Ota R.R.Pati J.C.Ojha A.K.2025-02-172019http://dx.doi.org/10.1007/s12597-019-00363-6https://idr.iitbbs.ac.in/handle/2008/2295Geometric programming is an important tool for solving certain optimization problems. In this paper, multi objective geometric programming with ?-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 ?-constraint method by considering suitable numerical examples. � 2019, Operational Research Society of India.enDualityGeometric programmingOptimizationPareto solutionRadius of power supplyWeighted method?-Constraint methodArticle