Authors: Abid Hussain, Salman A. Cheema
Keywords: Traveling salesman problem, genetic algorithms,
crossover operators, multi-offspring, performance index.
Abstract
This research work provides a detailed working principle and
official analysis of a multi-offspring crossover operator. The pro-
posed operator explains the true theory of survival-of-fittest using
the foundation of evolutionary theories of biology and ecological
theories of mathematics. We found a considerable improvement
because the proposed operator enhances the opportunity of hav-
ing better offspring, which results in highly competitive popu-
lation. Simulation results of this operator with other competi-
tor crossover operators for one of the combinatorial optimization
problems, i.e. traveling salesman problem, are obviously showing
its pros at better accuracy level. Moreover, the t-test and per-
formance index (PI) establishes the improved significance and
accuracy levels of the proposed operator. Preferable results of
this operator not only confirm its advantages over the others,
but also show long run survival of a generation having a number
of offspring more than the number of parents with the help of
mathematical ecology theory.
Abid Hussain
Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan.
E-mail:
Salman A. Cheema
School of Mathematical and Physical Sciences, University of Newcastle, Australia
E-mail:
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