• 한국군사과학기술학회지
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• 제13권1호
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• pp.1-8
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• 2010

This paper presents global and optimal solution for weapon assignment problems using the Munkres assignment algorithm. We propose a new modeling method of weapon assignment problems concerning some constraints of weapon systems. In this paper, we compares the Munkres weapon assignment algorithm with two other algorithms employing a search tree model in terms of computational complexity and performance. One is an optimal algorithm using exhausted search and the other is a greedy algorithm which selects the first search result as a solution. The experiment results show that the Munkres weapon assignment algorithm has better performance and less computational complexity in comparison with the two other algorithms.

• 한국컴퓨터정보학회논문지
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• 제17권9호
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• pp.139-147
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• 2012

본 논문에서는 할당 문제의 최적해를 간단히 찾을 수 있는 알고리즘을 제안하였다. 일반적으로 할당 문제의 최적해는 Hungarian 알고리즘으로 구한다. 제안된 알고리즘은 Hungarian 알고리즘의 4단계 수행 과정을 1단계로 단축시켰으며, 행과 열의 최소 비용만을 선택하여 비용을 감소시키는 최적화 과정을 거쳐 최적해를 구하였다. 제안된 알고리즘을 27개의 균형 할당 문제와 7개의 불균형 할당 문제에 적용한 결과 유전자 알고리즘으로 찾지 못한 최적해를 찾는데 성공하였다. 제안된 알고리즘은 Hungarian 알고리즘의 수행 복잡도 O($n^3$)을 O(n)으로 향상시켰다. 따라서 제안된 알고리즘은 Hungarian 알고리즘을 대체하여 할당 문제에 일반적으로 적용할 수 있는 알고리즘으로 널리 활용될 수 있을 것이다.

• 전자공학회논문지A
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• 제32A권9호
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• pp.1167-1176
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• 1995

This paper suggests a method for optimal power assignment of the satellite transponder input carriers in the Multi-level & Multi-bandwidth system. The interference and the noise effects analyzed for the optimal power assignment are intermodulation product caused by the nonlinear transponder characteristics, adjacent channel interference, co-channel interference, and thermal noise in the satellite link. The Fletcher- Powell algorithm is used to determine the optimal input carrier power. The performance criteria for optimal power assignment is classified into 4 categories according to the CNR of destination receiver earth station to meet the requirement for various satellite link environment. We have performed mathematical analysis of objective functions and their derivatives for use in the Fletcher-Powell algorithm, and presented various simulation results based on mathematical analysis. Since the satellite link, it is meaningful to model and analyze these effects in a unified manner and present the method for optimal power assignment of transponder input carriers.

• 한국컴퓨터정보학회논문지
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• 제21권1호
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• pp.131-138
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• 2016

In this paper, we propose a simple linear bottleneck assignment problems (LBAP) algorithm to find the optimal solution. Generally, the LBAP has been solved by threshold or augmenting path algorithm. The primary characteristic of proposed algorithm is derived the optimal solution of LBAP from linear sum assignment problem (LSAP). Firstly, we obtains the solution for LSAP from the selected minimum cost of rows and moves the duplicated costs in row to unselected row with minimum increasing cost in direct and indirect paths. Then, we obtain the optimal solution of LBAP according to the maximum cost of LSAP can be move to less cost. For the 29 balanced and 7 unbalanced problem, this algorithm finds optimal solution as simple.

• 한국컴퓨터정보학회논문지
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• 제20권8호
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• pp.105-112
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• 2015

Generally, the optimal solution of assignment problem has been obtained by Hungarian algorithm with O($n^3$) time complexity. This paper proposes more simple algorithm with O($n^2$) time complexity than Hungarian algorithm. The proposed algorithm simply selects minimum cost in each row, and classified into set S, H, and T. Then, the minimum cost is moved from S to T and $S{\rightarrow}H$, $H{\rightarrow}T$. The proposed algorithm can be obtain the same optimal solution as well-known algorithms and improve the optimal solution of partial unbalanced assignment problems.

• 한국컴퓨터정보학회논문지
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• 제20권12호
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• pp.75-82
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• 2015

Generally, the optimal solution of assignment problem can be obtained by Hungarian algorithm of two-sided optimization with time complexity $O(n^4)$. This paper suggests one-sided optimal assignment and swap optimization algorithm with time complexity $O(n^2)$ can be achieve the goal of two-sided optimization. This algorithm selects the minimum cost for each row, and reassigns over-assigned to under-assigned cell. Next, that verifies the existence of swap optimization candidates, and swap optimizes with ${\kappa}-opt({\kappa}=2,3)$. For 27 experimental data, the swap-optimization performs only 22% of data, and 78% of data can be get the two-sided optimal result through one-sided optimal result. Also, that can be improves on the solution of best known solution for partial problems.

• 한국국방경영분석학회지
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• 제23권1호
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• pp.14-24
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• 1997

This study is to develop an optimal surveillance units assignment model in order to obtain the maximized surveillance efficiency with the limited surveillance units. There are many mathematical models which deal with problems to assign weapons such as aircrafts, missiles and guns to targets. These models minimize the lost required to attack, the threat forecast from the enemy, or both of them. However, a problem of the efficient assignment of surveillance units is not studied yet, nevertbless it is important in the battlefield surveillance system. This paper is concerned with the development of the optimal surveillance units assignment model using integer programming. An optimal integer solution of the model can be obtained by using linear programming and branch and bound method.

• 대한산업공학회지
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• 제25권2호
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• pp.274-281
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• 1999

In this paper, we determine the required storage capacity of a unit-load automated storage/retrieval system(AS/RS) under random storage assignment(RAN) and n-class turnover-based storage assignment(CN) policies. For each of the storage policies, an analytic model to determine the optimal storage capacity of the AS/RS is formulated so that the total cost related to storage space and space shortage is minimized while satisfying a desired service level. A closed form of optimal solutions for the RAN policy is derived from the model. For the CN policy, an optimal storage capacity is shown to be determined by applying the existing iterative search algorithm developed for the full turnover-based storage(FULL) policy. Finally, an application of the approach to the standard economic-order-quantity inventory model is provided.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회/대한산업공학회 2003년도 춘계공동학술대회
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• pp.402-408
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• 2003

Now many major airports in the world which operate strategic alliance or Hub & Spoke system have met capacity restriction and confusion problems. And the time and the walking distance for boarding to flight are important standard to measure customer convenience. And the effective gate assignment guarantees customers convenience as well as increasing airport capacity without expanding established airport equipments. So it can be a major concern to manage airports. So this paper formulate gate assignment problem in the hub airport not quadratic assignment problem but a improved single-period integer problem which is minimize local and transit passengers I walking distance. As a result, this study will present a method producing optimal gate assignment result using optimization software. We use real flights and gates data in the national airport, so we will compare a assignment results with a real airport assignment results and previous researches and analyze those results.

• 한국인터넷방송통신학회논문지
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• 제13권5호
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• pp.163-171
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• 2013

본 논문은 할당 문제의 최적해를 간단히 찾을 수 있는 알고리즘을 제안하였다. 일반적으로 할당 문제의 최적해는 Hungarian 알고리즘으로 구한다. 제안된 알고리즘은 Hungarian 알고리즘의 4단계 수행 과정을 2단계로 단축시켰다. 첫 번째로, 행렬의 최소 비용을 선택하고 행과 열의 값을 삭제하는 과정을 거쳐 초기 할당을 수행하였다. 두 번째로 할당을 조정하는 과정을 수행하였다. 제안된 알고리즘을 27개의 균형 할당 문제와 7개의 불균형 할당 문제에 적용한 결과 Genetic 알고리즘으로 찾지 못한 최적해를 찾는데 성공하였다. 따라서 제안된 알고리즘은 Hungarian 알고리즘을 대체하여 일반적으로 적용할 수 있을 것이다.