Global convergence analysis of the bat algorithm using a markovian framework and dynamical system theory

作者：

Highlights：

• Mathematical analysis of the convergence and stability of the bat algorithm.

• Both Markov chains and dynamical system theory are to prove the convergence.

• The parameter ranges for stability have been identified.

• Numerical simulations are used to confirm the theoretical results.

摘要

•Mathematical analysis of the convergence and stability of the bat algorithm.•Both Markov chains and dynamical system theory are to prove the convergence.•The parameter ranges for stability have been identified.•Numerical simulations are used to confirm the theoretical results.

论文关键词：Bat algorithm,Global convergence,Markov chain theory,Dynamical system theory,Parameters selection,Optimization,Swarm intelligence

论文评审过程：Received 6 March 2018, Revised 13 June 2018, Accepted 16 July 2018, Available online 18 July 2018, Version of Record 31 July 2018.

论文官网地址：https://doi.org/10.1016/j.eswa.2018.07.036