• Title/Summary/Keyword: NP-hard

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A Proposal of an New Algorithm for RWA Problem on Multi-optical Network (다중 광 네트워크에서 RWA문제를 해결하는 새로운 알고리즘 제안)

  • 강성수;김창근;김순석;탁한호
    • Journal of Korea Multimedia Society
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    • v.2 no.4
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    • pp.451-458
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    • 1999
  • This paper considers the problem of routing connections in multi-optical tree network using WDM (Wavelength Division Multiplexing), where each connection between a pair of nodes in the network is assigned a path through the network and a wavelength on that path, such that connections whose paths share a common link in the network are assigned different wavelengths. The problem of optimal colouring of paths on multi-optical network is NP-hard[1], but if that is the colouring of all paths, then there exists an efficient polynomial time algorithm. In this paper, using divided & conquer method we gave an efficient algorithm to assign wavelengths to the all paths of a tree network based on the theory of (7) and our time complexity $O(n^4log\; n)$.

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Optimal and Approximate Solutions of Object Functions for Base Station Location Problem (기지국 위치 문제를 위한 목적함수의 최적해 및 근사해)

  • Sohn, Surg-Won
    • The KIPS Transactions:PartC
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    • v.14C no.2
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    • pp.179-184
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    • 2007
  • The problem of selecting base station location in the design of mobile communication system has been basically regarded as a problem of assigning maximum users in the cell to the minimum base stations while maintaining minimum SIR. and it is NP hard. The objective function of warehouse location problem, which has been used by many researchers, is not proper function in the base station location problem in CDMA mobile communication, The optimal and approximate solutions have been presented by using proposed object function and algorithms of exact solution, and the simulation results have been assessed and analyzed. The optimal and approximate solutions are found by using mixed integer programming instead of meta-heuristic search methods.

Efficient Genetic Algorithm for Resource Constrained Project Scheduling Problem (자원 제약이 있는 프로젝트 스케줄링을 위한 효율적인 유전알고리즘)

  • Lee, Sang-Wook
    • The Journal of the Korea Contents Association
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    • v.11 no.6
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    • pp.59-66
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    • 2011
  • Resource constrained project scheduling problem with multiple resource constraints as well as precedence constraints is well-known as one of the NP-hard problem. Since these problems can't be solved by the deterministic method during reasonable time, the heuristics are generally used for getting a sub-optimal during reasonable time. In this paper, we introduce an efficient genetic algorithm for resource constrained project scheduling problem using crossover which is applying schema theory and real world tournament selection strategy. Experimental results showed that the proposed algorithm is superior to conventional algorithm.

Meta-heuristic Method for the Single Source Capacitated Facility Location Problem (물류 센터 위치 선정 및 대리점 할당 모형에 대한 휴리스틱 해법)

  • Soak, Sang-Moon;Lee, Sang-Wook
    • The Journal of the Korea Contents Association
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    • v.10 no.9
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    • pp.107-116
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    • 2010
  • The facility location problem is one of the traditional optimization problems. In this paper, we deal with the single source capacitated facility location problem (SSCFLP) and it is known as an NP-hard problem. Thus, it seems to be natural to use a heuristic approach such as evolutionary algorithms for solving the SSCFLP. This paper introduces a new efficient evolutionary algorithm for the SSCFLP. The proposed algorithm is devised by incorporating a general adaptive link adjustment evolutionary algorithm and three heuristic local search methods. Finally we compare the proposed algorithm with the previous algorithms and show the proposed algorithm finds optimum solutions at almost all middle size test instances and very stable solutions at larger size test instances.

R&D Project Portfolio Selection Problem (R&D Project Portfolio 선정 문제)

  • Ahn, Tae-Ho;Kim, Myung-Gwan
    • Korean Management Science Review
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    • v.25 no.1
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    • pp.1-9
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    • 2008
  • This paper investigates the R&D project portfolio selection problem. Despite its importance and impact on real world projects, there exist few practical techniques that help construct an non-dominated portfolio for a decision makers satisfaction. One of the difficulties constructing the portfolio is that such project portfolio problem is, in nature, a multi-attribute decision-making problem, which is an NP-hard class problem. This paper investigates the R&D project portfolio selection problem. Despite its importance and impact on real world projects, there exist few practical techniques that help construct an non-dominated portfolio for a decision makers satisfaction. One of the difficulties constructing the portfolio is that such project portfolio problem is, in nature, a multi-attribute decision-making problem, which is an NP-hard class problem. In order to obtain the non-dominated portfolio that a decision maker or a user is satisfied with, we devise a user-interface algorithm, in that the user provides the maximum/minimum input values for each project attribute. Then the system searches the non-dominated portfolio that satisfies all the given constraints if such a portfolio exists. The process that the user adjusts the maximum/minimum values on the basis of the portfolio found continues repeatedly until the user is optimally satisfied with. We illustrate the algorithm proposed, and the computational results show the efficacy of our procedure.

Performance Analysis of Data Association Applied Frequency Weighting in 3-Passive Linear Array Sonars (주파수 가중치를 적용한 3조의 수동 선배열 소나 센서의 정보 연관 성능 분석)

  • 구본화;윤제한;홍우영;고한석
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.2
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    • pp.109-116
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    • 2004
  • This paper deals with data association using 3 sets of passive linear array sonars (PUS) geometrically positioned in a Y-shaped configuration, but fixed in an underwater environment. The data association problem is directly transformed into a 3-D assignment problem, which is known to be NP-hard. For generic passive sensors, it can be sotted using conventional algorithms, while it in PLAS becomes a formidable task due to the presence of bearing ambiguity. In particular, we proposed data association method robust to bearing measurements errors by incorporating frequency information and analyze a region of ghost problem by geometrical relation PUS and target. We analyzed the effectiveness of the proposed method by representative simulation in multi-target.

Solving Nonlinear Fixed Charge Transportation Problem by Spanning Tree-based Genetic Algorithm (신장트리 기반 유전자 알고리즘에 의한 비선형 fcTP 해법)

  • Jo, Jung-Bok;Ko, Suc-Bum;Gen, Mitsuo
    • Journal of KIISE:Software and Applications
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    • v.32 no.8
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    • pp.752-758
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    • 2005
  • The transportation problem (TP) is known as one of the important problems in Industrial Engineering and Operational Research (IE/OR) and computer science. When the problem is associated with additional fixed cost for establishing the facilities or fulfilling the demand of customers, then it is called fixed charge transportation problem (fcTP). This problem is one of NP-hard problems which is difficult to solve it by traditional methods. This paper aims to show the application of spanning-tree based Genetic Algorithm (GA)approach for solving nonlinear fixed charge transportation problem. Our new idea lies on the GA representation that includes the feasibility criteria and repairing procedure for the chromosome. Several numerical experimental results are presented to show the effectiveness of the proposed method.

A Study on Reliability Optimal Design of Satellite system(Based on MSC System's structure of KOMPSAT-2) (인공위성 시스템의 신뢰도 최적 설계에 관한 연구(아리랑위성 2호의 MSC 시스템 구조를 중심으로))

  • Kim, Heung-Seob;Jeon, Geon-Wook
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.12
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    • pp.1150-1159
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    • 2011
  • Reliability is defined as a probability that a system will operate properly for a specified period of time under the design operating conditions without failure. Reliability-Redundancy Optimization Problem(RROP) involves selection of components with multiple choices, redundancy levels and redundancy strategy(Active or Standby) for maximizing system reliability with constraints such as cost, weight, etc. Based on the design configuration of Multi-Spectral Camera(MSC) system of KOMPSAT-2, the mathematical programming model for RROP is suggested in this study. Due to the nature of RROP, i.e. NP-hard problem, Parallel Particle Swarm Optimization(PPSO) algorithm is proposed to solve it. The result of the numerical experiment for RROP is presented as instance of recommended design configuration at some mission time.

DNA Computing Adopting DNA coding Method to solve effective Knapsack Problem (효과적인 배낭 문제 해결을 위해 DNA 코딩 방법을 적용한 DNA 컴퓨팅)

  • Kim Eun-Gyeong;Lee Sang-Yong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.6
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    • pp.730-735
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    • 2005
  • Though Knapsack Problem appears to be simple, it is a NP-hard problem that is not solved in polynomial time as combinational optimization problems. To solve this problem, GA(Genetic Algorithms) was used in the past. However, there were difficulties in real experiments because the conventional method didn't reflect the precise characteristics of DNA. In this paper we proposed ACO (Algorithm for Code Optimization) that applies DNA coding method to DNA computing to solve problems of Knapsack Problem. ACO was applied to (0,1) Knapsack Problem; as a result, it reduced experimental errors as compared with conventional methods, and found accurate solutions more rapidly.

A Comparative Study of Precedence-Preserving Genetic Operators in Sequential Ordering Problems and Job Shop Scheduling Problems (서열 순서화 문제와 Job Shop 문제에 대한 선행관계유지 유전 연산자의 비교)

  • Lee, Hye-Ree;Lee, Keon-Myung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.5
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    • pp.563-570
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    • 2004
  • Genetic algorithms have been successfully applied to various optimization problems belonging to NP-hard problems. The sequential ordering problems(SOP) and the job shop scheduling problems(JSP) are well-known NP-hard problems with strong influence on industrial applications. Both problems share some common properties in that they have some imposed precedence constraints. When genetic algorithms are applied to this kind of problems, it is desirable for genetic operators to be designed to produce chromosomes satisfying the imposed precedence constraints. Several genetic operators applicable to such problems have been proposed. We call such genetic operators precedence-preserving genetic operators. This paper presents three existing precedence-preserving genetic operators: Precedence -Preserving Crossover(PPX), Precedence-preserving Order-based Crossover (POX), and Maximum Partial Order! Arbitrary Insertion (MPO/AI). In addition, it proposes two new operators named Precedence-Preserving Edge Recombination (PPER) and Multiple Selection Precedence-preserving Order-based Crossover (MSPOX) applicable to such problems. It compares the performance of these genetic operators for SOP and JSP in the perspective of their solution quality and execution time.