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Porträttbild. Foto.

Carl Troein

Forskare

Porträttbild. Foto.

Perfect edge-transmitting recombination of permutations

Författare

  • Adriaan Merlevede
  • Carl Troein

Summary, in English

Crossover is the process of recombining the genetic features of two parents. For many applications where crossover is applied to permutations, relevant genetic features are pairs of adjacent elements, also called edges in the permutation order. Recombination of edges without errors is thought to be an NP-hard problem, typically approximated by heuristics that either introduce new edges or are only able to produce a small variety of offspring. Here, we derive an algorithm for crossover of permutations that achieves perfect transmission of edges and produces a uniform sampling of all possible offspring, in quadratic average computation time. The algorithm and its derivation reveal a link between cycle crossover (CX) and edge assembly crossover (EAX), offering a new perspective on these well-established algorithms. We also describe a modification of the algorithm that generates the mathematically optimal offspring for the asymmetric travelling salesman problem.

Avdelning/ar

  • Beräkningsbiologi och biologisk fysik - Genomgår omorganisation

Publiceringsår

2020-03-10

Språk

Engelska

Publikation/Tidskrift/Serie

arXiv

Dokumenttyp

Övrigt

Förlag

arXiv.org

Ämne

  • Evolutionary Biology
  • Computer Science

Nyckelord

  • permutation
  • travelling salesman problem
  • TSP
  • crossover
  • transmissive
  • transmission

Status

Published

Projekt

  • Applications and theory of digital evolution