• 제목/요약/키워드: NP-hard Problem

검색결과 366건 처리시간 0.028초

Multiple Path Based Vehicle Routing in Dynamic and Stochastic Transportation Networks

  • Park, Dong-joo
    • 대한교통학회:학술대회논문집
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    • 대한교통학회 2000년도 제37회 학술발표회논문집
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    • pp.25-47
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    • 2000
  • In route guidance systems fastest-path routing has typically been adopted because of its simplicity. However, empirical studies on route choice behavior have shown that drivers use numerous criteria in choosing a route. The objective of this study is to develop computationally efficient algorithms for identifying a manageable subset of the nondominated (i.e. Pareto optimal) paths for real-time vehicle routing which reflect the drivers' preferences and route choice behaviors. We propose two pruning algorithms that reduce the search area based on a context-dependent linear utility function and thus reduce the computation time. The basic notion of the proposed approach is that ⅰ) enumerating all nondominated paths is computationally too expensive, ⅱ) obtaining a stable mathematical representation of the drivers' utility function is theoretically difficult and impractical, and ⅲ) obtaining optimal path given a nonlinear utility function is a NP-hard problem. Consequently, a heuristic two-stage strategy which identifies multiple routes and then select the near-optimal path may be effective and practical. As the first stage, we utilize the relaxation based pruning technique based on an entropy model to recognize and discard most of the nondominated paths that do not reflect the drivers' preference and/or the context-dependency of the preference. In addition, to make sure that paths identified are dissimilar in terms of links used, the number of shared links between routes is limited. We test the proposed algorithms in a large real-life traffic network and show that the algorithms reduce CPU time significantly compared with conventional multi-criteria shortest path algorithms while the attributes of the routes identified reflect drivers' preferences and generic route choice behaviors well.

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Content-Aware D2D Caching for Reducing Visiting Latency in Virtualized Cellular Networks

  • Sun, Guolin;Al-Ward, Hisham;Boateng, Gordon Owusu;Jiang, Wei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권2호
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    • pp.514-535
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    • 2019
  • Information-centric networks operate under the assumption that all network components have built-in caching capabilities. Integrating the caching strategies of information centric networking (ICN) with wireless virtualization improves the gain of virtual infrastructure content caching. In this paper, we propose a framework for software-defined information centric virtualized wireless device-to-device (D2D) networks. Enabling D2D communications in virtualized ICN increases the spectral efficiency due to reuse and proximity gains while the software-defined network (SDN) as a platform also simplifies the computational overhead. In this framework, we propose a joint virtual resource and cache allocation solution for latency-sensitive applications in the next-generation cellular networks. As the formulated problem is NP-hard, we design low-complexity heuristic algorithms which are intuitive and efficient. In our proposed framework, different services can share a pool of infrastructure items. We evaluate our proposed framework and algorithm through extensive simulations. The results demonstrate significant improvements in terms of visiting latency, end user QoE, InP resource utilization and MVNO utility gain.

그래프 마이닝에서 그래프 동형판단연산의 향상기법 (Improved approach of calculating the same shape in graph mining)

  • 노영상;윤은일;김명준
    • 한국컴퓨터정보학회논문지
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    • 제14권10호
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    • pp.251-258
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    • 2009
  • 그래프마이닝에서 그래프패턴의 동형판단문제는 지수함수적 계산시간을 요구하기 때문에 그래프마이닝의 전체수행시간에서 동형판단 연산이 차지하는 비율이 매우 높다. 그러므로 그래프마이닝 알고리즘은 그래프동형판단을 최대한 효율적으로 할 필요가 있다. 본 논문은 그래프마이닝에서 빠른 수행시간을 보이는 gaston 알고리즘의 동형판단효율성을 증가시켜 수행시간을 평가해 보았으며, 제시한 방법으로 인해 더욱 향상된 성능을 보인다.

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

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제15권4호
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    • pp.249-257
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    • 2015
  • 본 논문은 지금까지 해결하지 못한 난제 중 하나인 외판원 문제의 최적 해를 구하는 발견적 알고리즘을 제안한다. 제안된 알고리즘은 초기 경로를 결정하기 위해 기존의 DNN을 변형한 SW-DNN, DW-DNN과 DC-DNN을 제안하였다. 초기 해는 DNN, SW-DNN, DW-DNN과 DC-DNN을 적용하여 최소 경로 길이를 가진 방법을 선택한다. 초기 해에 대해 최적 해를 구하기 위해 먼저 삭제 대상 간선을 선택하는 방법을 결정하였으며, 이들 간선들에 대해 지역 탐색 방법인 k-opt 중에서 2, 2.5, 3-opt를 먼저 적용하고, 삭제 대상 간선들 중 삭제되지 않은 간선들에 대해 4-opt를 적용하였다. 제안된 알고리즘을 대규모의 TSP인 26개의 유럽 도시들을 방문하는 TSP-1과 49개의 미국 도시들을 방문하는 TSP-2에 적용한 결과 모두 최적 해를 구하는데 성공하였다. 제안된 알고리즘은 지금까지 발견적 방법으로는 TSP의 최적 해를 구하지 못한다는 미신을 타파하였고, TSP의 알고리즘으로 적용할 수 있을 것이다.

Constrained Relay Node Deployment using an improved multi-objective Artificial Bee Colony in Wireless Sensor Networks

  • Yu, Wenjie;Li, Xunbo;Li, Xiang;Zeng, Zhi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권6호
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    • pp.2889-2909
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    • 2017
  • Wireless sensor networks (WSNs) have attracted lots of attention in recent years due to their potential for various applications. In this paper, we seek how to efficiently deploy relay nodes into traditional static WSNs with constrained locations, aiming to satisfy specific requirements of the industry, such as average energy consumption and average network reliability. This constrained relay node deployment problem (CRNDP) is known as NP-hard optimization problem in the literature. We consider addressing this multi-objective (MO) optimization problem with an improved Artificial Bee Colony (ABC) algorithm with a linear local search (MOABCLLS), which is an extension of an improved ABC and applies two strategies of MO optimization. In order to verify the effectiveness of the MOABCLLS, two versions of MO ABC, two additional standard genetic algorithms, NSGA-II and SPEA2, and two different MO trajectory algorithms are included for comparison. We employ these metaheuristics on a test data set obtained from the literature. For an in-depth analysis of the behavior of the MOABCLLS compared to traditional methodologies, a statistical procedure is utilized to analyze the results. After studying the results, it is concluded that constrained relay node deployment using the MOABCLLS outperforms the performance of the other algorithms, based on two MO quality metrics: hypervolume and coverage of two sets.

Joint Mode Selection and Resource Allocation for Mobile Relay-Aided Device-to-Device Communication

  • Tang, Rui;Zhao, Jihong;Qu, Hua;Zhu, Zhengcang;Zhang, Yanpeng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권3호
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    • pp.950-975
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    • 2016
  • Device-to-Device (D2D) communication underlaying cellular networks is a promising add-on component for future radio communication systems. It provides more access opportunities for local device pairs and enhances system throughput (ST), especially when mobile relays (MR) are further enabled to facilitate D2D links when the channel condition of their desired links is unfavorable. However, mutual interference is inevitable due to spectral reuse, and moreover, selecting a suitable transmission mode to benefit the correlated resource allocation (RA) is another difficult problem. We aim to optimize ST of the hybrid system via joint consideration of mode selection (MS) and RA, which includes admission control (AC), power control (PC), channel assignment (CA) and relay selection (RS). However, the original problem is generally NP-hard; therefore, we decompose it into two parts where a hierarchical structure exists: (i) PC is mode-dependent, but its optimality can be perfectly addressed for any given mode with additional AC design to achieve individual quality-of-service requirements. (ii) Based on that optimality, the joint design of MS, CA and RS can be viewed from the graph perspective and transferred into the maximum weighted independent set problem, which is then approximated by our greedy algorithm in polynomial-time. Thanks to the numerical results, we elucidate the efficacy of our mechanism and observe a resulting gain in MR-aided D2D communication.

An Energy Harvesting Aware Routing Algorithm for Hierarchical Clustering Wireless Sensor Networks

  • Tang, Chaowei;Tan, Qian;Han, Yanni;An, Wei;Li, Haibo;Tang, Hui
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권2호
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    • pp.504-521
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    • 2016
  • Recently, energy harvesting technology has been integrated into wireless sensor networks to ameliorate the nodes' energy limitation problem. In theory, the wireless sensor node equipped with an energy harvesting module can work permanently until hardware failures happen. However, due to the change of power supply, the traditional hierarchical network routing protocol can not be effectively adopted in energy harvesting wireless sensor networks. In this paper, we improve the Low-Energy Adaptive Clustering Hierarchy (LEACH) protocol to make it suitable for the energy harvesting wireless sensor networks. Specifically, the cluster heads are selected according to the estimation of nodes' harvested energy and consumed energy. Preference is given to the nodes with high harvested energy while taking the energy consumption rate into account. The utilization of harvested energy is mathematically formulated as a max-min optimization problem which maximizes the minimum energy conservation of each node. We have proved that maximizing the minimum energy conservation is an NP-hard problem theoretically. Thus, a polynomial time algorithm has been proposed to derive the near-optimal performance. Extensive simulation results show that our proposed routing scheme outperforms previous works in terms of energy conservation and balanced distribution.

작업 종속 및 위치기반 선형학습효과를 갖는 2-에이전트 단일기계 스케줄링 (Two-Agent Single-Machine Scheduling with Linear Job-Dependent Position-Based Learning Effects)

  • 최진영
    • 산업경영시스템학회지
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    • 제38권3호
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    • pp.169-180
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    • 2015
  • Recently, scheduling problems with position-dependent processing times have received considerable attention in the literature, where the processing times of jobs are dependent on the processing sequences. However, they did not consider cases in which each processed job has different learning or aging ratios. This means that the actual processing time for a job can be determined not only by the processing sequence, but also by the learning/aging ratio, which can reflect the degree of processing difficulties in subsequent jobs. Motivated by these remarks, in this paper, we consider a two-agent single-machine scheduling problem with linear job-dependent position-based learning effects, where two agents compete to use a common single machine and each job has a different learning ratio. Specifically, we take into account two different objective functions for two agents: one agent minimizes the total weighted completion time, and the other restricts the makespan to less than an upper bound. After formally defining the problem by developing a mixed integer non-linear programming formulation, we devise a branch-and-bound (B&B) algorithm to give optimal solutions by developing four dominance properties based on a pairwise interchange comparison and four properties regarding the feasibility of a considered sequence. We suggest a lower bound to speed up the search procedure in the B&B algorithm by fathoming any non-prominent nodes. As this problem is at least NP-hard, we suggest efficient genetic algorithms using different methods to generate the initial population and two crossover operations. Computational results show that the proposed algorithms are efficient to obtain near-optimal solutions.

분해옵션 포함 서비스부품 로트사이징 휴리스틱 (A Heuristic for Service-Parts Lot-Sizing with Disassembly Option)

  • 장진명;김화중;손동훈;이동호
    • 산업경영시스템학회지
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    • 제44권2호
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    • pp.24-35
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    • 2021
  • Due to increasing awareness on the treatment of end-of-use/life products, disassembly has been a fast-growing research area of interest for many researchers over recent decades. This paper introduces a novel lot-sizing problem that has not been studied in the literature, which is the service-parts lot-sizing with disassembly option. The disassembly option implies that the demands of service parts can be fulfilled by newly manufactured parts, but also by disassembled parts. The disassembled parts are the ones recovered after the disassembly of end-of-use/life products. The objective of the considered problem is to maximize the total profit, i.e., the revenue of selling the service parts minus the total cost of the fixed setup, production, disassembly, inventory holding, and disposal over a planning horizon. This paper proves that the single-period version of the considered problem is NP-hard and suggests a heuristic by combining a simulated annealing algorithm and a linear-programming relaxation. Computational experiment results show that the heuristic generates near-optimal solutions within reasonable computation time, which implies that the heuristic is a viable optimization tool for the service parts inventory management. In addition, sensitivity analyses indicate that deciding an appropriate price of disassembled parts and an appropriate collection amount of EOLs are very important for sustainable service parts systems.

센서 네트워크에서 실시간 침입탐지 라우팅을 위한 다목적 개미 군집 최적화 알고리즘 (A Multi-objective Ant Colony Optimization Algorithm for Real Time Intrusion Detection Routing in Sensor Network)

  • 강승호
    • 정보처리학회논문지:컴퓨터 및 통신 시스템
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    • 제2권5호
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    • pp.191-198
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    • 2013
  • 이동하는 베이스 노드를 가진 무선 센서 네트워크(WSN)에서 실시간 침입탐지를 위해서는 침입을 탐지한 센서로부터 베이스 노드까지의 정보 전달이 짧은 라우팅 경로를 통해 이루어져야 한다. 센서 네트워크에서 최소 Wiener수 신장트리(MWST)기반 라우팅 방법은 최소 신장트리(MST)기반 라우팅 방법에 비해 작은 홉 수를 보장하고 있어서 실시간 침입탐지에 적합함이 알려져 있다. 하지만 주어진 네트워크로부터 최소 Wiener 수 신장트리를 찾는 문제는 NP-hard이고 특정 노드에 대한 의존성이 커서 최소 신장 트리 기반 라우팅 방법에 비해 짧은 네트워크 수명을 갖는 단점이 있다. 본 논문은 실시간 침입탐지를 위해 최소 Wiener수 신장트리를 개선해 작은 홉 수와 긴 네트워크의 수명을 동시에 보장하는 라우팅 트리를 찾는 다목적 개미 군집 최적화 알고리즘을 제안한다. 그리고 제안한 라우팅 트리의 성능을 패킷의 평균 전송 홉 수 및 네트워크 전력 소모, 네트워크의 수명 측면에서 최소 신장트리기반 라우팅 방법 및 최소 Wiener수 신장트리기반 라우팅 방법과 비교한다.