• Title/Summary/Keyword: Set operations

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A Study on a New Algorithm for K Shortest Detour Path Problem in a Directed Network (유방향의 복수 최단 우회 경로 새로운 해법 연구)

  • Chang, Byung-Man
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.60-66
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    • 2006
  • This paper presents a new algorithm for the K shortest path problem in a directed network. After a shortest path is produced with Dijkstra algorithm, detouring paths through inward arcs to every vertex of the shortest path are generated. A length of a detouring path is the sum of both the length of the inward arc and the difference between the shortest distance from the origin to the head vertex and that to the tail vertex. K-1 shorter paths are selected among the detouring paths and put into the set of K paths. Then detouring paths through inward arcs to every vertex of the second shortest path are generated. If there is a shorter path than the current Kth path in the set, this path is placed in the set and the Kth path is removed from the set, and the paths in the set is rearranged in the ascending order of lengths. This procedure of generating the detouring paths and rearranging the set is repeated for the K-1 st path of the set. This algorithm can be applied to a problem of generating the detouring paths in the navigation system for ITS and also for vehicle routing problems.

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OPERATIONS OF INTUITIONISTIC FUZZY IDEALS/FILTERS IN LATTICES

  • HUR, KUL;JANG, SU YOUN;JUN, YOUNG BAE
    • Honam Mathematical Journal
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    • v.27 no.1
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    • pp.9-30
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    • 2005
  • The notion of intuitionistic fuzzy convex sublattices is introduced, and its characterization is given. Natural equivalence relations on the set of all intuitionistic fuzzy ideals/filters of a lattice are investigated. Operations on intuitionistic fuzzy sets of a lattice is introduced. Some results of intuitionistic fuzzy ideals/filters under these operations are provided. Using these operations, characterizations of intuitionistic fuzzy ideals/filters are given.

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A Study on the Management of Stock Data with an Object Oriented Database Management System (객체지향 데이타베이스를 이용한 주식데이타 관리에 관한 연구)

  • 허순영;김형민
    • Journal of the Korean Operations Research and Management Science Society
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    • v.21 no.3
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    • pp.197-214
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    • 1996
  • Financial analysis of stock data usually involves extensive computation of large amount of time series data sets. To handle the large size of the data sets and complexity of the analyses, database management systems have been increasingly adaopted for efficient management of stock data. Specially, relational database management system is employed more widely due to its simplistic data management approach. However, the normalized two-dimensional tables and the structured query language of the relational system turn out to be less effective than expected in accommodating time series stock data as well as the various computational operations. This paper explores a new data management approach to stock data management on the basis of an object-oriented database management system (ODBMS), and proposes a data model supporting times series data storage and incorporating a set of financial analysis functions. In terms of functional stock data analysis, it specially focuses on a primitive set of operations such as variance of stock data. In accomplishing this, we first point out the problems of a relational approach to the management of stock data and show the strength of the ODBMS. We secondly propose an object model delineating the structural relationships among objects used in the stock data management and behavioral operations involved in the financial analysis. A prototype system is developed using a commercial ODBMS.

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A Concave Function Minimization Algorithm Under 0-1 Knapsack Constraint using Strong Valid Inequalities (유효 절단 부등식을 이용한 오목함수 0-1 배낭제약식 문제의 해법)

  • 오세호
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.3
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    • pp.11-22
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    • 1997
  • The aim of this paper is to develop the B & B type algorithms for globally minimizing concave function under 0-1 knapsack constraint. The linear convex envelope underestimating the concave object function is introduced for the bounding operations which locate the vertices of the solution set. And the simplex containing the solution set is sequentially partitioned into the subsimplices over which the convex envelopes are calculated in the candidate problems. The adoption of cutting plane method enhances the efficiency of the algorithm. These mean valid inequalities with respect to the integer solution which eliminate the nonintegral points before the bounding operation. The implementations are effectively concretized in connection with the branching stategys.

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The Optimal Allocation Model for SAM Using Multi-Heuristic Algorithm : Focused on Aircraft Defense (복합 휴리스틱 알고리즘을 이용한 지대공 유도무기 최적배치 모형 : 항공기 방어를 중심으로)

  • Kwak, Ki-Hoon;Lee, Jae-Yeong;Jung, Chi-Young
    • Journal of the Korean Operations Research and Management Science Society
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    • v.34 no.4
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    • pp.43-56
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    • 2009
  • In korean peninsular, aircraft defense with SAM (Surface-to-Air Missile) is very important because of short range of combat space in depth. Effective and successful defense operation largely depends on two factors, SAM's location and the number of SAM for each target based on missile's availability in each SAM's location. However, most previous papers have handled only the former. In this paper, we developed Set covering model which can handle both factors simultaneously and Multi-heuristic algorithm for solving allocation problem of the batteries and missile assignment problem in each battery. Genetic algorithm is used to decide optimal location of the batteries. To determine the number of SAM, a heuristic algorithm is applied for solving missile assignment problem. If the proposed model is applied to allocation of SAM, it will improve the effectiveness of air defense operations.

Feature-Based Multi-Resolution Modeling of Solids Using History-Based Boolean Operations - Part II : Implementation Using a Non-Manifold Modeling System -

  • Lee Sang Hun;Lee Kyu-Yeul;Woo Yoonwhan;Lee Kang-Soo
    • Journal of Mechanical Science and Technology
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    • v.19 no.2
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    • pp.558-566
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    • 2005
  • We propose a feature-based multi-resolution representation of B-rep solid models using history-based Boolean operations based on the merge-and-select algorithm. Because union and subtraction are commutative in the history-based Boolean operations, the integrity of the models at various levels of detail (LOD) is guaranteed for the reordered features regardless of whether the features are subtractive or additive. The multi-resolution solid representation proposed in this paper includes a non-manifold topological merged-set model of all feature primitives as well as a feature-modeling tree reordered consistently with a given LOD criterion. As a result, a B-rep solid model for a given LOD can be provided quickly, because the boundary of the model is evaluated without any geometric calculation and extracted from the merged set by selecting the entities contributing to the LOD model shape.

Closeness of Lindley distribution to Weibull and gamma distributions

  • Raqab, Mohammad Z.;Al-Jarallah, Reem A.;Al-Mutairi, Dhaifallah K.
    • Communications for Statistical Applications and Methods
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    • v.24 no.2
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    • pp.129-142
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    • 2017
  • In this paper we consider the problem of the model selection/discrimination among three different positively skewed lifetime distributions. Lindley, Weibull, and gamma distributions have been used to effectively analyze positively skewed lifetime data. This paper assesses how much closer the Lindley distribution gets to Weibull and gamma distributions. We consider three techniques that involve the likelihood ratio test, asymptotic likelihood ratio test, and minimum Kolmogorov distance as optimality criteria to diagnose the appropriate fitting model among the three distributions for a given data set. Monte Carlo simulation study is performed for computing the probability of correct selection based on the considered optimality criteria among these families of distributions for various choices of sample sizes and shape parameters. It is observed that overall, the Lindley distribution is closer to Weibull distribution in the sense of likelihood ratio and Kolmogorov criteria. A real data set is presented and analyzed for illustrative purposes.

Wear Leveling Technique using Bit Array and Bit Set Threshold for Flash Memory

  • Kim, Seon Hwan;Kwak, Jong Wook;Park, Chang-Hyeon
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.11
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    • pp.1-8
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    • 2015
  • Flash memory has advantages in that it is fast access speed, low-power, and low-price. Therefore, they are widely used in electronics industry sectors. However, the flash memory has weak points, which are the limited number of erase operations and non-in-place update problem. To overcome the limited number of erase operations, many wear leveling techniques are studied. They use many tables storing information such as erase count of blocks, hot and cold block indicators, reference count of pages, and so on. These tables occupy some space of main memory for the wear leveling techniques. Accordingly, they are not appropriate for low-power devices limited main memory. In order to resolve it, a wear leveling technique using bit array and Bit Set Threshold (BST) for flash memory. The proposing technique reduces the used space of main memory using a bit array table, which saves the history of block erase operations. To enhance accuracy of cold block information, we use BST, which is calculated by using the number of invalid pages of the blocks in a one-to-many mode, where one bit is related to many blocks. The performance results illustrate that the proposed wear leveling technique improve life time of flash memory to about 6%, compared with previous wear leveling techniques using a bit array table in our experiment.

Models maximizing covering reliability

  • Kim, Seong in;Park, Young-Sin
    • Journal of the Korean Operations Research and Management Science Society
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    • v.10 no.1
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    • pp.1-8
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    • 1985
  • By introducing the concept of reliability of parallel systems the set covering. A branch-and-bound algorithm is developed and illustrated by a numerical example. The procedure has been coded and its computational efficiency is studied.

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