Mishra, Sudhanshu (2006): Some new test functions for global optimization and performance of repulsive particle swarm method.

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Abstract
In this paper we introduce some new test functions to assess the performance of global optimization methods. These functions have been selected partly because several of them are aesthetically appealing and partly because a few of them are really difficult to optimize, while all the functions are multimodal. Each function has been graphically presented to appreciate its geometrical appearance. To optimize these functions we have used the Repulsive Particle Swarm (RPS) method. We have also appended a computer program of the RPS method. Except two functions, namely the 'crowned cross' and the 'crosslegged table' functions all other new test functions are optimized by the RPS program.The program has also been tested with success on a number of wellestablished benchmark functions. However, the program fails miserably in optimizing the Bukin and a couple of other functions.
Note: Readers should beware of the plagiarism by one Mr. Sanjeev K Singh, Tezpur University, Assam, who, in his article "A Comparative Study of Genetic Algorithm, ImprovedRepulsive Particle Swarm Optimization and Simulated Annealing" published in the proceedings of Advances in Computational Optimization and Analysis of Systems (COSA 2007), 69 February, 2007 Outreach Centre, IIT, Kanpur, attributes introduction of some new functions (Bird function, Penholder function, Cross function, etc) and the improved Particle Swarm method to himself.
Item Type:  MPRA Paper 

Institution:  NorthEastern Hill University, Shillong (India) 
Original Title:  Some new test functions for global optimization and performance of repulsive particle swarm method 
Language:  English 
Keywords:  Repulsive particle swarm method; Global optimization; New test functions; Bird function; Penholder function; Crowned cross function; Crosslegged table function; Cross function; Cross in tray function; Carrom table function; Holder table function; Testtube holder function 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63  Computational Techniques ; Simulation Modeling C  Mathematical and Quantitative Methods > C8  Data Collection and Data Estimation Methodology ; Computer Programs > C88  Other Computer Software C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61  Optimization Techniques ; Programming Models ; Dynamic Analysis 
Item ID:  2718 
Depositing User:  Sudhanshu Kumar Mishra 
Date Deposited:  13. Apr 2007 
Last Modified:  08. Jan 2014 07:24 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/2718 