New Concept of Percentage Total Deviation Method for Multi-Objective Optimization

Authors: Dr. P. S. Kannan, Dr. S. Durairaj, Er. K. Samuktha
Abstract: Real time problems faced in day to day life are involving proper decision making with many objectives.. There are many effective methods for optimizing single objective function. The problem has n objectives ends with n solutions having different values of design variables. The need for common single objective function by combining all the n objective functions is needed for obtaining the best solution for design variables. weightages added to each objective function for the formation of single objective function. There are many more methods to develop single objective function for the problem. This paper presents a very simple new concept of percentage deviation method. It combines multi objectives into a single objective function for the best solution. In this approach, the solution of single optimization is required by any optimization method before going for the application. Simple dc #circuit having two sources and one load is considered as an example. Three objectives are present in the example which illustrates the application of the method. The actual plot of variation in the value of objective functions with respect to single design variable is shown to demonstrate the effectiveness of the method.
Keywords: Percentage #deviation, Single #optimization, Total deviation, Multi objective, Fuel cost, #Network loss, #Emission, Cost function, emission function, Optimal value, Design variables, minimization, parametric, #quadratic
URL: www.ijsr.net/g...

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Typo- 3:25
0.0045 P1² + 0.125 P1 +10
O.0015 P2² + 0.8 P2 + 20