• Title/Summary/Keyword: set partitions

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Design and Evaluation of Flexible Thread Partitioning System (융통성 있는 스레드 분할 시스템 설계와 평가)

  • Jo, Sun-Moon
    • Journal of Internet Computing and Services
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    • v.8 no.3
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    • pp.75-83
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    • 2007
  • Multithreaded model is an effective parallel system in that it can reduce the long memory reference latency time and solve the synchronization problems. When compiling the non-strict functional programs for the multithreaded parallel machine, the most important thing is to find an set of sequentially executable instructions and to partitions them into threads. The existing partitioning algorithm partitions the condition of conditional expression, true expression and false expression into the basic blocks and apply local partitioning to these basic blocks. We can do the better partitioning if we modify the definition of the thread and allow the branching within the thread. The branching within the thread do not reduce the parallelism, do not increase the number of synchronization and do not violate the basic rule of the thread partitioning. On the contrary, it can lengthen the thread and reduce the number of synchronization. In the paper, we enhance the method of the partition of threads by combining the three basic blocks into one of two blocks.

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A study on the genetic algorithms for the scheduling of parallel computation (병렬계산의 스케쥴링에 있어서 유전자알고리즘에 관한 연구)

  • 성기석;박지혁
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1997.10a
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    • pp.166-169
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    • 1997
  • For parallel processing, the compiler partitions a loaded program into a set of tasks and makes a schedule for the tasks that will minimize parallel processing time for the loaded program. Building an optimal schedule for a given set of partitioned tasks of a program has known to be NP-complete. In this paper we introduce a GA(Genetic Algorithm)-based scheduling method in which a chromosome consists of two parts of a string which decide the number and order of tasks on each processor. An additional computation is used for feasibility constraint in the chromosome. By granularity theory, a partitioned program is categorized into coarse-grain or fine-grain types. There exist good heuristic algorithms for coarse-grain type partitioning. We suggested another GA adaptive to the coarse-grain type partitioning. The infeasibility of chromosome is overcome by the encoding and operators. The number of processors are decided while the GA find the minimum parallel processing time.

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Intelligent Test Plan Metrics on Adaptive Use Case Approach

  • Kim, R. Young Chul;Lee, Jaehyub
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.2 no.1
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    • pp.70-77
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    • 2002
  • This paper describes a design driven approach to drive intelligent test plan generation based on adaptive use case (3,5). Its foundation is an object-oriented software design approach which partitions design schema into design architecture of functional components called “design component”. A use case software development methodology of adaptive use case approach developed in I.I .T is employed which preserves this unit architecture on through to the actual code structure. Based on the partition design schema produced during the design phase of this methodology, a test plan is generated which includes a set of component and scenario based test. A software metric is introduced which produces an ordering of this set to enhance productivity and both promote and capitalize on test case reusability, This paper contains an application that illustrates the proposed approach.

ON THE SEMIGROUP OF PARTITION-PRESERVING TRANSFORMATIONS WHOSE CHARACTERS ARE BIJECTIVE

  • Mosarof Sarkar;Shubh N. Singh
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.1
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    • pp.117-133
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    • 2024
  • Let 𝓟 = {Xi : i ∈ I} be a partition of a set X. We say that a transformation f : X → X preserves 𝓟 if for every Xi ∈ 𝓟, there exists Xj ∈ 𝓟 such that Xif ⊆ Xj. Consider the semigroup 𝓑(X, 𝓟) of all transformations f of X such that f preserves 𝓟 and the character (map) χ(f): I → I defined by iχ(f) = j whenever Xif ⊆ Xj is bijective. We describe Green's relations on 𝓑(X, 𝓟), and prove that 𝒟 = 𝒥 on 𝓑(X, 𝓟) if 𝓟 is finite. We give a necessary and sufficient condition for 𝒟 = 𝒥 on 𝓑(X, 𝓟). We characterize unit-regular elements in 𝓑(X, 𝓟), and determine when 𝓑(X, 𝓟) is a unit-regular semigroup. We alternatively prove that 𝓑(X, 𝓟) is a regular semigroup. We end the paper with a conjecture.

CHARACTERIZATIONS OF PARTITION LATTICES

  • Yoon, Young-Jin
    • Bulletin of the Korean Mathematical Society
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    • v.31 no.2
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    • pp.237-242
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    • 1994
  • One of the most well-known geometric lattices is a partition lattice. Every upper interval of a partition lattice is a partition lattice. The whitney numbers of a partition lattices are the Stirling numbers, and the characteristic polynomial is a falling factorial. The set of partitions with a single non-trivial block containing a fixed element is a Boolean sublattice of modular elements, so the partition lattice is supersolvable in the sense of Stanley [6]. In this paper, we rephrase four results due to Heller[1] and Murty [4] in terms of matroids and give several characterizations of partition lattices. Our notation and terminology follow those in [8,9]. To clarify our terminology, let G, be a finte geometric lattice. If S is the set of points (or rank-one flats) in G, the lattice structure of G induces the structure of a (combinatorial) geometry, also denoted by G, on S. The size vertical bar G vertical bar of the geometry G is the number of points in G. Let T be subset of S. The deletion of T from G is the geometry on the point set S/T obtained by restricting G to the subset S/T. The contraction G/T of G by T is the geometry induced by the geometric lattice [cl(T), over ^1] on the set S' of all flats in G covering cl(T). (Here, cl(T) is the closure of T, and over ^ 1 is the maximum of the lattice G.) Thus, by definition, the contraction of a geometry is always a geometry. A geometry which can be obtained from G by deletions and contractions is called a minor of G.

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DISCOVERY TEMPORAL FREQUENT PATTERNS USING TFP-TREE

  • Jin Long;Lee Yongmi;Seo Sungbo;Ryu Keun Ho
    • Proceedings of the KSRS Conference
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    • 2005.10a
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    • pp.454-457
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    • 2005
  • Mining frequent patterns in transaction databases, time-series databases, and many other kinds of databases has been studied popularly in data mining research. Most of the previous studies adopt an Apriori-like candidate set generation-and-test approach. However, candidate set generation is still costly, especially when there exist prolific patterns and/or long patterns. And calendar based on temporal association rules proposes the discovery of association rules along with their temporal patterns in terms of calendar schemas, but this approach is also adopt an Apriori-like candidate set generation. In this paper, we propose an efficient temporal frequent pattern mining using TFP-tree (Temporal Frequent Pattern tree). This approach has three advantages: (1) this method separates many partitions by according to maximum size domain and only scans the transaction once for reducing the I/O cost. (2) This method maintains all of transactions using FP-trees. (3) We only have the FP-trees of I-star pattern and other star pattern nodes only link them step by step for efficient mining and the saving memory. Our performance study shows that the TFP-tree is efficient and scalable for mining, and is about an order of magnitude faster than the Apriori algorithm and also faster than calendar based on temporal frequent pattern mining methods.

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A Filter Lining Scheme for Efficient Skyline Computation

  • Kim, Ji-Hyun;Kim, Myung
    • Journal of Korea Multimedia Society
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    • v.14 no.12
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    • pp.1591-1600
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    • 2011
  • The skyline of a multidimensional data set is the maximal subset whose elements are not dominated by other elements of the set. Skyline computation is considered to be very useful for a decision making system that deals with multidimensional data analyses. Recently, a great deal of interests has been shown to improve the performance of skyline computation algorithms. In order to speedup, the number of comparisons between data elements should be reduced. In this paper, we propose a filter lining scheme to accomplish such objectives. The scheme divides the multidimensional data space into angle-based partitions, and places a filter for each partition, and then connects them together in order to establish the final filter line. The filter line can be used to eliminate data, that are not part of the skyline, from the original data set in the preprocessing stage. The filter line is adaptively improved during the data scanning stage. In addition, skylines are computed for each remaining data partition, and are then merged to form the final skyline. Our scheme is an improvement of the previously reported simple preprocessing scheme using simple filters. The performance of the scheme is shown by experiments.

Effects of Single Nucleotide Polymorphism Marker Density on Haplotype Block Partition

  • Kim, Sun Ah;Yoo, Yun Joo
    • Genomics & Informatics
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    • v.14 no.4
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    • pp.196-204
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    • 2016
  • Many researchers have found that one of the most important characteristics of the structure of linkage disequilibrium is that the human genome can be divided into non-overlapping block partitions in which only a small number of haplotypes are observed. The location and distribution of haplotype blocks can be seen as a population property influenced by population genetic events such as selection, mutation, recombination and population structure. In this study, we investigate the effects of the density of markers relative to the full set of all polymorphisms in the region on the results of haplotype partitioning for five popular haplotype block partition methods: three methods in Haploview (confidence interval, four gamete test, and solid spine), MIG++ implemented in PLINK 1.9 and S-MIG++. We used several experimental datasets obtained by sampling subsets of single nucleotide polymorphism (SNP) markers of chromosome 22 region in the 1000 Genomes Project data and also the HapMap phase 3 data to compare the results of haplotype block partitions by five methods. With decreasing sampling ratio down to 20% of the original SNP markers, the total number of haplotype blocks decreases and the length of haplotype blocks increases for all algorithms. When we examined the marker-independence of the haplotype block locations constructed from the datasets of different density, the results using below 50% of the entire SNP markers were very different from the results using the entire SNP markers. We conclude that the haplotype block construction results should be used and interpreted carefully depending on the selection of markers and the purpose of the study.

A Study on Features of Fire and Change of Extinguishing Capacity of Sprinkler Equipment Against Fire at a Traditional Market (재래시장에서의 화재조건에 따른 스프링클러설비의 소화성능변화와 화재특성에 관한 연구)

  • Park, Jin-Woo;Jeon, Gyu-Yeob;Na, Wook-Jung;Hong, Won-Hwa
    • Fire Science and Engineering
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    • v.22 no.1
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    • pp.128-138
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    • 2008
  • Lots of products stocked at a traditional market are made of rubbers, synthetic fibers and plastics which when on fire, emit high heat to easily ignite nearby inflammables. And shops are not divided by fireproof partitions but by combustible curtains, which contributes to a possibility of a conflagration. In this study, danger and weak factors on fire at a traditional market was analyzed. Non-existence of partition between shops and the height of piled inflammables are set as danger factors and change of extinguishing capacity of sprinklers was analyzed using fire dynamics simulator. As a result, it turned out that partitions between shops and high-piled inflammables reduced watering radius of sprinklers and increased the size of fire and distribution of temperature.

A Near Optimal Data Allocation Scheme for Multiple Broadcast-Channel Environments (다중 방송 채널 환경을 위한 유사 최적화 데이터 할당 기법)

  • Kwon, Hyeok-Min
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.1
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    • pp.17-27
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    • 2012
  • Broadcast-based data dissemination has become a widely accepted approach of communication in the mobile computing environment. However, with a large set of data items, the expected delay of receiving a desired data increases due to the sequential nature of the broadcast channel. This paper explores the issue of designing proper data allocation on multiple broadcast channels to reduce this wait time, and proposes a new data allocation scheme named near optimal data allocation(NODA). The proposed scheme first partitions all data items in K group based on the theoretical lower-bound of the average expected delay to determine data items which each broadcast channel has to broadcast. Then, NODA further partitions each group of data items in B groups using extended dynamic programming algorithm to broadcast data items allocated on the same broadcast channel in different frequencies. The proposed scheme is capable of minimizing the average expected delay time since it can broadcast data items allocated on the same channel reflecting their popularities.