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Applying Three Phase Lanchester Linear Model to the Ardennes Campaign

Received: 19 January 2017     Accepted: 20 February 2017     Published: 3 March 2017
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Abstract

We constructed a new Lanchester linear model for the Ardennes Campaign with three phases and Bracken’s tactical factor to obtain an improved goodness of fit with historical data. It indicates that the shift from defense to attack for the Blue force can be better described by adding a deadlock period. Our new model provides an improved explanation for the military operation research to calibrate a better fit between prediction and historical data.

Published in International Journal of Discrete Mathematics (Volume 2, Issue 2)
DOI 10.11648/j.dmath.20170202.14
Page(s) 48-53
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Ardennes Campaign, Bracken’s Tactical Factor, Lanchester Linear Model

References
[1] Clausewitz KV On war. Harmondsworth Penguin Books. New York, 1908, Extracts selected from the English translation by Vom Kriege published in London, 1968.
[2] Sun Tzi (2002). Translated by Ralph D Sawyer, The Art of War, New York, MetroBooks.
[3] Lanchester FW (1916). Aircraft in warfare: The dawn of the fourth arm. Constable, London.
[4] Engel JH (1954). A verification of Lanchester’s Law. Oper. Res. 2: 163-171.
[5] Deitchman SJ (1962). A Lanchester Model of Guerrilla Warfare. Oper. Res. 10: 818-827.
[6] Samz RW (1972). Some comments on Engel’s verification of Lancehser’s Law. Oper. Res. 20 (1): 49-52.
[7] Taylor JG (1983). Lanchester models of warfare. Oper. Res. Society of America, 2 Vols., Arlington, VA.
[8] Helmbold RL (1994). Direct and inverse solution of the Lanchester square law with general reinforcement schedules. Eur. J. Oper. Res. 77: 486–495.
[9] Chen PS, Chu P (2001). Applying Lanchester’s linear law to model the Ardennes Campaign. Nav. Res. Logistics 48: 653-661.
[10] Hung CY, Yang GK, Deng PS, Tang T, Lan SP, Chu P (2005). Fitting Lanchester’s square law to the Ardennes Campaign. J. Oper. Res. Soc. 56: 942-946.
[11] Bracken J (1995). “Lanchester models of Ardennes Campaign. Nav. Res. Logistics 42: 559-577.
[12] Data Memory Systems Inc (1989). The Ardennes Campaign simulation data base (A CSDB). Phase II Final Report.
[13] Yang GK, Hung KC, Julian P (2013). Adopting Lanchester model to the Ardennes campaign with deadlock situation in the shift time between defense and attack. Int. J. Inf. Manag. Sci. 24: 349-362.
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  • APA Style

    Henry Chao, Wen-Han Tang, Ventriloquist Himalaya. (2017). Applying Three Phase Lanchester Linear Model to the Ardennes Campaign. International Journal of Discrete Mathematics, 2(2), 48-53. https://doi.org/10.11648/j.dmath.20170202.14

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    ACS Style

    Henry Chao; Wen-Han Tang; Ventriloquist Himalaya. Applying Three Phase Lanchester Linear Model to the Ardennes Campaign. Int. J. Discrete Math. 2017, 2(2), 48-53. doi: 10.11648/j.dmath.20170202.14

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    AMA Style

    Henry Chao, Wen-Han Tang, Ventriloquist Himalaya. Applying Three Phase Lanchester Linear Model to the Ardennes Campaign. Int J Discrete Math. 2017;2(2):48-53. doi: 10.11648/j.dmath.20170202.14

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  • @article{10.11648/j.dmath.20170202.14,
      author = {Henry Chao and Wen-Han Tang and Ventriloquist Himalaya},
      title = {Applying Three Phase Lanchester Linear Model to the Ardennes Campaign},
      journal = {International Journal of Discrete Mathematics},
      volume = {2},
      number = {2},
      pages = {48-53},
      doi = {10.11648/j.dmath.20170202.14},
      url = {https://doi.org/10.11648/j.dmath.20170202.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170202.14},
      abstract = {We constructed a new Lanchester linear model for the Ardennes Campaign with three phases and Bracken’s tactical factor to obtain an improved goodness of fit with historical data. It indicates that the shift from defense to attack for the Blue force can be better described by adding a deadlock period. Our new model provides an improved explanation for the military operation research to calibrate a better fit between prediction and historical data.},
     year = {2017}
    }
    

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    T1  - Applying Three Phase Lanchester Linear Model to the Ardennes Campaign
    AU  - Henry Chao
    AU  - Wen-Han Tang
    AU  - Ventriloquist Himalaya
    Y1  - 2017/03/03
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    DO  - 10.11648/j.dmath.20170202.14
    T2  - International Journal of Discrete Mathematics
    JF  - International Journal of Discrete Mathematics
    JO  - International Journal of Discrete Mathematics
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    PB  - Science Publishing Group
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    AB  - We constructed a new Lanchester linear model for the Ardennes Campaign with three phases and Bracken’s tactical factor to obtain an improved goodness of fit with historical data. It indicates that the shift from defense to attack for the Blue force can be better described by adding a deadlock period. Our new model provides an improved explanation for the military operation research to calibrate a better fit between prediction and historical data.
    VL  - 2
    IS  - 2
    ER  - 

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Author Information
  • Department of Traffic, Central Police University, Taoyuan, Taiwan

  • Veteran Army Colonel, Kaohsiung, Taiwan

  • Department of Traffic, Central Police University, Taoyuan, Taiwan

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