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Optimising structure in a networked Lanchester model for fires and manoeuvre in warfare

Optimising structure in a networked Lanchester model for fires and manoeuvre in warfare
Optimising structure in a networked Lanchester model for fires and manoeuvre in warfare
We present a generalisation of the classical Lanchester model for directed fire between two combat forces but now employing networks for the manoeuvre of Blue and Red forces, and the pattern of engagement between the two. The model therefore integrates fires between dispersed elements, as well as manoeuvre through an internal-to-each-side diffusive interaction. We explain the model with several simple examples, including cases where conservation laws hold. We then apply an optimisation approach where, for a fixed-in-structure adversary, we optimise the internal manoeuvre and external engagement structures where the trade-off between maximising damage on the adversary and minimising own-losses can be examined. In the space of combat outcomes this leads to a sequence of transitions from defeat to stalemate and then to victory for the force with optimised networks. Depending on the trade-off between destruction and self-preservation, the optimised networks develop a number of structures including the appearance of so-called sacrificial nodes, that may be interpreted as feints, manoeuvre hubs, and suppressive fires. We discuss these in light of Manoeuvre Warfare theory.
0160-5682
Kalloniatis, Alexander
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Keeley, Hoek
0b40bda7-47a9-4264-8bea-d93df54e068f
Zuparic, Mathew
8391af4c-0b51-4d71-bee4-31e57fc37273
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Kalloniatis, Alexander
8ee212af-cddd-4752-ab7b-f21165c3aaf8
Keeley, Hoek
0b40bda7-47a9-4264-8bea-d93df54e068f
Zuparic, Mathew
8391af4c-0b51-4d71-bee4-31e57fc37273
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7

Kalloniatis, Alexander, Keeley, Hoek, Zuparic, Mathew and Brede, Markus (2020) Optimising structure in a networked Lanchester model for fires and manoeuvre in warfare. Journal of the Operational Research Society.

Record type: Article

Abstract

We present a generalisation of the classical Lanchester model for directed fire between two combat forces but now employing networks for the manoeuvre of Blue and Red forces, and the pattern of engagement between the two. The model therefore integrates fires between dispersed elements, as well as manoeuvre through an internal-to-each-side diffusive interaction. We explain the model with several simple examples, including cases where conservation laws hold. We then apply an optimisation approach where, for a fixed-in-structure adversary, we optimise the internal manoeuvre and external engagement structures where the trade-off between maximising damage on the adversary and minimising own-losses can be examined. In the space of combat outcomes this leads to a sequence of transitions from defeat to stalemate and then to victory for the force with optimised networks. Depending on the trade-off between destruction and self-preservation, the optimised networks develop a number of structures including the appearance of so-called sacrificial nodes, that may be interpreted as feints, manoeuvre hubs, and suppressive fires. We discuss these in light of Manoeuvre Warfare theory.

Text
Optimising structure in a networked Lanchester Model for Fires and Manoeuvre in Warfare JORS(2020) - Accepted Manuscript
Restricted to Repository staff only until 11 March 2021.
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Accepted/In Press date: 6 March 2020
e-pub ahead of print date: 1 June 2020

Identifiers

Local EPrints ID: 438471
URI: http://eprints.soton.ac.uk/id/eprint/438471
ISSN: 0160-5682
PURE UUID: fd8ed131-2c8c-46fa-ba94-09c81221d8e4

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Date deposited: 11 Mar 2020 17:30
Last modified: 06 Oct 2020 22:46

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