The massively parallel mixing genetic algorithm for the traveling salesman problem

Autor: Swetha Varadarajan, Darrell Whitley
Rok vydání: 2019
Předmět:
Zdroj: GECCO
Popis: A new evolutionary algorithm called the Mixing Genetic Algorithm is introduced for the Traveling Salesman Problem. The Mixing Genetic Algorithm does not use selection or mutation, and the children replace the parents every generation. The recombination operator is partition crossover. Partition crossover is respectful and transmits alleles (edges); this makes it possible to generate two offspring, the best possible offspring and the worst possible offspring, such that no edges are lost during recombination. The Mixing Genetic Algorithm organizes the population so that better solutions are usually recombined with other good solutions. Because no edges are lost or created during recombination, there is no need to access the evaluation function after the first generation. This dramatically reduces communication costs; this makes it possible to implement the Mixing Genetic Algorithm on massively parallel SIMD machines with limited memory. The Mixing Genetic Algorithm never loses diversity and cannot prematurely converge. We compare the Mixing Genetic Algorithm to EAX, one of the best inexact solvers for the Traveling Salesman Problems. For many problems the Mixing Genetic Algorithm finds optimal solutions using fewer recombinations than EAX.
Databáze: OpenAIRE