Some properties of nonlinear Lanchester equations with an application in military

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There have been many research literature on traditional direct fire combat modelling. Recently, network centric warfare (NCW) is an active research topic, in which information plays more important role than in the traditional warfare. It can be easily agreed that the use of information affects the combat results greatly. However, it is not straightforward to measure the effect of the information, thus decision making involving the impact of information during combat is a non-trivial task. In this study, we propose a simple model for NCW modified from the original Lanchester differential equation, which can be used as a basic model for analysing characteristics of NCW. We derive some useful properties of the model in a special case. In order to solve the optimal fire allocation decision under this model in general case, we propose an algorithm based on reinforcement learning, followed by numerical examples.
Publisher
TAYLOR FRANCIS LTD
Issue Date
2017-08
Language
English
Article Type
Article
Citation

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, v.87, pp.2470 - 2479

ISSN
0094-9655
DOI
10.1080/00949655.2017.1296441
URI
http://hdl.handle.net/10203/225202
Appears in Collection
IE-Journal Papers(저널논문)
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