Utilising the chaos-induced discrete self organising migrating algorithm to solve the lot-streaming flowshop scheduling problem with setup time

Abstract

The Dissipative Lozi chaotic map is embedded in the discrete self organising migrating algorithm (DSOMA), as a pseudorandom generator. This novel chaotic based algorithm is applied to the constraint based lot-streaming flowshop scheduling problem. Two new and unique data sets generated using the Lozi and Delayed Logistic maps are used to compare the chaos embedded DSOMA and the generic DSOMA utilising the venerable Mersenne Twister. In total, 100 data sets were tested by these two algorithms, for the idling and the non-idling case. From the obtained results, the chaos variant algorithm is shown to significantly improve the performance of generic DSOMA.

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Acknowledgments

Donald Davendra was supported by the Technology Agency of the Czech Republic under the Project TE01020197 and Michal Pluhacek was supported by the Internal Grant Agency of Tomas Bata University under the project No. IGA/FAI/2013/012.

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Correspondence to Donald Davendra.

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Communicated by I. Zelinka.

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Davendra, D., Senkerik, R., Zelinka, I. et al. Utilising the chaos-induced discrete self organising migrating algorithm to solve the lot-streaming flowshop scheduling problem with setup time. Soft Comput 18, 669–681 (2014). https://doi.org/10.1007/s00500-014-1219-7

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Keywords

  • Lot-streaming flowshop scheduling
  • Lozi map
  • Delayed Logistic map
  • Discrete Self Organising Migrating algorithm