Applying Three Phase Lanchester Linear Model to the Ardennes Campaign

Henry Chao; Wen-Han Tang; Ventriloquist Himalaya

doi:doi:10.11648/j.dmath.20170202.14

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Applying Three Phase Lanchester Linear Model to the Ardennes Campaign

Henry Chao, Wen-Han Tang, Ventriloquist Himalaya

Published in International Journal of Discrete Mathematics (Volume 2, Issue 2)

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), 2024. Published by Science Publishing Group

Keywords

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

References

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[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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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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TY  - JOUR
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
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170202.14
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
SP  - 48
EP  - 53
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20170202.14
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

Henry Chao

Department of Traffic, Central Police University, Taoyuan, Taiwan
Wen-Han Tang

Veteran Army Colonel, Kaohsiung, Taiwan
Ventriloquist Himalaya

Department of Traffic, Central Police University, Taoyuan, Taiwan

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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}
}

Copy | Download

TY  - JOUR
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
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170202.14
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
SP  - 48
EP  - 53
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20170202.14
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  -

Copy | Download