The Laws of Combat? Lanchester Reexamined

Lepingwell, John W.R.

doi:10.2307/2538918

Cited by 45 publications

(12 citation statements)

References 22 publications

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“…This rule reflects what is largely still called a modified or generalized Lanchester model (Adams and Mesterton-Gibbons, 2003;Plowes and Adams, 2005;Tanner, 2006), although it is now becoming known that Lanchester's laws (Lanchester, 1956;Kingman, 2002;Lepingwell, 1987) were independently discovered by Osipov (Helmbold, 1993;Osipov, 1995).…”

Section: Synergy Rulesmentioning

confidence: 79%

Models of coalition or alliance formation

Mesterton‐Gibbons

Gavrilets

Gravner

et al. 2011

Journal of Theoretical Biology

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Section: Synergy Rulesmentioning

confidence: 79%

Models of coalition or alliance formation

Mesterton‐Gibbons

Gavrilets

Gravner

et al. 2011

Journal of Theoretical Biology

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“…For example, if the numbers mentioned above for the Battle of Talana are substituted in (8). and {7) is also used, we obtain the values We emphasise that our analysis does not extend to the entire QJM.…”

Section: Aspects Of the Quantified Judgment Methodsmentioning

confidence: 99%

“…Although the theory of Lanchester equations has developed tremendously [11), and even though they are often used in war games [5), there are serious doubts about the applicability of these equations to real battles [5,8). Dupuy discusses some of these doubts in "Understanding War" [3) and proposes a variation that might be an improvement on the original equations.…”

Section: A New Square Lawmentioning

confidence: 99%

“…In the third place we cannot condone the way in which force strengths have been aggregated in equation ( 1 5). In their careful analyses of the intent of Lanchester's original equations, Lepingwell [8] and Homer-Dixon [6] point out the dangers involved in such aggregation. The main reasons for their concern are that the aggregated force strengths represent the destructive potential of weapons but do not incorporate any estimate of their vulnerability, and that the aggregation of heterogeneous forces violates the basic assumption of force homogeneity in the derivation of the Lanchester equations.…”

Section: A New Square Lawmentioning

confidence: 99%

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A note on Dupuy's QJM and new square law

Geldenhuys¹,

Botha²

2003

ORiON

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SOUTH AFRICA T.N. Dupuy has developed various operations research models in an attempt to quantify lessons that can be learned from military history. We discuss two of his models, the Quantified Judgment Model (QJM), and the "new square law". The QJM was developed by Dupuy for the analysis of military operations. We point out mathematical discrepancies in a part of the model and make suggestions to remove these discrepancies. Dupuy's new square law is an attempt to modify the well-known Lanchester equations for aimed fire, taking into account some results that were obtained in the OJM. We show that the new square law cannot be accepted as a valid mathematical model of combat attrition.

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“…Lanchester's models developed a life of their own in the 20th century (see for example [8, 22, 25, 29, 35]). However, attempts to fit them to historical data have had mixed success.…”

Section: Introductionmentioning

confidence: 99%

Lanchester models and the battle of Britain

Johnson

MacKay

2011

Naval Research Logistics

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Abstract:We fit deterministic generalized Lanchester models to daily sortie and loss data from the Battle of Britain. The best fit for the period 14th August to 30th October 1940 is δB ∼ G 1.2 , δG ∼ G 0.9 , where B and G are RAF Fighter Command and Luftwaffe sortie numbers, and δB and δG are daily loss numbers, respectively. The data naturally divide into two phases, with losses (as a proportion of overall sortie numbers) much reduced after 15th September. Fits were generally better for the first phase than for the second, and for British losses than for German; in every case the dependence on G is stronger than that on B. Days with higher sortie numbers on average favored the Luftwaffe, whereas the loss-ratio was not significantly dependent on the force ratio.

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The Laws of Combat? Lanchester Reexamined

Cited by 45 publications

References 22 publications

Models of coalition or alliance formation

Models of coalition or alliance formation

A note on Dupuy's QJM and new square law

Lanchester models and the battle of Britain

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