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Search Opportunities of Swarming Particles Methods in Irregular Multi-Extreme Enviroments

Authors:
Ivan Chernogorov
Rudolf Neydorf
Dean Vucinic

Keywords: optimization; multi-extreme; method of swarming particles; test functions; irregularity; software.

Abstract:
The paper studies the actual task of developing and setting up the algorithms for multi-extreme objects search optimization. To solve such problems, the heuristic methods are effectively used, in particular applying the swarming particles method. The mathematical base for the modified swarming particles method, which is oriented to solve the multi-extreme search problems, is developed and described in detail. The modified algorithm is applied to the irregular multi-extreme Lambda test functions, considered to be a very difficult test case. The developed "Lambda Function" software is created to control the generation, editing and investigation of multidimensional multi-extreme test functions. The applied Lambda function is a multiplicative function developed by R. Neydorf, with fundamental extremes, multidimensionality and isolation in the factor space, which completely exclude the influence of the computed results. The application of this fundamentally new test function shows that such modified method of swarming particles is suitable for solving rather complex multi-extreme search problems. In addition, the developed "Lambda Function" software shows wide range of application possibilities when developing and researching the test functions for other related applications.

Pages: 7 to 12

Copyright: Copyright (c) IARIA, 2017

Publication date: November 12, 2017

Published in: conference

ISSN: 2308-4499

ISBN: 978-1-61208-599-9

Location: Barcelona, Spain

Dates: from November 12, 2017 to November 16, 2017