• Title/Summary/Keyword: Algorithm of problem-solving

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An Ant Colony Optimization Approach for the Maximum Independent Set Problem (개미 군집 최적화 기법을 활용한 최대 독립 마디 문제에 관한 해법)

  • Choi, Hwayong;Ahn, Namsu;Park, Sungsoo
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.4
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    • pp.447-456
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    • 2007
  • The ant colony optimization (ACO) is a probabilistic Meta-heuristic algorithm which has been developed in recent years. Originally ACO was used for solving the well-known Traveling Salesperson Problem. More recently, ACO has been used to solve many difficult problems. In this paper, we develop an ant colony optimization method to solve the maximum independent set problem, which is known to be NP-hard. In this paper, we suggest a new method for local information of ACO. Parameters of the ACO algorithm are tuned by evolutionary operations which have been used in forecasting and time series analysis. To show the performance of the ACO algorithm, the set of instances from discrete mathematics and computer science (DIMACS)benchmark graphs are tested, and computational results are compared with a previously developed ACO algorithm and other heuristic algorithms.

Optimal Production Cost Evaluation Using Karmarkar Algorithm (Karmarkar 알고리듬을 이용한 최적 발전시뮬레이션)

  • Song, K.Y.;Kim, Y.H.;Oh, K.H.
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.113-116
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    • 1995
  • In this study, we formulate production costing problem with environmental and operational constraints into an optimization problem of LP form. In the process of formulation, auxiliary constraints on which reflect unit loading order are constructed to reduce the size of optimization problem by economic operation rules. As a solution of the optimization problem in LP form, we use Karmarkar's method which performs much faster than simplex method in solving large scale LP problem. The proposed production costing algorithm is applied to IEEE Reliability Test System, and performs production simulation under environmental and operational constraints. Test and computer results are given to show the accuracy and usefulness of the proposed algorithm in the field of power system planning.

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A Genetic Algorithm for Backup Virtual Path Routing in Multicast ATM Networks (멀티캐스트 ATM 망에서 대체가상결로의 설정을 위한 유전 알고리듬)

  • 김여근;송원섭;곽재승
    • Journal of the Korean Operations Research and Management Science Society
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    • v.25 no.2
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    • pp.101-114
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    • 2000
  • Multicasting is the simultaneous transmission of data to multiple destinations. In multicast ATM networks the effect of failures on transmission links or nodes can be catastrophic so that the issue of survivability is of great importance. However little attention has been paid to the problem of multicast restoration. This paper presents an efficient heuristic technique for routing backup virtual paths in ulticast networks with link failure. Genetic algorithm is employed here as a heuristic. In the application of genetic algorithm to the problem, a new genetic encoding and decoding method and genetic operators are proposed in this paper. The other several heuristics are also presented in order to assess the performance of the proposed algorithm. Experimental results demonstrate that our algorithm is a promising approach to solving the problem.

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ALGORITHM FOR WEBER PROBLEM WITH A METRIC BASED ON THE INITIAL FARE

  • Kazakovtsev, Lev A.;Stanimirovic, Predrag S.
    • Journal of applied mathematics & informatics
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    • v.33 no.1_2
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    • pp.157-172
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    • 2015
  • We introduce a non-Euclidean metric for transportation systems with a defined minimum transportation cost (initial fare) and investigate the continuous single-facility Weber location problem based on this metric. The proposed algorithm uses the results for solving the Weber problem with Euclidean metric by Weiszfeld procedure as the initial point for a special local search procedure. The results of local search are then checked for optimality by calculating directional derivative of modified objective functions in finite number of directions. If the local search result is not optimal then algorithm solves constrained Weber problems with Euclidean metric to obtain the final result. An illustrative example is presented.

An Approach for Optimal Dispatch Scheduling Incorporating Transmission Security Constraints (송전계통 안전도 제약조건을 반영한 급전계획 알고리즘 개발에 관한 연구)

  • Chung, Koo-Hyung;Kim, Bal-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.12
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    • pp.597-602
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    • 2005
  • The introduction of competition in electricity market emphasizes the importance of sufficient transmission capacities to guarantee various electricity transactions. Therefore, when dispatch scheduling, transmission security constraints should be considered for the economic and stable electric power system operation. In this paper, we propose an optimal dispatch scheduling algorithm incorporating transmission security constraints. For solving these constraints, the dispatch scheduling problem is decomposed into a master problem to calculate a general optimal power flow (OPF) without transmission security constraints and several subproblems to inspect the feasibility of OPF solution under various transmission line contingencies. If a dispatch schedule given by the master problem violates transmission security constraints, then an additional constraint is imposed to the master problem. Through these iteration processes between the master problem and subproblems, an optimal dispatch schedule reflecting the post-contingency rescheduling is derived. Moreover, since interruptible loads can positively participate as generators in the competitive electricity market, we consider these interruptible loads active control variables. Numerical example demonstrates efficiency of the proposed algorithm.

ADMM for least square problems with pairwise-difference penalties for coefficient grouping

  • Park, Soohee;Shin, Seung Jun
    • Communications for Statistical Applications and Methods
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    • v.29 no.4
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    • pp.441-451
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    • 2022
  • In the era of bigdata, scalability is a crucial issue in learning models. Among many others, the Alternating Direction of Multipliers (ADMM, Boyd et al., 2011) algorithm has gained great popularity in solving large-scale problems efficiently. In this article, we propose applying the ADMM algorithm to solve the least square problem penalized by the pairwise-difference penalty, frequently used to identify group structures among coefficients. ADMM algorithm enables us to solve the high-dimensional problem efficiently in a unified fashion and thus allows us to employ several different types of penalty functions such as LASSO, Elastic Net, SCAD, and MCP for the penalized problem. Additionally, the ADMM algorithm naturally extends the algorithm to distributed computation and real-time updates, both desirable when dealing with large amounts of data.

The Ellipsoid Method for ILP Problem and its Application (ILP를 위한 타원법과 그 응용)

  • 김준홍
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.11 no.17
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    • pp.15-23
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    • 1988
  • The subject in this paper is to apply the ellipsoid method proposed by khachiyan〔1〕 to ILP systems. For solving ILP problems we will present a algorithm using the modified formular of Pallaschke〔2〕. Additionally, computational results indicate that out algorithm is subject to the numerical stability.

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The Integrated Process Planning and Scheduling in Flexible Assembly Systems using an Endosymbiotic Evolutionary Algorithm (내공생 진화알고리듬을 이용한 유연조립시스템의 공정계획과 일정계획의 통합)

  • Song, Won-Seop;Shin, Kyoung-Seok;Kim, Yeo-Keun
    • IE interfaces
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    • v.17 no.spc
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    • pp.20-27
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    • 2004
  • A flexible assembly system (FAS) is a production system that assembles various parts with many constraints and manufacturing flexibilities. This paper presents a new method for efficiently solving the integrated process planning and scheduling in FAS. The two problems of FAS process planning and scheduling are tightly related with each other. However, in almost all the existing researches on FAS, the two problems have been considered separately. In this research, an endosymbiotic evolutionary algorithm is adopted as methodology in order to solve the two problems simultaneously. This paper shows how to apply an endosymbiotic evolutionary algorithm to solving the integrated problem. Some evolutionary schemes are used in the algorithm to promote population diversity and search efficiency. The experimental results are reported.

A branch and bound algorithm for solving a capacitated subtree of a tree problem in local access telecommunication network

  • Cho, Geon
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.09a
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    • pp.202-210
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    • 1995
  • Given a tree T with a root node 0 having the capacity H and a profit $c_{v}$ and a demand $d_{v}$ on each node v of T, the capacitated subtree of a tree problem(CSTP) is to find a subtree of T containing the root that has the maximum total profit, the sum of profits over the subtree, and also satisfies the constraint of which the sum of demands over the subtree must be less than or equal to H. We first define the so-called critical item for CSTP and find an upper bound on the linear programming relaxation of CSTP. We then present our branch and bound algorithm for solving CSTP and finally report the computational results on a set of randomly generated test problems.s.s.

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A Study on the Design and Development of Computer Based Learning and Test System (컴퓨터 평가 기반 학습 시스템 설계 및 개발 연구)

  • HEO, Gyun
    • Journal of Fisheries and Marine Sciences Education
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    • v.27 no.4
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    • pp.1160-1171
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    • 2015
  • The purpose of this study is to design and develop a computer based learning and test system, which supports not only testing learner's ability but also learning contents with giving feedback and hint. In order to design and develop a computer based learning and test system, Visual Basic dot Net software is used. The system works in three stages: sequential problem solving stage, randomized problem solving stage, and the challenge stage of pass/fail. The results of this study are as follows: (a) We propose the context of design for the computer based learning and test system. (b) We design and develop items display function with sequential and random algorithm in this system. (c) We design and develop pass/fail function by applying SPRT(Sequential Probability Ratio Testing) algorithm in the computer based learning and test system.