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Journal Cover International Journal of Advanced Mathematical Sciences
  [1 followers]  Follow
  This is an Open Access Journal Open Access journal
   ISSN (Print) 2307-454X - ISSN (Online) 2307-454X
   Published by Science Publishing Corporation Homepage  [12 journals]
  • Machine-coded genetic operators and their performances in floating-point
           genetic algorithms

    • Authors: Mehmet Hakan Satman, Emre Akadal
      Pages: 8 - 19
      Abstract: Machine-coded genetic algorithms (MCGAs) use the byte representation of floating-point numbers which are encoded in the computer memory. Use of the byte alphabet makes classical crossover operators directly applicable in the floating-point genetic algorithms. Since effect of the byte-based mutation operator depends on the location of the mutated byte, the byte-based mutation operator mimics the functionality of its binary counterpart. In this paper, we extend the MCGA by developing new type of byte-based genetic operators including a random mutation and a random dynamic mutation operator. We perform a simulation study to compare the performances of the byte-based operators with the classical FPGA operators using a set of test functions. The prepared software package, which is freely available for downloading, is used for the simulations. It is shown that the byte-based genetic search obtains precise results by carrying out the both exploration and exploitation tasks by discovering new fields of the search space and performing a local fine-tuning. It is also shown that the introduced byte-based operators improve the search capabilities of FPGAs by means of convergence rate and precision even if the decision variables are in larger domains.
      PubDate: 2017-01-25
      Issue No: Vol. 5, No. 1 (2017)
  • An efficient scheme for solving a system of time- fractional order
           differential-algebraic equations by using fractional Laplace iteration

    • Authors: Sameer Hasan, Eman Namah
      Pages: 1 - 7
      Abstract: In this article, we propose an efficient algorithm for solving system of time- fractional differential-algebraic equations by using a fractional Laplace iteration method. The scheme is tested for some examples and the results demonstrate reliability and accuracy of this method.
      PubDate: 2016-12-17
      Issue No: Vol. 5, No. 1 (2016)
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