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A hybrid estimation of distribution algorithm for solving the multi-objective multiple traveling salesman problem

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

The multi-objective multiple traveling salesman problem (MmTSP) is a generalization of the classical multi-objective traveling salesman problem. In this paper, a formulation of the MmTSP, which considers the weighted sum of the total traveling costs of all salesmen and the highest traveling cost of any single salesman, is proposed. An estimation of distribution algorithm (EDA) based on restricted Boltzmann machine is used for solving the formulated problem. The EDA is developed in the decomposition framework of multi-objective optimization. Due to the limitation of EDAs in generating a wide range of solutions, the EDA is hybridized with the evolutionary gradient search. Simulation studies are carried out to examine the optimization performances of the proposed algorithm on MmTSP with different number of objective functions, salesmen and problem sizes.
Original languageEnglish
Title of host publication2012 IEEE Congress on Evolutionary Computation
PublisherIEEE
ISBN (Print)978-1-4673-1509-8
DOIs
Publication statusPublished - Jun 2012
Externally publishedYes
Event2012 IEEE Congress on Evolutionary Computation, CEC 2012 - Brisbane, QLD, Australia
Duration: 10 Jun 2012 → 15 Jun 2012

Conference

Conference2012 IEEE Congress on Evolutionary Computation, CEC 2012
PlaceAustralia
CityBrisbane, QLD
Period10/06/12 → 15/06/12

Research Keywords

  • Decomposition
  • estimation of distribution algorithm
  • evolutionary gradient search
  • hybrid multi-objective optimization
  • multiple traveling salesman problem
  • restricted Boltzmann machine

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