• Title/Summary/Keyword: 발견적 해법

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Optimal Solution of a Large-scale Travelling Salesman Problem applying DNN and k-opt (DNN과 k-opt를 적용한 대규모 외판원 문제의 최적 해법)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.4
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    • pp.249-257
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    • 2015
  • This paper introduces a heuristic algorithm to NP-hard travelling salesman problem. The proposed algorithm, in its bid to determine initial path, applies SW-DNN, DW-DNN, and DC-DNN, which are modified forms of the prevalent Double-sided Nearest Neighbor Search and searches the minimum value. As a part of its optimization process on the initial solution, it employs 2, 2.5, 3-opt of a local search k-opt on candidate delete edges and 4-opt on undeleted ones among them. When tested on TSP-1 of 26 European cities and TSP-2 of 49 U.S. cities, the proposed algorithm has successfully obtained optimal results in both, disproving the prevalent disbelief in the attainability of the optimal solution and making itself available as a general algorithm for the travelling salesman problem.

An Study on Decision Tree Analysis with Imbalanced Data Set : A Case of Health Insurance Bill Audit in General Hospital (의사결정나무 분석에서 불균형 자료의 분석 연구 : 종합병원의 건강보험료 청구 심사 사례)

  • Heo Jun;Kim Jong-U
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1667-1676
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    • 2006
  • 다른 산업과 달리 병원/의료 산업에서는 건강 보험료 심사 평가라는 독특한 검증 과정이 필수적으로 있게 된다. 건강 보험료 심사 평가는 병원의 수익 문제 뿐 아니라 적정한 진료행위를 하는 병원이라는 이미지와도 맞물려 매우 중요한 분야이며, 특히 대형 종합병원일수록 이 부분에 많은 심사관련 인력들을 투입하여, 병원의 수익과 명예를 위해서 업무를 수행하고 있다. 본 논문은 이러한 건강보험료 청구 심사 과정에서, 사전에 수많은 진료 청구 건 중 심사 평가에서 삭감이 될 수 있는 진료 청구 건을 데이터 마이닝을 통해서 발견하여, 사전의 대비를 철저히 하고자 하는 한 국내의 대형 종합병원의 사례를 소개하고자 한다. 데이터 마이닝을 적용함에 있어, 주요한 문제점 중의 하나는 바로 지도학습 기법을 적용하기에 곤란한 데이터 불균형 문제가 발생하는 것이다. 이런 불균형 문제를 해소하고, 비교 조건 중에 가장 효율적인 삭감 예상 진료 건 탐지 모형을 만들어 내기 위하여 데이터 불균형 문제의 기본 해법인 과, Sampling 오분류 비용의 다양하고 혼합적인 적용을 통하여, 적합한 조건을 가지는 의사결정 나무 모형을 도출하였다.

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An Algorithm based on Evolutionary Computation for a Highly Reliable Network Design (높은 신뢰도의 네트워크 설계를 위한 진화 연산에 기초한 알고리즘)

  • Kim Jong-Ryul;Lee Jae-Uk;Gen Mituso
    • Journal of KIISE:Software and Applications
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    • v.32 no.4
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    • pp.247-257
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    • 2005
  • Generally, the network topology design problem is characterized as a kind of NP-hard combinatorial optimization problem, which is difficult to solve with the classical method because it has exponentially increasing complexity with the augmented network size. In this paper, we propose the efficient approach with two phase that is comprised of evolutionary computation approach based on Prufer number(PN), which can efficiently represent the spanning tree, and a heuristic method considering 2-connectivity, to solve the highly reliable network topology design problem minimizing the construction cost subject to network reliability: firstly, to find the spanning tree, genetic algorithm that is the most widely known type of evolutionary computation approach, is used; secondly, a heuristic method is employed, in order to search the optimal network topology based on the spanning tree obtained in the first Phase, considering 2-connectivity. Lastly, the performance of our approach is provided from the results of numerical examples.

GA-based Two Phase Method for a Highly Reliable Network Design (높은 신뢰도의 네트워크 설계를 위한 GA 기반 두 단계 방법)

  • Jo, Jung-Bok
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.5
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    • pp.1149-1160
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    • 2005
  • Generally, the network topology design problem, which is difficult to solve with the classical method because it has exponentially increasing complexity with the augmented network size, is characterized as a kind of NP-hard combinatorial optimization problem. The problem of this research is to design the highly reliable network topology considering the connection cost and all-terminal network reliability, which can be defined as the probability that every pair of nodes can communicate with each other. In order to solve the highly reliable network topology design problem minimizing the construction cost subject to network reliability, we proposes an efficient two phase approach to design reliable network topology, i.e., the first phase employs, a genetic algorithm (GA) which uses $Pr\ddot{u}fer$ number for encoding method and backtracking Algorithm for network reliability calculation, to find the spanning tree; the second phase is a greedy method which searches the optimal network topology based on the spanning ree obtained in the first phase, with considering 2-connectivity. finally, we show some experiments to demonstrate the effectiveness and efficiency of our two phase approach.

A New Recursive Formula to Derive the Fourier Transforms of Cosine-Pulses Using Modified Class-I PRS Model (수정된 제1종 부분 응답 전송 시스템 모델을 이용한 여현 펄스 푸리에 변환의 새로운 순환 공식)

  • 오용선;조형래;강민구;김한종;강창언
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.12
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    • pp.1343-1352
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    • 1992
  • This paper presents a new and easy method to obtain the Fourier transforms of the n-th order cosine-pulses whose maximum amplitudes are uniform. The new method is focused on deriving a formula which is recursively related following their orders and can be well applied to some numerical solutions. On the other hand, this method also offers more compact procedures in view of analytical solutions than the conventional methods because the results are consist of the sum of two functions which are easily calculated. Especially, the formula can be represented as a complete recursion by the separation of coefficients originated by the authors and the resulting difference equation is given by the sum of the original 'sinc' functions shifted by some symmetrical factors and multiplied by some constants. The constants are easily decided from the binomial coefficients and the shifting factors from the corresponding exponential differences in the expansion of $(a+b)^n$.

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A Heuristic for Fleet Size and Mix Vehicle Routing Problem with Time Deadline (고객의 납기마감시간이 존재하는 이기종 차량경로문제의 발견적 해법)

  • Kang Chung-Sang;Lee Jun-Su
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.2
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    • pp.8-17
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    • 2005
  • This paper dealt with a kind of heterogeneous vehicle routing problem with known demand and time deadline of customers. The customers are supposed to have one of tight deadline and loose deadline. The demand of customers with tight deadline must be fulfilled in the deadline. However, the late delivery is allowed to customers with loose deadline. That is, the paper suggests a model to minimize total acquisition cost, total travel distance and total violation time for a fleet size and mix vehicle routing problem with time deadline, and proposes a heuristic algorithm for the model. The proposed algorithm consists of two phases, i.e. generation of an initial solution and improvement of the current solution. An initial solution is generated based on a modified insertion heuristic and iterative Improvement procedure is accomplished using neighborhood generation methods such as swap and reallocation. The proposed algorithm is evaluated using a well known numerical example.

Heuristic for Vehicle Routing Problem with Perishable Product Delivery (식품 배송의 특성을 고려한 차량경로문제의 발견적 해법)

  • Kang, Kyung Hwan;Lee, Young Hoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.2
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    • pp.265-272
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    • 2007
  • The purpose of Vehicle Routing Problem (VRP) is to design the least costly (distance, time) routes for a fleet of identically capacitated vehicles to serve geographically scattered customers. There may be some restrictions such as the maximal capacity for each vehicle, maximal distance for each vehicle, time window to visit the specific customers, and so forth. This paper is concerned with VRP to minimize the sum of elapsed time from departure, where the elapsed time is defined as the time taken in a moving vehicle from the depot to each customer. It is important to control the time taken from departure in the delivery of perishable products or foods, whose freshness may deteriorate during the delivery time. An integer linear programming formulation is suggested and a heuristic for practical use is constructed. The heuristic is based on the set partitioning problem whose performances are compared with those of ILOG dispatcher. It is shown that the suggested heuristic gave good solutions within a short computation time by computational experiments.

A Heuristic Approach to Machine-Part Grouping Cellular Manufacturing (셀 생산방식에서 기계-부품 그룹을 형성하는 발견적 해법)

  • Kim Jin-Seock;Lee Jong-Sub;Kang Maing-Kyu
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.1
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    • pp.121-128
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    • 2005
  • This paper proposes the heuristic approach for the generalized GT(Group Technology) problem to consider the restrictions which are given the number of cell, maximum number of machines and minimum number of machines. This approach is classified into two stages. In the first stage, we use the similarity coefficient method which is proposed and calculate the similarity values about each pair of all machines and align these values in descending order. If two machines which is selected is possible to link the each other on the edge of machine cell and they don't have zero similarity value, then we assign the machines to the machine cell. In the second stage, it is the course to form part families using proposed grouping efficacy. Finally, machine-part incidence matrix is realigned to block diagonal structure. The results of using the proposed approach are compared to the Modified p-median model.

Three-Dimensional Container Packing Problem (컨테이너 3차원 적재문제)

  • 배민주;최세경;김환성
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2003.05a
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    • pp.242-248
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    • 2003
  • In this paper, we propose a new heuristic solution for 3D container packing problem for the variable size and the variable kind of freights. First we consider the total cost of container charges, i.e., loading, transportation and handling charges, where the priority of each frights are dealt. By minimizing the total cost of container charges, the kinds of container and its number can be decided automatically. From these factors, we con determine the position in the container and the loading sequence into the container. Finally, by equivalence of freight's weight in container, we can prevent the freight's damage on the handling.

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A Heuristic Algorithm for The Vehicle Routing and Scheduling Problem (차량경로일정문제의 발견적 해법)

  • 김기태;도승용;성명기;박순달
    • Journal of the military operations research society of Korea
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    • v.26 no.1
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    • pp.89-99
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    • 2000
  • This paper deals with a heuristic algorithm for the vehicle routing-scheduling problem to minimize the total travel distance and the total cost. Because the aim of the Clarke-Wright method, one of famous heuristic methods, is to minimize the total travel distance of vehicles, it cannot consider the cost if the cost and the travel distance is not proportional. In the Clarke-Wright method, the route of each vehicle is found by using the saving matrix which is made by an assumption that the vehicle comes back to the starting point. The problem dealt with in the paper, however, does not need the vehicle to come back because each vehicle has its hoping-start-points and hoping-destination-points. Therefore we need a different saving matrix appropriate to this occasion. We propose a method to find an initial solution by applying network simplex method after transforming the vehicle routing-scheduling problem into the minimum cost problem. Moreover, we propose a method to minimize the total travel distance by using the modified saving matrix which is appropriate to no-return occasion and the method for the case of plural types of vehicles and freights.

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