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International Conference on Reachability Problems

RP 2020: Reachability Problems pp 52–66Cite as

Case Study: Reachability and Scalability in a Unified Combat-Command-and-Control Model

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12448))

Abstract

Reachability analysis computes an envelope encompassing the reachable states of a hybrid automaton within a given time horizon. It is known to be a computationally intensive task. In this case study paper, we consider the application of reachability analysis on a mathematical model unifying two key warfighting functions: Combat, and Command-and-Control (C2). Reachability here has a meaning of whether, given a range of initial combat forces and a C2 network and various uncertainties, one side can survive combat with intact forces while the adversary is diminished to zero. These are questions which arise in military Operations Research (OR). This paper is the first to utilize the notions of a hybrid automaton and reachability analysis in the area of OR. We explore the applicability and scalability of Taylor-model based reachability techniques in this domain. Our experiments demonstrate the potential of reachability analysis in the context of OR.

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Notes

  1. 1.

    https://github.com/kpotomkin/ReachabilityBenchmarks.

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Acknowlegements

The authors would like to thank Alexander C. Kalloniatis from Joint and Operations Analysis Division, Defence Science and Technology Group for many productive discussions.

This research was collaboration between the Commonwealth of Australia represented by the Defence Science and Technology Group and Australian National University, where this work was initiated, through a Defence Science Partnerships agreement. The research was conducted under the auspices of the Modelling Complex Warfighting initiative and was supported in part by the Air Force Office of Scientific Research under award number FA2386-17-1-4065. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the United States Air Force.

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Authors and Affiliations

  1. Newcastle University, Newcastle upon Tyne, UK

    Sergiy Bogomolov & Kostiantyn Potomkin

  2. Australian National University, Canberra, Australia

    Sergiy Bogomolov & Kostiantyn Potomkin

  3. Universidad de la República, Montevideo, Uruguay

    Marcelo Forets

Authors
  1. Sergiy Bogomolov
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  2. Marcelo Forets
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  3. Kostiantyn Potomkin
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Correspondence to Kostiantyn Potomkin .

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Editors and Affiliations

  1. Université de Paris, Paris, France

    Sylvain Schmitz

  2. University of Liverpool, Liverpool, UK

    Igor Potapov

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Bogomolov, S., Forets, M., Potomkin, K. (2020). Case Study: Reachability and Scalability in a Unified Combat-Command-and-Control Model. In: Schmitz, S., Potapov, I. (eds) Reachability Problems. RP 2020. Lecture Notes in Computer Science(), vol 12448. Springer, Cham. https://doi.org/10.1007/978-3-030-61739-4_4

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  • DOI: https://doi.org/10.1007/978-3-030-61739-4_4

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