• Title/Summary/Keyword: branch and bound method

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A New Method for Warehouse Location Problem (창고설치문제를 위한 새로운 해법)

  • 박순달
    • Journal of the Korean Operations Research and Management Science Society
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    • v.8 no.1
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    • pp.27-30
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    • 1983
  • The purpose of this paper is to find a new method for the warehouse location problem. Akinc and Khumatvala developed a branch and bound algorithm for a one-stage problem, that is, plants and warehouses are at the same location. This paper extends this method to a two-stage problem, that is, plants, warehouses and users are located at different sites, and further this paper allows direct flows from plants to users. The new method is tested at Perkins-Elmer. The test shows that the algorithm is efficient.

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An Optimal Tool Selection Method for Pocket Machining (포켓형상가공을 위한 최적공구 선정방법)

  • Kyoung, Young-Min;Cho, Kyu-Kab;Jun, Cah-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.7
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    • pp.49-58
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    • 1997
  • In process planning for pocket machining, the selection of tool size, tool path, overlap distance, and the calculation of machining time are very important factors to obtain the optimal process planning result. Among those factors, the tool size is the most important one because the others depend on tool size. And also, it is not easy to determine the optimal tool size even though the shape of pocket is simple. Therefore, the optimal selection of tool size is the most essential task in process planning for machining a pocket. This paper presents a method for selecting optimal toos in pocket machining. The branch and bound method is applied to select the optimal tools which minimize the machining time by using the range of feasible tools and the breadth-first search.

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A Study of Synthesis Algorithm for Component Mapping (콤포넌트 맵핑을 위한 합성 알고리즘에 관한 연구)

  • 김재진;이사원
    • Journal of the Korea Society of Computer and Information
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    • v.3 no.4
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    • pp.44-48
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    • 1998
  • In this paper proposed Component Synthesis Algorithm(CSA) for mapping described HDL to RT component of given library. CSA transform I/O variables of HDL and relation of operators to control/data flow graph(CDFG) that consists of graph, reduce the size of graph, compute the cost, the bound, and the method that use compatibility graph(CG), and then mapping to component. Component synthesis used branch-and-bound algorithm. The result that synthesis using CSA algorithm was proved that this result and the cost of the manual were indentified.

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Optimi Design for R.C. Beam with Discrete Variables (이산형 설계변수를 갖는 철그콘크리트보의 최적설계)

  • 구봉근;한상훈;김홍룡
    • Magazine of the Korea Concrete Institute
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    • v.5 no.4
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    • pp.167-178
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    • 1993
  • The objective of this paper is to look into the possibility of the detailed and practical optimum design of rt:inforced concrete beam using methods oi discrete mathematical programming. In this discrete optimum formulation, the design variables are the overall depth, width and effective depth of members, and area of longitudinal reinforcement. In addition, the details such as the amount of web reinforcement and cutoff points of longitudinal reinforcement are also considered as variables. Total cost has been used as the objective function. The constraints include the code requirments such as flexural strength, shear strength, ductility, serviceability, concrete cover. spacing, web reinforcement, and development length and cutoff points of longitudinal renforcement. An optimization algorithm is presented for effective optimum design of R.C. beam with discrete de sign variables. First, the continuous variable optimization can be achieved by Feasible Direction Method. Using the results obtained from the continuous variable optimization, a branch and bound method is used to obtained the discrete design values. The proposed algorithm is applied to test problem for reliability, and the results are compared with those of graphical method and rounded-up method. And a simply supported R.C. beam and a two-span continuous R.C. beam are presented as numerical examples for effectiveness and applicability. It is considered that the presented algorithm can be effectively applied to the discrete optimum design of R.C. beams.

A study on shortest problem between specified nodes with multiple travel time (다수개의 여행시간이 주어진 경우의 지정된 마디간의 최단경로 문제)

  • 이명석;박순달
    • Korean Management Science Review
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    • v.7 no.2
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    • pp.51-57
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    • 1990
  • The purpose of this thesis is to find the shortest path between two nodes on an acyclic network where the arc costs are determined by the starting time at the starting node of the arc. A branch and bound method for optimal solutions and a heuristic method is developed. In heuristic method Dijkstra algorithm is modified to maintain the minimum arrival times of maximum informations in the each time period at each node and is updated by the result with the insertion technique. Expermetal results among two methods are presented with regard to run time and solution qualities.

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An Optimal Denormalization Method in Relational Database with Response Time Constraint (관계형 데이터베이스에서 응답시간에 제약이 있는 경우 최적 역정규화 방법)

  • 장영관
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.26 no.3
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    • pp.1-9
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    • 2003
  • Databases are central to business information systems and RDBMS is most widely used for the database system. Normalization was designed to control various anomalies (insert, update, delete anomalies). However, normalized database design does not account for the tradeoffs necessary for performance. In this research, I model a database design method considering denormalization of duplicating attributes in order to reduce frequent join processes. This model considers response time for processing each select, insert, update, delete transaction, and for treating anomalies. A branch and bound method is proposed for this model.

A Branch-and-price Algorithm for the Minimum ADM Problem on WDM Ring Networks (WDM 링에서의 ADM 최소화 문제에 대한 분지평가 해법)

  • Chung, Ji-Bok
    • Journal of the Korean Operations Research and Management Science Society
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    • v.32 no.4
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    • pp.51-60
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    • 2007
  • In this study, we consider the minimum ADM problem which is the fundamental problem for the cost-effective design of SONET ADM embedded in WDM ring networks. To minimize the number of SONET ADMs, efficient algorithms for the routing and wavelength assignment are needed. We propose a mathematical model based on the graph theory for the problem and propose a branch-and-price approach to solve the suggested model effectively within reasonable time. By exploiting the mathematical structure of ring networks, we developed polynomial time algorithms for column generation subroutine at branch-and-bound tree. In a computer simulation study, the suggested approach can find the optimal solution for sufficient size networks and shows better performance than the greedy heuristic method.

Degrees of Freedom of Multi-Cell MIMO Interference Broadcast Channels With Distributed Base Stations

  • Huang, Hongbing;Liu, Junyi;Zhang, Yi;Cai, Qing;Zhang, Bowei;Jiang, Fengwen
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.2
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    • pp.635-656
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    • 2019
  • In this paper, we investigate the degrees of freedom (DoF) of a multi-cell multi-user multiple-input multiple-output (MIMO) interference broadcast channel (IBC) with non-cooperation distributed base stations (BS), where each BS serves users of its corresponding cell. When all BSs simultaneously transmit their own signals over the same frequency band in the MIMO IBC, the edge users in each cell will suffer the inter-cell interference (ICI) and inter-user interference (IUI) signals. In order to eliminate the ICI and IUI signals, a distributed space time interference alignment (DSTIA) approach is proposed where each BS has only limited access to distributed moderately-delay channel state information at the transmitter (CSIT). It is shown that the DSTIA scheme can obtain the appreciate DoF gains. In addition, the DoF upper bound is asymptotically achievable as the number of antenna at each BS increases. It is shown that the DSTIA method can get DoF gains over other interference alignment schemes with delayed CSIT in literature. Moreover, the DSTIA method can attain higher DoFs than the IA schemes with global CSIT for certain antenna configurations.

A Lagrangean Relaxation Method of Three-Dimensional Nonguillotine Cutting-Stock Problem (3차원 비길로틴 자재절단문제의 라그랑지안 완화 해법)

  • Kim, Sang-Youl;Park, Soon-Dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.4
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    • pp.741-751
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    • 1996
  • The three dimensional cutting-stock problem is to maximize the total value of pieces which are smaller cubics-cut from a original cubic stock. This paper suggests a method to maximize the total value of different size cut pieces using the orthogonal non-guillotine cut technique. We first formulated a zero-one integer programming, then developed a Lagrangeon relaxation method far the problem. The solutions were given by using a brunch-end-bound technique associates with Lagrangean relaxation, which guarantees an optimal solution.

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Optimal Long-term Transmission Planning Algorithm using Non-linear Branch-and-bound Method (비선형 분산안전법을 이용한 최적장기송전계률 알고리)

  • 박영문;신중린
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.5
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    • pp.272-281
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    • 1988
  • The problem of optimal transmission system planning is to find the most economical locations and time of transmission line construction under the various constraints such as available rights-of-way, finances, the technical characteristics of power system, and the reliability criterion of power supply, and so on. In this paper the constraint of right-of-way is represented as a finite set of available rights-of-way. And the constructed for a unit period. The electrical constraints are represented in terms of line overload and steady state stability margin. And the reliability criterion is dealt with the suppression of failure cost and with single-contingency analysis. In general, the transmission planning problem requires integer solutions and its objective function is nonlinear. In this paper the objective function is defined as a sum of the present values of construction cost and the minimum operating cost of power system. The latter is represented as a sum of generation cost and failure cost considering the change of yearly load, economic dispatch, and the line contingency. For the calculation of operating cost linear programming is adopted on the base of DC load flow calculation, and for the optimization of main objective function nonlinear Branch-and-Bound algorithm is used. Finally, for improving the efficiency of B & B algorithm a new sensitivity analysis algorithm is proposed.