Attrition models of the Ardennes campaign

This paper revisits the modeling by Bracken of the Ardennes campaign of World War II using the Lanchester equations. It revises and extends that analysis in a number of ways: (1) it more accurately fits the model parameters using linear regression; (2) it considers the data from the entire campaign; and (3) it adds in air sortie data. In contrast to previous results, it concludes by showing that neither the Lanchester linear nor Lanchester square laws fit the data. A new form of the Lanchester equations emerges with a physical interpretation.