-disjoint products (SDP) technique may be a standard tool for evaluating MFN reliability. An improved SDP (iSDP) is proposed during this study by adding simplification procedures to scale back the quantity of multiplications and summations to extend the potency of the SDP; the validity and effectiveness of the iSDP is also demonstrated during this study. The iSDP's computational complexity is additionally analyzed, and one benchmark example is given to illustrate how MFN reliability is decided using the proposed iSDP methodology. In addition, computational experiments with two MFN are conducted to test the performance of the iSDP methodology, together with comparisons to the present best-known SDP method.

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