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This paper discusses a discrete optimization problem of optimal design of Power Delivery Networks (PDN) in VLSI systems. In this paper, a practical case study is presented, where, in order to design an efficient PDN, the cumulative impedance of the PDN is optimized below the target impedance. For this purpose, the decoupling capacitors (from commercially available capacitors) are chosen in such a way that the minimum number of the capacitors are used, and also their optimal locations are identified. The different variants of inertia weight strategies incorporated into particle swarm optimization algorithms are used for this purpose. A comparative analysis of the performance of these algorithms is also presented.

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