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Semi-Markov Model of a Swarm Functioning

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Advances in Swarm Intelligence (ICSI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10941))

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Abstract

The method of a physical swarm modeling, based on application of semi-Markov process theory to description of swarm unit cyclograms is worked out. It is shown, that ordinary semi-Markov processes with structural states are abstract analogue of units cyclograms. The method of gathering of ordinary semi-Markov processes into M-parallel process and further transformation of it into complex semi-Markov process with functional states is proposed. It is shown that functional states may be obtained as Cartesian product of sets of ordinary semi-Markov processes states. Operation of semi-Markov matrices Cartesian product is introduced. Method of evaluation of elements of complex semi-Markov matrix is worked out.

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Authors and Affiliations

  1. Tula State University, Tula, 300012, Russia

    E. V. Larkin & M. A. Antonov

Authors
  1. E. V. Larkin
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  2. M. A. Antonov
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Correspondence to M. A. Antonov .

Editor information

Editors and Affiliations

  1. Peking University, Beijing, China

    Ying Tan

  2. Southern University of Science and Technology, Shenzhen, China

    Yuhui Shi

  3. Tongji University, Shanghai, China

    Qirong Tang

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Larkin, E.V., Antonov, M.A. (2018). Semi-Markov Model of a Swarm Functioning. In: Tan, Y., Shi, Y., Tang, Q. (eds) Advances in Swarm Intelligence. ICSI 2018. Lecture Notes in Computer Science(), vol 10941. Springer, Cham. https://doi.org/10.1007/978-3-319-93815-8_1

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  • DOI: https://doi.org/10.1007/978-3-319-93815-8_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-93814-1

  • Online ISBN: 978-3-319-93815-8

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