• Management Science and Financial Engineering
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• 제19권2호
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• pp.31-36
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• 2013

We propose a war-game model that is appropriate for a raid-type warfare in which, a priori, the maneuver of the attacker is relatively certain. The model is based on a multi-weapon extention of the Lanchester's law. Instead of a continuous time dynamic game with the differential equations from the Lanchester's law, however, we adopt a multi-period model relying on a time-discretization of the Lanchester's law. Despite the obvious limitation that two players make a move only on the discrete time epochs, the pragmatic model has a manifold justification. The existence of an equilibrium is readily established by its equivalence to a finite zero-sum game, the existence of whose equilibrium is, in turn, well-known to be no other than the LP-duality. It implies then that the war-game model dictates optimal strategies for both players under the assumption that any strategy choice of each player will be responded by a best strategy of her opponent. The model, therefore, provides a sound ground for finding an efficient reinforcement of a defense system that guarantees peaceful equilibria.

• 항공우주시스템공학회지
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• 제11권6호
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• pp.50-55
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• 2017

본 논문은 란체스터 방정식을 이용하여 우리의 무인전투기(블루군)과 적 무인전투기(레드군) 간의 교전 결과를 예측하였다. 란체스터 법칙은 군단의 전력이 전투원 수에 비례한다는 제1법칙(linear law)과 전투원 수의 제곱에 비례한다는 제2법칙(square law)가 있다. 제1법칙은 게릴라전에 적합한 법칙이고 제2법칙은 전면전에 적합한 법칙으로 알려져 있으며 일반적으로 제2법칙이 많이 쓰인다. 란체스터의 제2법칙을 이용하여 교전 결과를 예측하였다. 교전에서 승리하기 위한 전투손실률 값은 물론 필요 전력수를 추산하였고, 우리 군의 피해를 1대 미만으로 만들기 위한 전력수도 예측하였다. 적 무인전투기와 아군 무인전투기의 전투 대수가 같을 경우 승리를 보장받으려면 전투손실률이 1:1.5 이상이 되어야 한다.

• 산업경영시스템학회지
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• 제46권4호
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• pp.263-271
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• 2023

In the (3,3) close combat model based on the Lanchester Square Law, this study proposes a plan to optimally allocate residual combat power after the battle to other battlefields. As soon as the two camps of three units can grasp each other's information and predict the battle pattern immediately after the battle began, the Time Zero Allocation of Force (TZAF) scenario was used to initially allocate combat power to readjust the combat model. It reflects travel time, which is a "field friction" in which physical distance exists from battlefields that support combat power to battlefields that are supported. By developing existing studies that try to examine the effect of travel time on the battlefield through the combat model, this study forms a (3,3) combat model, which is a large number of minimum units. In order to achieve the combat purpose, the principle of optimal combat force operation is presented by examining the aspect that support combat power is allocated to the two battlefields and the consequent battle results. Through this, various scenarios were set in consideration of the travel time and the situation of the units, and differentiated results were obtained. Although the most traditional, it can be used as the basic logic of the training or the commander's decision-making system using the actual war game model.

• 한국경영과학회지
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• 제38권4호
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• pp.1-9
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• 2013

We propose a heuristic algorithm for war-game model that is appropriate for warfare in which the maneuver of the attacker is relatively certain. Our model is based on a multi-weapon extention of the Lanchester's square law. However, instead of dealing with the differential equations, we use a multi-period linear approximation which not only facilitates a solution method but also reflects discrete natures of warfare. Then our game model turns out to be a continuous game known to have an ${\varepsilon}$-Nash equilibrium for all ${\varepsilon}{\geq}0$. Therefore, our model approximates an optimal warfare strategies for both players as well as an efficient reinforcement of area defense system that guarantees a peaceful equilibrium. Finally, we report the performance of a practical best-response type heuristic for finding an ${\varepsilon}$-Nash equilibrium for a real-scale problem.

• 경영과학
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• 제22권2호
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• pp.135-145
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• 2005

The recent notion of Network Centric Warfare (NCW) emphasizes the ability to distribute the right information at the right time to maximize the combat effectiveness. Accordingly, in the modern combat system, the importance of non-physical elements, such as a communication system, is increasing. However, an NCW-support communication network system is expensive. Therefore, it is essential to develop a proper combat system evaluation method to establish an efficient NCW-support combat system. Traditionally, combat system effectiveness is measured in terms of physical elements such as men and fire power, Obviously, such method is hardly applicable to a modern combat system. To overcome this difficulty, we propose an evaluation model based on CA (Cellular Automata) simulation. A set of preliminary combat simulations show that CA simulation may be promising in evaluating non-physical element of a modern combat system.