Abstract

Geometric programming is an important tool for solving certain optimization problems. In this paper, multi objective geometric programming with $$\epsilon $$ -constraint method is used to find the maximum radius of a circular power supply substation to supply power in a particular region. The main aim of the proposed method is to formulate a mathematical model for the efficient distribution of the power supply to maximum area from a circular substation with least investment and minimum waste. The proposed multi-objective optimization model has been solved to generate Pareto optimal solutions using weighted sum method. The results so obtained have been compared with that of $$\epsilon $$ -constraint method by considering suitable numerical examples.

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