• Title/Summary/Keyword: graph structure

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A Genetic Algorithm for Directed Graph-based Supply Network Planning in Memory Module Industry

  • Wang, Li-Chih;Cheng, Chen-Yang;Huang, Li-Pin
    • Industrial Engineering and Management Systems
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    • v.9 no.3
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    • pp.227-241
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    • 2010
  • A memory module industry's supply chain usually consists of multiple manufacturing sites and multiple distribution centers. In order to fulfill the variety of demands from downstream customers, production planners need not only to decide the order allocation among multiple manufacturing sites but also to consider memory module industrial characteristics and supply chain constraints, such as multiple material substitution relationships, capacity, and transportation lead time, fluctuation of component purchasing prices and available supply quantities of critical materials (e.g., DRAM, chip), based on human experience. In this research, a directed graph-based supply network planning (DGSNP) model is developed for memory module industry. In addition to multi-site order allocation, the DGSNP model explicitly considers production planning for each manufacturing site, and purchasing planning from each supplier. First, the research formulates the supply network's structure and constraints in a directed-graph form. Then, a proposed genetic algorithm (GA) solves the matrix form which is transformed from the directed-graph model. Finally, the final matrix, with a calculated maximum profit, can be transformed back to a directed-graph based supply network plan as a reference for planners. The results of the illustrative experiments show that the DGSNP model, compared to current memory module industry practices, determines a convincing supply network planning solution, as measured by total profit.

Combining Local and Global Features to Reduce 2-Hop Label Size of Directed Acyclic Graphs

  • Ahn, Jinhyun;Im, Dong-Hyuk
    • Journal of Information Processing Systems
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    • v.16 no.1
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    • pp.201-209
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    • 2020
  • The graph data structure is popular because it can intuitively represent real-world knowledge. Graph databases have attracted attention in academia and industry because they can be used to maintain graph data and allow users to mine knowledge. Mining reachability relationships between two nodes in a graph, termed reachability query processing, is an important functionality of graph databases. Online traversals, such as the breadth-first and depth-first search, are inefficient in processing reachability queries when dealing with large-scale graphs. Labeling schemes have been proposed to overcome these disadvantages. The state-of-the-art is the 2-hop labeling scheme: each node has in and out labels containing reachable node IDs as integers. Unfortunately, existing 2-hop labeling schemes generate huge 2-hop label sizes because they only consider local features, such as degrees. In this paper, we propose a more efficient 2-hop label size reduction approach. We consider the topological sort index, which is a global feature. A linear combination is suggested for utilizing both local and global features. We conduct experiments over real-world and synthetic directed acyclic graph datasets and show that the proposed approach generates smaller labels than existing approaches.

Discovery of Frequent Traversal Patterns from Weighted Traversals and Performance Enhancement by Traversal Split (가중치 순회로부터 빈발 순회패턴의 탐사 및 순회분할을 통한 성능향상)

  • Lee, Seong-Dae;Park, Hyu-Chan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.5
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    • pp.940-948
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    • 2007
  • Many real world problems can be modeled as a graph and traversals on the graph. The structure of Web pages can be represented as a graph, for example, and user's navigation paths on the Web pages can be model as a traversal on the graph. It is interesting to discover valuable patterns, such as frequent patterns, from such traversals. In this paper, we propose an algorithm to discover frequent traversal patterns when a directed graph and weighted traversals on the graph are given. Furthermore, we propose a performance enhancement by traversal split and then verify it through experiments.

Exploratory Methodology for Acquiring Architectural Plans Based on Spatial Graph Similarity

  • Ham, Sungil;Chang, Seongju;Suh, Dongjun;Narangerel, Amartuvshin
    • Architectural research
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    • v.17 no.2
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    • pp.57-64
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    • 2015
  • In architectural planning, previous cases of similar spatial program provide important data for architectural design. Case-based reasoning (CBR) paradigm in the field of architectural design is closely related to the designing behavior of a planner who makes use of similar architectural designs and spatial programs in the past. In CBR, spatial graph can be constituted with most fundamental data, which can provide a method of searching spatial program by using visual graphs. This study developed a system for CBR that can analyze the similarity through graph comparison and search for buildings. This is an integrated system that is able to compare space similarity of different buildings and analyze their types, in addition to the analysis on a space within a single structure.

HOMOGENEOUS MULTILINEAR FUNCTIONS ON HYPERGRAPH CLIQUES

  • Lu, Xiaojun;Tang, Qingsong;Zhang, Xiangde;Zhao, Cheng
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.1037-1067
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    • 2017
  • Motzkin and Straus established a close connection between the maximum clique problem and a solution (namely graph-Lagrangian) to the maximum value of a class of homogeneous quadratic multilinear functions over the standard simplex of the Euclidean space in 1965. This connection and its extensions were successfully employed in optimization to provide heuristics for the maximum clique problem in graphs. It is useful in practice if similar results hold for hypergraphs. In this paper, we develop a homogeneous multilinear function based on the structure of hypergraphs and their complement hypergraphs. Its maximum value generalizes the graph-Lagrangian. Specifically, we establish a connection between the clique number and the generalized graph-Lagrangian of 3-uniform graphs, which supports the conjecture posed in this paper.

Attributed AND-OR Graph : A Semantics for Formal Model Management for Digital Systems Design (Attributed AND-OR Graph : 디지털 시스템 설계에 있어 모델 관리를 위한 정형론)

  • Kim, Jun-Kyoung;Kim, Tag-Gon
    • Proceedings of the Korea Society for Simulation Conference
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    • 2005.05a
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    • pp.34-39
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    • 2005
  • The progress of silicon technology enables to implement a highly complex digital system on a given chip area. However, even the modern design environment is not so efficient to catch up with the progress of process technology. Design reuse is a promising approach to designing such a complex system in an efficient way. However, the rigidness and inflexibility of a model has been an obstacle to design reuse. This paper proposes a high-level model management methodology by introducing attributed AND-OR graph(AOG), a (formal semantics for representing the possible structure of a model. Using the formalism enables a designer to extract, extend and reuse the pre-modeled and pre-verified design. A complete process of constructing a cache operational model, extending the model and extracting executable models is exemplified to show effectiveness of the proposed framework.

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Using of Scattering Bond Graph Methodology for a Physical Characteristics Analysis of “D-CRLH” Transmission Line

  • Taghouti, Hichem;Jmal, Sabri;Mami, Abdelkader
    • Journal of Electrical Engineering and Technology
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    • v.11 no.4
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    • pp.943-950
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    • 2016
  • In this paper, we propose to analyze the physical characteristics of a planar dual-composite right-left handed transmission line by a common application of Bond Graph approach and Scattering formalism (Methodology S.BG). The technique, we propose consists, on the one hand, of modeling of a dual composite right-left metamaterial transmission line (D-CRLH-TL) by Bond Graph approach, and, it consists of extracting the equivalent circuit of this studied structure. On the other hand, it consists to exploiting the scattering parameters (Scattering matrix) of the DCRLH-TL using the methodology which we previously developed since 2009. Finally, the validation of the proposed and used technique is carried out by comparisons between the simulations results with ADS and Maple (or MatLab).

Understanding Temporal Change of Centrality by Analyzing Social Network among Korean actors (한국 영화배우 소셜 네트워크 데이터 분석을 통한 중심성 변화 연구)

  • Choi, Joonyoung;Lee, O-Jun;Jung, Jason J.;Yong, Hwan-Sung
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2019.05a
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    • pp.37-40
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    • 2019
  • On this paper, we show the way of forming graph data structure via setting an edge between Korean actors if they appeared in the same movie. From this graph, we calculate the 'centralities' (which declared on this paper) for each actor, then examine distribution by ranking the actors of the centralities and analyze the change of the actor who is/was center on the graph by years. Finally, we suggest the way that sets the numerically Range limits on social group.

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INVARIANT GRAPH AND RANDOM BONY ATTRACTORS

  • Fateme Helen Ghane;Maryam Rabiee;Marzie Zaj
    • Journal of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.255-271
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    • 2023
  • In this paper, we deal with random attractors for dynamical systems forced by a deterministic noise. These kind of systems are modeled as skew products where the dynamics of the forcing process are described by the base transformation. Here, we consider skew products over the Bernoulli shift with the unit interval fiber. We study the geometric structure of maximal attractors, the orbit stability and stability of mixing of these skew products under random perturbations of the fiber maps. We show that there exists an open set U in the space of such skew products so that any skew product belonging to this set admits an attractor which is either a continuous invariant graph or a bony graph attractor. These skew products have negative fiber Lyapunov exponents and their fiber maps are non-uniformly contracting, hence the non-uniform contraction rates are measured by Lyapnnov exponents. Furthermore, each skew product of U admits an invariant ergodic measure whose support is contained in that attractor. Additionally, we show that the invariant measure for the perturbed system is continuous in the Hutchinson metric.

The Placement Algorithm of the Shuffle-Exchange Graph Using Matrix (매트릭스를 이용한 혼합교환도의 배치 알고리즘)

  • Hah, Ki Jong;Choi, Young Kyoo;Hwang, Ho Jung
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.2
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    • pp.355-361
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    • 1987
  • The shuffle-exchange graph is known as a structure to perform the parallel algorithms like Discrete Fourier Transform(DFT), matrix multiplication and sorting. In this paper, the layout for the shuffle-exchange graph is described and this layout places emphasis on the placement of nodes that has the capability to have as small area as possible, have as a small number of crossings as possible, and have as short wires as possible. The algorithm corrdsponding these conditions is proposed and each evaluation factor and the placement of the N-node shuffle-exchange graph is performed with FORTRAN and BASIC program, and these results are calcualted.

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