TITLE:
Tensor-Centric Warfare I: Tensor Lanchester Equations
AUTHORS:
Vladimir Ivancevic, Peyam Pourbeik, Darryn Reid
KEYWORDS:
Tensor Modeling of Complex Warfighting, Lanchester-Type Combat Equations, C4ISR Military System
JOURNAL NAME:
Intelligent Control and Automation,
Vol.9 No.2,
May
30,
2018
ABSTRACT: We propose the basis for a rigorous approach to modeling combat, specifically under conditions of complexity and uncertainty. The proposed basis is a tensorial generalization of earlier Lanchester-type equations, inspired by the contemporary debate in defence and military circles around how to best utilize information and communications systems in military operations, including the distributed C4ISR system (Command, Control, Communications, Computing, Intelligence, Surveillance and Reconnaissance). Despite attracting considerable interest and spawning several efforts to develop sound theoretical frameworks for informing force design decision-making, the development of good frameworks for analytically modeling combat remains anything but decided. Using a simple combat scenario, we first develop a tensor generalization of the Lanchester square law, and then extend it to also include the Lanchester linear law, which represents the effect of suppressive fire. We also add on-off control inputs, and discuss the results of a simple simulation of the final model using our small scenario.