• 한국인터넷방송통신학회논문지
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• 제19권2호
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• pp.221-227
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• 2019

무기 목표물 배정 문제는 지금까지 다항시간 알고리즘이 제안되지 않는 NP-hard 문제로 알려져 왔다. 그럼에도 불구하고, 본 문제에 대해 가능한 모든 경우수를 검증하는 Brute-Force 법이나 분기한정법으로 최적 해를 구하거나 유전자 알고리즘, 입자군 최적화 등의 인공지능 방법으로 근사 해를 구하는 방법들이 제안되고 있다. 본 논문에서는 단지 무기의 총 대수 k, 무기 종류 수 m, 목표물 개수 n에 대해 O(mn)을 k회 수행하는 O(kmn) 다항시간으로 최적 해를 구하는 알고리즘을 제안하였다. 제안된 알고리즘은 Brute-Force 법에 비해 수행횟수를 최소화 시킬 뿐 아니라 최적해도 구하는 장점을 갖고 있다.

• 한국정보통신학회논문지
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• 제1권2호
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• pp.183-191
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• 1997

동시 다발적으로 공격해 오는 위협 표적을 방어하기는 매우 어려우며, 특히 방어용 무장수보다 표적의 수가 많을 경우에는 전체 표적 격추 기대 확률이 최대가 될 수 있도록 유지하는 방법으로서 본 논문에서는 홉필드 신경망 기법을 무장 할당 알고리즘으로 이용하는 방안을 제안하였다. 본 연구는 자동무장할당 알고리즘을 설계함에 있어서 할당변수를 생성하는데 필요한 신경망 학습 횟수를 단축하도록 설계하였으며 컴퓨터 시뮬레이션 결과 watcholder의 방법보다 수렴성이 뛰어남을 확인하였다.

• 한국항공우주학회지
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• 제47권11호
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• pp.787-794
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• 2019

본 논문에서는 다수 이종 근접 방어 시스템(Closed-In Weapon System, CIWS)의 최적 무장 할당 문제를 제시하고, 이를 혼합정수선형계획법(Mixed Integer Linear Programming, MILP)으로 변형해 해결하는 기법을 제안한다. 일반적인 무장 할당 문제의 경우 다양한 경우의 수를 고려해야하기 때문에 계산 시간이 기하급수적으로 증가하는 경우가 잦다. 하지만 주어진 문제를 MILP와 같은 혼합정수 최적화 문제로 변형하면 준실시간 내에 전역 최적해를 찾을 수 있다. 본 논문에서는 다수 위협이 각각 다른 시점에 다른 방향에서 방어 자산을 공격하는 상황을 고려한다. 또한, 제원이 다른 다수 CIWS를 동시 운용하는 경우를 추가로 고려한다. 본 논문에서는 이와 같은 문제 상황을 비선형 혼합정수계획 문제로 정식화하고, 이를 MILP로 변형하는 기법을 제시하였다. 또한, 이를 상용 최적화 프로그램으로 구현해 최적화 성능을 검증하였다.

• 산업경영시스템학회지
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• 제42권1호
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• pp.143-150
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• 2019

We focus on the weapon target assignment and fire scheduling problem (WTAFSP) with the objective of minimizing the makespan, i.e., the latest completion time of a given set of firing operations. In this study, we assume that there are m available weapons to fire at n targets (> m). The artillery attack operation consists of two steps of sequential procedure : assignment of weapons to the targets; and scheduling firing operations against the targets that are assigned to each weapon. This problem is a combination of weapon target assignment problem (WTAP) and fire scheduling problem (FSP). To solve this problem, we define the problem with a mixed integer programming model. Then, we develop exact algorithms based on a dynamic programming technique. Also, we suggest how to find lower bounds and upper bounds to a given problem. To evaluate the performance of developed exact algorithms, computational experiments are performed on randomly generated problems. From the results, we can see suggested exact algorithm solves problems of a medium size within a reasonable amount of computation time. Also, the results show that the computation time required for suggested exact algorithm can be seen to increase rapidly as the problem size grows. We report the result with analysis and give directions for future research for this study. This study is meaningful in that it suggests an exact algorithm for a more realistic problem than existing researches. Also, this study can provide a basis for developing algorithms that can solve larger size problems.

• 한국국방경영분석학회지
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• 제36권3호
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• pp.29-42
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• 2010

운용과학의 군사 응용 분야 중 하나인 무장-표적 할당문제는 NP-complete 문제로 알려져 있어 주어진 시간내에 최적해를 구할 수 없으므로 휴리스틱 방법에 의해 빠른 시간 내에 우수한 해를 구하는 것이 더 의미가 있다. 본 연구에서는 보다 효율적으로 해를 도출할 수 있는 방법을 개발하기 위해 전형적인 문제를 재구성하여 단순화 시켰다. 이러한 문제 하에서 두가지 유전자 알고리즘인 표적번호 표현 방법과 순열 표현방법을 비교하였고, 구성적 휴리스틱, 향상적 휴리스틱들을 개발하여 비교하였다. 무장의 파괴확률 간에 이행성 규칙이 존재하는 경우를 대상으로 실험을 수행한 결과 구성적 휴리스틱의 해를 초기해로 하여 교환에 기초한 향상적 계산 시간이나 해의 질 측면에서 가장 우수한 해를 생성하였다. 그러나, 구성적 휴리스틱의 효율성은 무장 성능 간 이행성 규칙에 민감한 결과를 나타내었다.

• 한국경영과학회지
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• 제41권3호
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• pp.23-36
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• 2016

We consider a model that minimizes the total cost incurred by assigning available weapons to existing targets in order to reduce enemy threats, which is called the weapon target assignment problem (WTAP). This study addresses the stochastic versions of WTAP, in which data, such as the probability of destroying a target, are given randomly (i.e., data are identified with certain probability distributions). For each type of random data or parameter, we provide a stochastic optimization model on the basis of the expected value or scenario enumeration. In particular, when the probabilities of destroying targets depending on weapons are stochastic, we present a stochastic programming formulation with a simple recourse. We show that the stochastic model can be transformed into a deterministic equivalent mixed integer programming model under a certain discrete probability distribution of randomness. We solve the stochastic model to obtain an optimal solution via the mixed integer programming model and compare this solution with that of the deterministic model.

• 산업경영시스템학회지
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• 제45권4호
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• pp.42-52
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• 2022

North Korea continues to upgrade and display its long-range rocket launchers to emphasize its military strength. Recently Republic of Korea kicked off the development of anti-artillery interception system similar to Israel's "Iron Dome", designed to protect against North Korea's arsenal of long-range rockets. The system may not work smoothly without the function assigning interceptors to incoming various-caliber artillery rockets. We view the assignment task as a dynamic weapon target assignment (DWTA) problem. DWTA is a multistage decision process in which decision in a stage affects decision processes and its results in the subsequent stages. We represent the DWTA problem as a Markov decision process (MDP). Distance from Seoul to North Korea's multiple rocket launchers positioned near the border, limits the processing time of the model solver within only a few second. It is impossible to compute the exact optimal solution within the allowed time interval due to the curse of dimensionality inherently in MDP model of practical DWTA problem. We apply two reinforcement-based algorithms to get the approximate solution of the MDP model within the time limit. To check the quality of the approximate solution, we adopt Shoot-Shoot-Look(SSL) policy as a baseline. Simulation results showed that both algorithms provide better solution than the solution from the baseline strategy.

• 한국군사과학기술학회지
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• 제20권4호
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• pp.566-578
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• 2017

For optimizing the operation plan when strike packages attack multiple targets, this article suggests a new mathematical model and a parallel hybrid genetic algorithm (PHGA) as a solution methodology. In the model, a package can assault multiple targets on a sortie and permitted the use of mixed munitions for a target. Furthermore, because the survival probability of a package depends on a flight route, it is formulated as a mixed integer programming which is synthesized the models for vehicle routing and weapon-target assignment. The hybrid strategy of the solution method (PHGA) is also implemented by the separation of functions of a GA and an exact solution method using ILOG CPLEX. The GA searches the flight routes of packages, and CPLEX assigns the munitions of a package to the targets on its way. The parallelism enhances the likelihood seeking the optimal solution via the collaboration among the HGAs.

• 한국국방경영분석학회지
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• 제17권1호
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• pp.159-176
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• 1991

The probability of target survival is the most important factor in the target assignment, Most of the studies about it have assumed the case of one target and ane weapon type. Therefore, they can not be applied to the real situation. In this paper. the quantity and type of enemy assets of the friendly force are considered simultaneously. Considered defense type is the coordinated defense with no impact point prediction. The objective function is to minimize the expected total survival value of targets which are scattered in the defense area. The rules of aircraft assignment are as follows : first, classify targets into several groups, each of those has the same desired damage level secondly. select the critical group which has the least survival value in accordance with the additional aircraft assignment, and finally. assign the same number of attack assets against each target in the critical group. In this paper, the attack assets, the escort assets, and the defense assets are considered. The model is useful to not only the simple aircraft assignment problem but also the complicated wargame models.

• 산업경영시스템학회지
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• 제40권4호
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• pp.260-267
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• 2017

Quantum-inspired Genetic Algorithm (QGA) is a probabilistic search optimization method combined quantum computation and genetic algorithm. In QGA, the chromosomes are encoded by qubits and are updated by quantum rotation gates, which can achieve a genetic search. Asset-based weapon target assignment (WTA) problem can be described as an optimization problem in which the defenders assign the weapons to hostile targets in order to maximize the value of a group of surviving assets threatened by the targets. It has already been proven that the WTA problem is NP-complete. In this study, we propose a QGA and a hybrid-QGA to solve an asset-based WTA problem. In the proposed QGA, a set of probabilistic superposition of qubits are coded and collapsed into a target number. Q-gate updating strategy is also used for search guidance. The hybrid-QGA is generated by incorporating both the random search capability of QGA and the evolution capability of genetic algorithm (GA). To observe the performance of each algorithm, we construct three synthetic WTA problems and check how each algorithm works on them. Simulation results show that all of the algorithm have good quality of solutions. Since the difference among mean resulting value is within 2%, we run the nonparametric pairwise Wilcoxon rank sum test for testing the equality of the means among the results. The Wilcoxon test reveals that GA has better quality than the others. In contrast, the simulation results indicate that hybrid-QGA and QGA is much faster than GA for the production of the same number of generations.