• 제목/요약/키워드: NP-hard Problems

검색결과 130건 처리시간 0.023초

ISP 네트워크간 상호접속 모델 (An Interconnection Model of ISP Networks)

  • 최은정;차동완
    • 한국경영과학회지
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    • 제30권4호
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    • pp.151-161
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    • 2005
  • For Internet service providers (ISPs), there are three common types of interconnection agreements : private peering, public peering and transit. One of the most important problems for a single ISP is to determine which other ISPs to interconnect with, and under which agreements. The problem can be then to find a set of private peering providers, transit providers and Internet exchanges (IXs) when the following input data are assumed to be given : a set of BGP addresses with traffic demands, and a set of potential service providers (Private peering/transit providers and IXs) with routing information, cost functions and capacities. The objective is to minimize the total interconnection cost. We show that the problem is NP-hard, give a mixed-integer programming model, and propose a heuristic algorithm. Computational experience with a set of test instances shows the remarkable performance of the proposed algorithm of rapidly generating near-optimal solutions.

최단경로문제에서 k-치명호를 결정하는 진화 알고리듬의 개발 (Development of Evolutionary Algorithms for Determining the k most Vital Arcs in Shortest Path Problem)

  • 정호연;김여근
    • 한국경영과학회지
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    • 제26권2호
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    • pp.47-58
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    • 2001
  • The purpose of this study is to present methods for determining the k most vital arcs (k-MVAs) in shortest path problem (SPP) using evolutionary algorithms. The problem of finding the k-MVAs in SPP is to find a set of k arcs whose simultaneous removal from the network causes the greatest increase in the shortest distance between two specified nodes. Generally, the problem of determining the k-MVAs in SPP has been known as NP-hard. Therefore, to deal with problems of the real world, heuristic algorithms are needed. In this study we present three kinds of evolutionary algorithms for finding the k-MVAs in SPP, and then to evaluate the performance of proposed algorithms.

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Tandem형 AGV 를 통합한 셀형 제조시스템의 설계 (Design of Cellular Manufacturing Systems Integrating Automated Guided Vehicles under a Tandem Configuration)

  • 고창성
    • 한국경영과학회지
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    • 제23권1호
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    • pp.17-28
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    • 1998
  • This study suggests a procedure for designing cellular manufacturing systems (CMS) which are combined with automated guided vehicles (AGVs) using a tandem configuration. So far most of the previous studies have dealt with conventional design problems not considering the layout and the characteristics of transporters used in CMS. A mathematical model is developed using the service time to perform material transfers as a suitable meassure. The service capacity of AGVs and space limitations are also reflected in this model. As the model can be shown strongly NP-hard, a heuristic algorithm is presented, in which each cell is temporarily formed using both the set covering model and similarity coefficients, and then locations of the cells are determined by means of tabu search and finally machine perturbations are carried out. An example problem is solved to demonstrate the algorithm developed.

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신장 트리 기반 표현과 MAX CUT 문제로의 응용 (A Spanning Tree-based Representation and Its Application to the MAX CUT Problem)

  • 현수환;김용혁;서기성
    • 제어로봇시스템학회논문지
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    • 제18권12호
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    • pp.1096-1100
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    • 2012
  • Most of previous genetic algorithms for solving graph problems have used a vertex-based encoding. We proposed an edge encoding based new genetic algorithm using a spanning tree. Contrary to general edge-based encoding, a spanning tree-based encoding represents only feasible partitions. As a target problem, we adopted the MAX CUT problem, which is well known as a representative NP-hard problem, and examined the performance of the proposed genetic algorithm. The experiments on benchmark graphs are executed and compared with vertex-based encoding. Performance improvements of the spanning tree-based encoding on sparse graphs was observed.

시간제약이 있는 차량경로문제에 대한 Hybrid 탐색 (Hybrid Search for Vehicle Routing Problem With Time Windows)

  • 이화기;이홍희;이성우;이승우
    • 산업경영시스템학회지
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    • 제29권3호
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    • pp.62-69
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    • 2006
  • Vehicle routing problem with time windows is determined each vehicle route in order to minimize the transportation costs. All delivery points in geography have various time restriction in camparision with the basic vehicle routing problem. Vechicle routing problem with time windows is known to be NP-hard, and it needs a lot of computing time to get the optimal solution, so that heuristics are more frequently developed than optimal algorithms. This study aims to develop a heuristic method which combines guided local search with a tabu search in order to minimize the transportation costs for the vehicle routing assignment and uses ILOG programming library to solve. The computational tests were performed using the benchmark problems.

Railway Track Maintenance Scheduling using Artificial Bee Colony and Harmony Search

  • Kim, Ki-Dong;Kim, Sung-Soo;Nam, Duk-Hee;Jeong, Hanil
    • 센서학회지
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    • 제25권2호
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    • pp.91-102
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    • 2016
  • The objective of this paper is to propose a heuristic algorithm to optimize the railway track maintenance scheduling, a NP-hard problem, by reflecting conditions of the actual field more quickly and easily. We develop the mechanism based on Binary Artificial Bee Colony (BABC) and Binary Harmony Search (BHS), and verify their performance through simulation experiments. Our proposed BABC and BHS mechanisms were applied to problems composed of 30, 60, 100, and 200 operations for railway track maintenance scheduling to carry out experiments and analysis. On comparing it with the results solved by CPLEX, it is found that the mechanism could present an optimal solution within limited time by user.

퍼지 환경하에서 품질수준 확보를 위한 일정계획에 관한 연구 -Bottleneck을 고려한 생산라인에서- (A Bottleneck-Based Production Scheduling under Fuzzy Environment)

  • 이상완;신대혁
    • 품질경영학회지
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    • 제23권3호
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    • pp.156-166
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    • 1995
  • Job shop scheduling problem is a complex system and an NP-hard problem. Thus it is natural to look for heuristic method. We consider the multi-part production scheduling problem for quality level in a job shop scheduling under the existence of alternative routings. The problem is more complex if the processing time is imprecision. It requires suitable method to deal with imprecision. Fuzzy set theory can be useful in modeling and solving scheduling problems with uncertain processing times. Li-Lee fuzzy number comparison method will be used to compare processing times that evaluated under fuzziness. This study presents heuristic method for quality level in bottleneck-based job shop scheduling under fuzzy environment. On the basis of the proposed method, an example is presented.

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평면적 저장 위치 할당 문제에 대한 유전자 알고리즘 (Genetic Algorithm of the Planar Storage Location Assignment Problem)

  • 박창규;서준용
    • 대한산업공학회지
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    • 제35권2호
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    • pp.129-140
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    • 2009
  • This paper introduces the planar storage location assignment problem (PSLAP) that no research has attempted to mathematically solve. The PSLAP can be defined as the assignment of the inbound and outbound objects to the storage yard with aim of minimizing the number of obstructive object moves. The storage yard allows only planar moves of objects. The PSLAP usually occurs in the assembly block stockyard operations at a shipyard. This paper formulates the PSLAP using a mathematical programming model, but which belongs to the NP-hard problems category. Thus this paper utilizes an efficient genetic algorithm (GA) to solve the PSLAP for real-sized instances. The performance of the proposed mathematical programming model and developed GA is verified by a number of numerical experiments.

혼합형 유전자 알고리즘을 이용한 웹 기반의 차량 경로 문제 (WWW-based Vehicle Routing Problem using Mixed Genetic Algorithm)

  • 김기섭;양병학
    • 한국국방경영분석학회지
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    • 제24권2호
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    • pp.117-129
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    • 1998
  • This study is concerned with developing a heuristic for a web-based vehicle routing problem using mixed genetic algorithm(VRPMGA) which determines each vehicle route in order to minimize the transportation costs, subject to meeting the demands of all delivery points. VRP is known to be NP-hard, and it needs a lot of computing time to get the optimal solution, so that heuristics are more frequently developed than optimal algorithms. This study aims to develop a mixed genetic algorithm by partitioned strategy which can give a good solution in comparatively brief time. The good features of the VRPMGA are, fristly, the ability of early convergence and, secondly, the capability of producing multiple, alternative, and near-optimal solutions. The VRPMGA is a useful algorithm that can be appliable to VRP and TSP. Finally, the computational test were performed using the benchmark problems and the proposed heuristic is compared with the other existing algorithms (COSA). The result of computational tests shows that proposed heuristic gives good solutions, in much shorter time, which are same as the best known solutions in the pervious research.

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분산제조환경 하에서 최소 비용을 갖는 공급자 선정 (Selection of Suppliers with Minimum Costs in a Distributed Manufacturing Environment)

  • 고창성;김태운
    • 한국경영과학회지
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    • 제25권2호
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    • pp.1-10
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    • 2000
  • With every passing month a number of new virtual enterprises emerge on the internet. Many companies have responded to the idea of distributed manufacturing in which the value adding activities comprising a finished product are dispersed geographically in a remote place. This study suggests an idea for selecting suppliers in a distributed manufacturing environment which enables machining companies to share their capacities. A mathematical model is constructed to show how to minimize the sum of the operation and transportation costs based on alternative process plans considering several kinds of operation characteristics in the real world. Four heuristic algorithms are developed to get an optimal or near-optimal solution using tabu search since the model is proven NP-hard. Example problems are tested to illustrate their procedure and performance.

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