• Title/Summary/Keyword: Separation problem

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On the Separation of the Rank-1 Chvatal-Gomory Inequalities for the Fixed-Charge 0-1 Knapsack Problem (고정비용 0-1 배낭문제에 대한 크바탈-고모리 부등식의 분리문제에 관한 연구)

  • Park, Kyung-Chul;Lee, Kyung-Sik
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.2
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    • pp.43-50
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    • 2011
  • We consider the separation problem of the rank-1 Chvatal-Gomory (C-G) inequalities for the 0-1 knapsack problem with the knapsack capacity defined by an additional binary variable, which we call the fixed-charge 0-1 knapsack problem. We analyze the structural properties of the optimal solutions to the separation problem and show that the separation problem can be solved in pseudo-polynomial time. By using the result, we also show that the existence of a pseudo-polynomial time algorithm for the separation problem of the rank-1 C-G inequalities of the ordinary 0-1 knapsack problem.

Classification of Contradiction Relations and their Solving Dimensions based on the Butterfly Model for Contradiction Solving for Physical Contradiction of TRIZ (트리즈의 물리적 모순에 대한 모순해결 나비모형의 모순관계와 해결차원 분류)

  • Hyun, Jung Suk;Park, Chan Jung
    • Knowledge Management Research
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    • v.15 no.4
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    • pp.15-34
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    • 2014
  • Creative problem solving has become an important issue in many fields. Among problems, dilemma need creative solutions. New creative and innovative problem solving strategies are required to handle the contradiction relations of the dilemma problems because most creative and innovative cases solved contradictions inherent in the dilemmas. Among various kinds of problem solving theories, TRIZ provides the concept of physical contradiction as a common problem solving principle in inventions and patents. In TRIZ, 4 separation principles solve the physical contradictions of given problems. The 4 separation principles are separation in time, separation in space, separation within a whole and its parts, and separation upon conditions. Despite this attention, an accurate definitions of the separation principles of TRIZ is missing from the literature. Thus, there have been several different interpretations about the separation principles of TRIZ. The different interpretations make problems more ambiguous to solve when the problem solvers apply the 4 separation principles. This research aims to fill the gap in several ways. First, this paper classify the types of contradiction relations and the contradiction solving dimensions based on the Butterfly model for contradiction solving. Second, this paper compares and analyzes each contradiction relation type with the Butterfly diagram. The contributions of this paper lies in reducing the problem space by recognizing the structures and the types of contradiction problems exactly.

Separation Heuristic for the Rank-1 Chvatal-Gomory Inequalities for the Binary Knapsack Problem (이진배낭문제의 크바탈-고모리 부등식 분리문제에 대한 발견적 기법)

  • Lee, Kyung-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.2
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    • pp.74-79
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    • 2012
  • An efficient separation heuristic for the rank-1 Chvatal-Gomory cuts for the binary knapsack problem is proposed. The proposed heuristic is based on the decomposition property of the separation problem for the fixedcharge 0-1 knapsack problem characterized by Park and Lee [14]. Computational tests on the benchmark instances of the generalized assignment problem show that the proposed heuristic procedure can generate strong rank-1 C-G cuts more efficiently than the exact rank-1 C-G cut separation and the exact knapsack facet generation.

Post-Processing of IVA-Based 2-Channel Blind Source Separation for Solving the Frequency Bin Permutation Problem (IVA 기반의 2채널 암묵적신호분리에서 주파수빈 뒤섞임 문제 해결을 위한 후처리 과정)

  • Chu, Zhihao;Bae, Keunsung
    • Phonetics and Speech Sciences
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    • v.5 no.4
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    • pp.211-216
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    • 2013
  • The IVA(Independent Vector Analysis) is a well-known FD-ICA method used to solve the frequency permutation problem. It generally works quite well for blind source separation problems, but still needs some improvements in the frequency bin permutation problem. This paper proposes a post-processing method which can improve the source separation performance with the IVA by fixing the remaining frequency permutation problem. The proposed method makes use of the correlation coefficient of power ratio between frequency bins for separated signals with the IVA-based 2-channel source separation. Experimental results verified that the proposed method could fix the remaining frequency permutation problem in the IVA and improve the speech quality of the separated signals.

A Cutting-plane Generation Method for a Variable-capacity (0,1 )-Knapsack Problem with General Integer Variables

  • Lee, Kyungsik
    • Management Science and Financial Engineering
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    • v.10 no.1
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    • pp.97-106
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    • 2004
  • In this paper, we propose an effective cut generation method based on the Chvatal-Gomory procedure for a variable-capacity (0,l)-Knapsack problem with two general integer variables. We first derive a class of valid inequalities for the problem using Chvatal-Gomory procedure, then analyze the associated separation problem. Based on the results, we show that there exists a pseudo-polynomial time algorithm to solve the separation problem. By analyzing the theoretical strength of the inequalities which can be generated by the proposed cut generation method, we show that generated inequalties define facets under mild conditions. We also extend the result to the case in which a nontrivial upper bound is imposed on a general integer variable.

Convolutive source separation in noisy environments (잡음 환경하에서의 음성 분리)

  • Jang Inseon;Choi Seungjin
    • Proceedings of the KSPS conference
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    • 2003.10a
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    • pp.97-100
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    • 2003
  • This paper addresses a method of convolutive source separation that based on SEONS (Second Order Nonstationary Source Separation) [1] that was originally developed for blind separation of instantaneous mixtures using nonstationarity. In order to tackle this problem, we transform the convolutive BSS problem into multiple short-term instantaneous problems in the frequency domain and separated the instantaneous mixtures in every frequency bin. Moreover, we also employ a H infinity filtering technique in order to reduce the sensor noise effect. Numerical experiments are provided to demonstrate the effectiveness of the proposed approach and compare its performances with existing methods.

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Attachment with Caregivers and Adjustment of Korean-Chinese Children Separated from Their Parents (부모와 별거하는 중국 조선족 아동의 양육자에 대한 애착과 적응문제)

  • Cho, Bokhee;Lee, Joo-Yeon
    • Korean Journal of Child Studies
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    • v.27 no.4
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    • pp.247-263
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    • 2006
  • Recruited from Korean-Chinese elementary schools in Shenyang and Harbin, China, 100 children living apart from their parents and experiencing non-maternal care provided information about the separation (reason and duration of parent-child separation, present location of parents, etc.), their adjustment to separation, and their perception of attachment with their caregivers. Results showed that although the separated children adjusted positively to parent-child separation in general, over 55% of them reported loneliness. Attachment with caregiver was the most significant influential variable on children's behavior problems. Duration of separation from father was related to children's hostility/aggression and hyperactivity/attention deficit problem, while duration of separation from mother influenced children's anxiety.

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A frictionless contact problem for two elastic layers supported by a Winkler foundation

  • Birinci, Ahmet;Erdol, Ragip
    • Structural Engineering and Mechanics
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    • v.15 no.3
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    • pp.331-344
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    • 2003
  • The plane contact problem for two infinite elastic layers whose elastic constants and heights are different is considered. The layers lying on a Winkler foundation are acted upon by symmetrical distributed loads whose lengths are 2a applied to the upper layer and uniform vertical body forces due to the effect of gravity in the layers. It is assumed that the contact between two elastic layers is frictionless and that only compressive normal tractions can be transmitted through the interface. The contact along the interface will be continuous if the value of the load factor, ${\lambda}$, is less than a critical value. However, interface separation takes place if it exceeds this critical value. First, the problem of continuous contact is solved and the value of the critical load factor, ${\lambda}_{cr}$, is determined. Then, the discontinuous contact problem is formulated in terms of a singular integral equation. Numerical solutions for contact stress distribution, the size of the separation areas, critical load factor and separation distance, and vertical displacement in the separation zone are given for various dimensionless quantities and distributed loads.

Frictionless contact problem for a layer on an elastic half plane loaded by means of two dissimilar rigid punches

  • Ozsahin, Talat Sukru
    • Structural Engineering and Mechanics
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    • v.25 no.4
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    • pp.383-403
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    • 2007
  • The contact problem for an elastic layer resting on an elastic half plane is considered according to the theory of elasticity with integral transformation technique. External loads P and Q are transmitted to the layer by means of two dissimilar rigid flat punches. Widths of punches are different and the thickness of the layer is h. All surfaces are frictionless and it is assumed that the layer is subjected to uniform vertical body force due to effect of gravity. The contact along the interface between elastic layer and half plane will be continuous, if the value of load factor, ${\lambda}$, is less than a critical value, ${\lambda}_{cr}$. However, if tensile tractions are not allowed on the interface, for ${\lambda}$ > ${\lambda}_{cr}$ the layer separates from the interface along a certain finite region. First the continuous contact problem is reduced to singular integral equations and solved numerically using appropriate Gauss-Chebyshev integration formulas. Initial separation loads, ${\lambda}_{cr}$, initial separation points, $x_{cr}$, are determined. Also the required distance between the punches to avoid any separation between the punches and the layer is studied and the limit distance between punches that ends interaction of punches, is investigated. Then discontinuous contact problem is formulated in terms of singular integral equations. The numerical results for initial and end points of the separation region, displacements of the region and the contact stress distribution along the interface between elastic layer and half plane is determined for various dimensionless quantities.

Continuous and discontinuous contact problem for a layered composite resting on simple supports

  • Birinci, Ahmet;Erdol, Ragip
    • Structural Engineering and Mechanics
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    • v.12 no.1
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    • pp.17-34
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    • 2001
  • The frictionless contact problem for a layered composite which consists of two elastic layers having different elastic constants and heights resting on two simple supports is considered. The external load is applied to the layered composite through a rigid stamp. For values of the resultant compressive force P acting on the stamp vertically which are less than a critical value $P_{cr}$ and for small flexibility of the layered composite, the continuous contact along the layer - the layer and the stamp - the layered composite is maintained. However, if the flexibility of the layered composite increases and if tensile tractions are not allowed on the interface, for P > $P_{cr}$, a separation may be occurred between the stamp and the layered composite or two elastic layers interface along a certain finite region. The problem is formulated and solved for both cases by using Theory of Elasticity and Integral Transform Technique. Numerical results for $P_{cr}$, separation initiation distance, contact stresses, distances determining the separation area, and the vertical displacement in the separation zone between two elastic layers are given.