A methodology for optimal deployment and effectiveness evaluation of air defence resources using game theory

Rao, Dushyant; Ravishankar, Monica

doi:10.1007/s12046-020-1293-8

Cited by 9 publications

(6 citation statements)

References 11 publications

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“…Thus, when constructing models for assessing the effectiveness of air defense and missile defense of ground objects [1-4] and a grouping of surface ships [5], the mathematical apparatus of queuing theory [1,5], game theory [2], Petri nets [4], as well as the idea of heterogeneous networks [3] were used.…”

Section: The Condition For Assessing the Adequacy Of Models For Prote...mentioning

confidence: 99%

“…Letʼs also assume a situation in which there is the possibility of an unlimited number of MAA in a blow and an unlimited ammunition load of antiaircraft guided missiles in each SAM subunit. In this case, over some time, all n 0 subunits of the SAM group will be hit, the battle will stop, the mathematical expectations of the battles number and the number of downed MAA will reach their maximum values n fc and n d.MAA : (2) which can be found from (1):…”

Section: The Condition For Assessing the Adequacy Of Models For Prote...mentioning

confidence: 99%

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The Condition for Assessing the Adequacy of Models for Protecting State Infrastructure Objects From Air Blows During Hostilities

Городнов¹,

Ovcharenko²,

Kovalev³

2022

NANGUHAL

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To control the adequacy of the mathematical models for planning and managing the defense against air blows on the covered state infrastructure objects by the most effective means ‒ groupings of surface-to-air missile systems during military operations, an analytical description of the internal law of air defence battles was found. The presence of the noted law in the developed mathematical models can be a criterion for their adequacy to real processes of combat operations and a necessary condition for the models applicability in practice

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Section: The Condition For Assessing the Adequacy Of Models For Prote...mentioning

confidence: 99%

Section: The Condition For Assessing the Adequacy Of Models For Prote...mentioning

confidence: 99%

The Condition for Assessing the Adequacy of Models for Protecting State Infrastructure Objects From Air Blows During Hostilities

Городнов¹,

Ovcharenko²,

Kovalev³

2022

NANGUHAL

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“…According to the composition of the mathematical tools used, the well-known works on modeling the actions of SAM systems for air defense and anti-missile defense can be divided into several categories. Thus, when constructing models for assessing the effectiveness of air defense and missile defense of ground objects [1][2][3][4] and a grouping of surface ships [5], the mathematical apparatus of queuing theory [1,5], game theory [2], Petri nets [4], as well as the idea of heterogeneous networks [3] were used.…”

Section: Preliminaries and Related Workmentioning

confidence: 99%

Inner Law and Models for Forecasting the Results of Air Defense Battle

Городнов

Ovcharenko

2022

AiMT

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The purpose of the article was to find the inner properties and regularities of anti-aircraft missile grouping’s air defense battle, and based on these regularities to develop and evaluate the adequacy of models as tools for forecasting the results of a battle. To achieve the goal, an example of a real battle and a special model development method were used. The method made it possible to identify the main properties and the inner law of battle, to select a statistically valid mathematical modeling tool in the class of Markov processes with continuous time and discrete states, to develop the desired models with an analytical representation of the inner law of battle, to check their adequacy and to evaluate the accuracy of forecasting by models using the example of a real air defense battle.

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“…Rao 19 , et al proposed a static, physics-based methodology based on an iterative algorithm to deploy radar systems to maximise the coverage under various terrain conditions. In this work, the effectiveness of the deployments was evaluated using game theory and simulation techniques.…”

Section: Mathematical Approachesmentioning

confidence: 99%

A Heuristic Methodology for Optimal Deployment of Radar Systems in a Constrained Area of Operation

Saha

Rao

2020

Def. Sc. Jl.

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In emerging network-centric warfare scenarios, the location of sensors in the sensor-grid plays a dominant role in determining the effectiveness of air defence against enemy air threats. Maximising the coverage area of sensors in the sensor-grid, considering operational performance parameters, terrain features and deployability is a challenging task for military operational planners and commanders. Such optimisation problems may not be amenable to classical operations research techniques, or may require enormous computational time to arrive at the results as the decision space grows non-linearly for large areas of operation. In this paper, a novel methodology that uses a heuristic technique (genetic algorithms) to compute the optimal or near-optimal deployment locations for a given set of sensors in a constrained area of operation is proposed. The proposed methodology is illustrated with a number of case studies and a decision support tool is developed as an aid to the military commanders.

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A methodology for optimal deployment and effectiveness evaluation of air defence resources using game theory

Cited by 9 publications

References 11 publications

The Condition for Assessing the Adequacy of Models for Protecting State Infrastructure Objects From Air Blows During Hostilities

The Condition for Assessing the Adequacy of Models for Protecting State Infrastructure Objects From Air Blows During Hostilities

Inner Law and Models for Forecasting the Results of Air Defense Battle

A Heuristic Methodology for Optimal Deployment of Radar Systems in a Constrained Area of Operation

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