• Title/Summary/Keyword: assignment problem

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An Optimal Surveillance Units Assignment Model Using Integer Programming (정수계획법을 이용한 최적 감시장비 배치모형에 관한 연구)

  • 서성철;정규련
    • Journal of the military operations research society of Korea
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    • v.23 no.1
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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.

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A Frequency Assignment Heuristic for the Efficient Deployments of Digital TV Systems (디지털 TV로의 효율적 전환을 위한 주파수할당 근사해법 연구)

  • Paik, Chun-Hyun
    • IE interfaces
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    • v.13 no.4
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    • pp.694-702
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    • 2000
  • For the graceful transition from the analog to digital TV systems, a systematic frequency assignment scheme must be incorporated into the transition planning procedure. In this study, we have studied the frequency assignment methodology for the efficient management of the limited spectrum resources. By applying the graph-theoretic approach, this study developed a new solution method for additional frequency assignment problem whose objective is to assign available frequencies for newly generated requirements (digital TV stations) with minimum reassignment of the preassigned frequencies to LPTV stations while meeting the interference-related constraints. The proposed algorithm can be effectively applied not only to the current digital TV introduction phase but also to the development phase with some further development. This study can be utilized as the basis for the future study on frequency assignments that aims at graceful transition from analog TV to digital TV.

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A Study on Modeling and Algorithm for WDM VWP Network Design (WDM VWP 네트워크 설계 모형 및 알고리즘 연구)

  • Lee, Hee-Sang;Hong, Sung-Pil;Song, Hae-Goo
    • Journal of Korean Institute of Industrial Engineers
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    • v.26 no.4
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    • pp.296-305
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    • 2000
  • Virtual wavelength path (VWP) is the optical path when a wavelength conversion is possible in a wavelength division multiplexing (WDM) network that is transmission infrastructure for the next generation high speed backbone networks. To achieve efficient design for VWP networks, we must consider VWP routing, wavelength assignment, and wavelength conversion while satisfying many technical constraints of the WDM networks. In this study we propose an integrated model for efficient VWP design in WDM networks. We also develope a 3-phase algorithm, each of which deals with routing, wavelength assignment and route and wavelength reassignment, respectively. In our computational experiments, phase 1 algorithm can solve the problem to the optimality for medium size test networks. Phase 2 algorithm is an efficient heuristic based on a reduced layered network and can give us an effective wavelength assignment. Finally, phase 3 algorithm reconfigure VWP routing and its wavelength assignment to concentrate wavelength conversion nodes in the suggested VWP network.

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Integer Programming Approach to Line Optimization of Multiple Surface Mounters (정수계획법에 의한 다수 표면실장기의 라인 최적화)

  • Kim Kyung-Min;Park Tae-Hyoung
    • The Journal of the Korea Contents Association
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    • v.6 no.4
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    • pp.46-54
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    • 2006
  • We propose an optimization method for PCB assembly lines including multiple surface mounters. To increase the productivity of PCB assembly line, the component allocation, feeder assignment, and assembly sequence of each surface mounter should be optimized. The optimization Problem is formulated as an integer programming problem. We divide the overall problem into two hierarchical sub-problems: forward-path problem and backward-path problem. The clustering algorithm and branch-and-bound algorithm are applied to solve the forward-path problem. The assignment algorithm and connection algorithm are applied to solve the backward-path problem. Simulation results are presented to verify the usefulness of the proposed method.

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Reinforcement Learning-based Dynamic Weapon Assignment to Multi-Caliber Long-Range Artillery Attacks (다종 장사정포 공격에 대한 강화학습 기반의 동적 무기할당)

  • Hyeonho Kim;Jung Hun Kim;Joohoe Kong;Ji Hoon Kyung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.45 no.4
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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.

Study on the Solution of the Assignment Model Based on an Asymmetric Cost Function (비대칭 비용함수 기반의 통행배정모형 해석에 관한 연구)

  • Park, Jun-Hwan;Sin, Seong-Il;Im, Yong-Taek
    • Journal of Korean Society of Transportation
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    • v.25 no.6
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    • pp.161-170
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    • 2007
  • The purpose of this study is to find the solution that overcomes the existing assumption of symmetric cost functions in multi-class assignment. In the assignment problem, the assumption of a symmetric cost function means that the link cost is determined by each unique mode and is not affected by any other modes. In this study, the authors have applied a diagonalized algorithm and a heuristic model based on column generation to a multi-class assignment model and analyzed the result. Through the study, the authors found that the diagonalized algorithm produces equilibrium solutions by the initial convergence condition. In contrast to the diagonalized algorithm, the column generation algorithm has improved the solution model to overcome the problem of equilibrium solutions in the diagonalized algorithm.

Automatic Korean to English Cross Language Keyword Assignment Using MeSH Thesaurus (MeSH 시소러스를 이용한 한영 교차언어 키워드 자동 부여)

  • Lee Jae-Sung;Kim Mi-Suk;Oh Yong-Soon;Lee Young-Sung
    • The KIPS Transactions:PartB
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    • v.13B no.2 s.105
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    • pp.155-162
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    • 2006
  • The medical thesaurus, MeSH (Medical Subject Heading), has been used as a controlled vocabulary thesaurus for English medical paper indexing for a long time. In this paper, we propose an automatic cross language keyword assignment method, which assigns English MeSH index terms to the abstract of a Korean medical paper. We compare the performance with the indexing performance of human indexers and the authors. The procedure of index term assignment is that first extracting Korean MeSH terms from text, changing these terms into the corresponding English MeSH terms, and calculating the importance of the terms to find the highest rank terms as the keywords. For the process, an effective method to solve spacing variants problem is proposed. Experiment showed that the method solved the spacing variant problem and reduced the thesaurus space by about 42%. And the experiment also showed that the performance of automatic keyword assignment is much less than that of human indexers but is as good as that of authors.

The Optimal Allocation Model for SAM Using Multi-Heuristic Algorithm : Focused on Aircraft Defense (복합 휴리스틱 알고리즘을 이용한 지대공 유도무기 최적배치 모형 : 항공기 방어를 중심으로)

  • Kwak, Ki-Hoon;Lee, Jae-Yeong;Jung, Chi-Young
    • Journal of the Korean Operations Research and Management Science Society
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    • v.34 no.4
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    • pp.43-56
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    • 2009
  • In korean peninsular, aircraft defense with SAM (Surface-to-Air Missile) is very important because of short range of combat space in depth. Effective and successful defense operation largely depends on two factors, SAM's location and the number of SAM for each target based on missile's availability in each SAM's location. However, most previous papers have handled only the former. In this paper, we developed Set covering model which can handle both factors simultaneously and Multi-heuristic algorithm for solving allocation problem of the batteries and missile assignment problem in each battery. Genetic algorithm is used to decide optimal location of the batteries. To determine the number of SAM, a heuristic algorithm is applied for solving missile assignment problem. If the proposed model is applied to allocation of SAM, it will improve the effectiveness of air defense operations.

A Design of Routing Path and Wavelength Assignment with Fairness in WDM Optical Transport Network (WDM 광전달망에서 공정성을 갖는 경로설계 및 파장할당)

  • 박구현;우재현
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.4
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    • pp.17-35
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    • 1997
  • This paper considers the efficient design of routing path and wavelength assignment in the single-hop WDM optical transport networks. The connection demands between node-pairs are given and a connection between a pair of nodes must be made by only one lightpath. It is assumed that no wavelength conversion is allowed and the physical topology of the network and the number of available wavelengths of a physical link are also given. This paper proposes the method to route a path and assign a wavelength to the path, which guarantees fairness to every node pair. In order to guarantee fairness and maximize connections, an optimization model is established, which successively maximizes minimum connection ratio to the demand of each node pair. A heuristic algorithm with polynomial iterations is developed for the problem since the problem is NP-hard. The heuristic algorithm is implemented and applied to the networks with real problem sizes. The results of the application are compared with GAMS/OSL.

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Assignment Problem Based Vehicle Dispatching for a Semiconductio FAB (반도체 라인 물류시스템에서의 할당문제 기반 차량 배차)

  • Kim, Byung-In;Shin, Jae-Joon;Jeong, Sang-Won
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.525-528
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    • 2006
  • This paper considers the vehicle dispatching problem in the automated material handling system (AMHS) of a large scale semiconductor fabrication line, which consists of 18 bays, 468 equipments and uses more than 130 overhead hoist transporters (OHT). We propose an assignment problem based vehicle dispatching approach to take advantage of simultaneous vehicle reassignment based on up-to-date system status. The proposed approach compares fsvorably with the shortest travel distance first rule and with the reassignment based rule which was recently proposed by the authors, in the number of vehicles required and the average lead time.

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