• Title/Summary/Keyword: two-dimensional search

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An Integer Ambiguity Resolution Method for GPS Attitude Determination (GPS를 이용한 자세 측정 시스템의 미지정수 결정기법)

  • 박찬식;김일선
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.1
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    • pp.62-68
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    • 1999
  • The attitude of a vehicle can be precisely determined using GPS carrier phase measurements from more than two antennas attached to a vehicle and an efficient integer ambiguity resolution technique. Many methods utilizing the known baseline length as a constraint of independent elements of integer ambiguities are proposed to resolve integer ambiguity at real time. Three-dimensional search space is reduced to two-dimensional search space with this constraint. Thus the true integer ambiguity can be easily determined with less computational burden and fewer number of measurements. But there are still strong requirements for the real time integer ambiguity resolution, which uses single epoch measurement of long baseline. In this paper, a new constraint from the geometry of multiple baselines is derived. With this new constraint, two-dimensional search space is further reduced to one-dimensional search space. It makes possible to determine integer ambiguity with single epoch measurement. The proposed method is applied to real data to show its effectiveness.

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Applying a Tabu Search Approach for Solving the Two-Dimensional Bin Packing Problem (타부서치를 이용한 2차원 직사각 적재문제에 관한 연구)

  • Lee Sang-Heon;Lee Jeong-Min
    • Korean Management Science Review
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    • v.22 no.1
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    • pp.167-178
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    • 2005
  • The 2DBPP(Two-Dimensional Bin Packing Problem) is a problem of packing each item into a bin so that no two items overlap and the number of required bins is minimized under the set of rectangular items which may not be rotated and an unlimited number of identical .rectangular bins. The 2DBPP is strongly NP-hard and finds many practical applications in industry. In this paper we discuss a tabu search approach which includes tabu list, intensifying and diversification Strategies. The HNFDH(Hybrid Next Fit Decreasing Height) algorithm is used as an internal algorithm. We find that use of the proper parameter and function such as maximum number of tabu list and space utilization function yields a good solution in a reduced time. We present a tabu search algorithm and its performance through extensive computational experiments.

One-Dimensional Search Location Algorithm Based on TDOA

  • He, Yuyao;Chu, Yanli;Guo, Sanxue
    • Journal of Information Processing Systems
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    • v.16 no.3
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    • pp.639-647
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    • 2020
  • In the vibration target localization algorithms based on time difference of arrival (TDOA), Fang algorithm is often used in practice because of its simple calculation. However, when the delay estimation error is large, the localization equation of Fang algorithm has no solution. In order to solve this problem, one dimensional search location algorithm based on TDOA is proposed in this paper. The concept of search is introduced in the algorithm. The distance d1 between any single sensor and the vibration target is considered as a search variable. The vibration target location is searched by changing the value of d1 in the two-dimensional plane. The experiment results show that the proposed algorithm is superior to traditional methods in localization accuracy.

A TWO-DIMENSIONAL MAXIMUM SEARCH MEHHOD BY A GLOBAL PRIORITY STRATEGY WITH LOCAL PEAK ESTIMATION:ITS OPTIMAL SWITCHING CRITERION

  • Wakasugi, Yoshizumi;Yasuda, Genichi;Shin, Seiichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.488-491
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    • 1995
  • The paper presents a new global maximum search method for multimodal unknown functions of two variables. The search method is composed of two stages and sequentially samples the candidate point in a subdomain selected using a priority function in each stage. The search domain is auto-similarly divided into triangular subdomains, or cells, during the search process. A measure of accuracy of local maximum search is introduced to check if a local search has converged to a specified accuracy or the maximum of a local peak cannot be the global maximum. A criterion for switching from the first to the second stage, is proposed using a ratio of the observed peak width to the largest cell in the domain. By numerical simulations, the required number of trials is evaluated for some function models with different peak parameters, and the switching criterion is optimally determined. The results show that the proposed method obtains global maximum points with certainty and saves largely computation time even for functions with extremely steep peaks.

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A Two-Dimensional Binary Prefix Tree for Packet Classification (패킷 분류를 위한 이차원 이진 프리픽스 트리)

  • Jung, Yeo-Jin;Kim, Hye-Ran;Lim, Hye-Sook
    • Journal of KIISE:Information Networking
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    • v.32 no.4
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    • pp.543-550
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    • 2005
  • Demand for better services in the Internet has been increasing due to the rapid growth of the Internet, and hence next generation routers are required to perform intelligent packet classification. For a given classifier defining packet attributes or contents, packet classification is the process of identifying the highest priority rule to which a packet conforms. A notable characteristic of real classifiers is that a packet matches only a small number of distinct source-destination prefix pairs. Therefore, a lot of schemes have been proposed to filter rules based on source and destination prefix pairs. However, most of the schemes are based on sequential one-dimensional searches using trio which requires huge memory. In this paper, we proposea memory-efficient two-dimensional search scheme using source and destination prefix pairs. By constructing binary prefix tree, source prefix search and destination prefix search are simultaneously performed in a binary tree. Moreover, the proposed two-dimensional binary prefix tree does not include any empty internal nodes, and hence memory waste of previous trio-based structures is completely eliminated.

A Study on Numerical Optimization Method for Aerodynamic Design (공력설계를 위한 수치최적설계기법의 연구)

  • Jin, Xue-Song;Choi, Jae-Ho;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.2 no.1 s.2
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    • pp.29-34
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    • 1999
  • To develop the efficient numerical optimization method for the design of an airfoil, an evaluation of various methods coupled with two-dimensional Naviev-Stokes analysis is presented. Simplex method and Hook-Jeeves method we used as direct search methods, and steepest descent method, conjugate gradient method and DFP method are used as indirect search methods and are tested to determine the search direction. To determine the moving distance, the golden section method and cubic interpolation method are tested. The finite volume method is used to discretize two-dimensional Navier-Stokes equations, and SIMPLEC algorithm is used for a velocity-pressure correction method. For the optimal design of two-dimensional airfoil, maximum thickness, maximum ordinate of camber line and chordwise position of maximum ordinate are chosen as design variables, and the ratio of drag coefficient to lift coefficient is selected as an objective function. From the results, it is found that conjugate gradient method and cubic interpolation method are the most efficient for the determination of search direction and the moving distance, respectively.

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Packet Classification Using Two-Dimensional Binary Search on Length (길이에 대한 2차원 이진검색을 이용한 패킷분류 구조)

  • Mun, Ju-Hyoung;Lim, Hye-Sook
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9B
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    • pp.577-588
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    • 2007
  • The rapid growth of the Internet has stimulated the development of various new applications and services, and the service providers and the Internet users now require different levels of service qualities rather than current best-effort service which treats all incoming packet equally. Therefore, next generation routers should provide the various levels of services. In order to provide the quality of services, incoming packets should be classified into flows according to pre-defined rules, and this should be performed for all incoming packets in wire-speed. Packet classification not only involves multi-dimensional search but also finds the highest priority rule among all matching rules. Area-based quad-trie is a very good algorithm that constructs a two-dimensional trie using source and destination prefix fields. However, it performs the linear search for the prefix length, and hence it does not show very good search performance. In this paper, we propose to apply binary search on length to the area-based quad-trie algorithm. In improving the search performance, we also propose two new algorithms considering the priority of rules in building the trie.

PdR-Tree : An Efficient Indexing Technique for the improvement of search performance in High-Dimensional Data (PdR-트리 : 고차원 데이터의 검색 성능 향상을 위한 효율적인 인덱스 기법)

  • Joh, Beom-Seok;Park, Young-Bae
    • The KIPS Transactions:PartD
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    • v.8D no.2
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    • pp.145-153
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    • 2001
  • The Pyramid-Technique is based on mapping n-dimensional space data into one-dimensional data and expressing it as B-tree ; and by solving the problem of search time complexity the pyramid technique also prevents the effect \"phenomenon of dimensional curse\" which is caused by treatment of hypercube range query in n-dimensional data space. The Spherical Pyramid-Technique applies the pyramid method’s space division strategy, uses spherical range query and improves the search performance to make it suitable for similarity search. However, depending on the size of data and change in dimensions, the two above technique demonstrate significantly inferior search performance for data sizes greater than one million and dimensions greater than sixteen. In this paper, we propose a new index-structured PdR-Tree to improve the search performance for high dimensional data such as multimedia data. Test results using simulation data as well as real data demonstrate that PdR-Tree surpasses both the Pyramid-Technique and Spherical Pyramid-Technique in terms of search performance.

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Application of Tabu Search to the Two-Dimensional Bin Packing Problem (타부서치를 이용한 2차원 직사각 적재문제에 관한 연구)

  • Lee, Sang-Heon
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.311-314
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    • 2004
  • The 2 DBPP(Two-Dimensional Bin Packing Problem) is a problem of packing each item into a bin so that no two items overlap and the number of required bins is minimized under the set of rectangular items which may not be rotated and an unlimited number of identical rectangular bins. The 2 DBPP is strongly NP-hard and finds many practical applications in industry. In this paper we discuss a tabu search approach which includes tabu list, intensifying and diversification strategies. The HNFDH(Hybrid Next Fit Decreasing Height) algorithm is used as an internal algorithm. We find that use of the proper parameter and function such as maximum number of tabu list and space utilization function yields a good solution in a reduced time. We present a tabu search algorithm and its performance through extensive computational experiments.

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Vignetting Dimensional Geometric Models and a Downhill Simplex Search

  • Kim, Hyung Tae;Lee, Duk Yeon;Choi, Dongwoon;Kang, Jaehyeon;Lee, Dong-Wook
    • Current Optics and Photonics
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    • v.6 no.2
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    • pp.161-170
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    • 2022
  • Three-dimensional (3D) geometric models are introduced to correct vignetting, and a downhill simplex search is applied to determine the coefficients of a 3D model used in digital microscopy. Vignetting is nonuniform illuminance with a geometric regularity on a two-dimensional (2D) image plane, which allows the illuminance distribution to be estimated using 3D models. The 3D models are defined using generalized polynomials and arbitrary coefficients. Because the 3D models are nonlinear, their coefficients are determined using a simplex search. The cost function of the simplex search is defined to minimize the error between the 3D model and the reference image of a standard white board. The conventional and proposed methods for correcting the vignetting are used in experiments on four inspection systems based on machine vision and microscopy. The methods are investigated using various performance indices, including the coefficient of determination, the mean absolute error, and the uniformity after correction. The proposed method is intuitive and shows performance similar to the conventional approach, using a smaller number of coefficients.