• Title/Summary/Keyword: NP-hard Problem

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Refining Rules of Decision Tree Using Extended Data Expression (확장형 데이터 표현을 이용하는 이진트리의 룰 개선)

  • Jeon, Hae Sook;Lee, Won Don
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.6
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    • pp.1283-1293
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    • 2014
  • In ubiquitous environment, data are changing rapidly and new data is coming as times passes. And sometimes all of the past data will be lost if there is not sufficient space in memory. Therefore, there is a need to make rules and combine it with new data not to lose all the past data or to deal with large amounts of data. In making decision trees and extracting rules, the weight of each of rules is generally determined by the total number of the class at leaf. The computational problem of finding a minimum finite state acceptor compatible with given data is NP-hard. We assume that rules extracted are not correct and may have the loss of some information. Because of this precondition. this paper presents a new approach for refining rules. It controls their weight of rules of previous knowledge or data. In solving rule refinement, this paper tries to make a variety of rules with pruning method with majority and minority properties, control weight of each of rules and observe the change of performances. In this paper, the decision tree classifier with extended data expression having static weight is used for this proposed study. Experiments show that performances conducted with a new policy of refining rules may get better.

Optimization of Bi-criteria Scheduling using Genetic Algorithms (유전 알고리즘을 이용한 두 가지 목적을 가지는 스케줄링의 최적화)

  • Kim, Hyun-Chul
    • Journal of Internet Computing and Services
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    • v.6 no.6
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    • pp.99-106
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    • 2005
  • The task scheduling in multiprocessor system Is one of the key elements in the effective utilization of multiprocessor systems. The optimal assignment of tasks to multiprocessor is, in almost all practical cases, an NP hard problem. Consequently various modern heuristics based algorithms have been proposed for practical reason. Recently, several approaches using Genetic Algorithm (GA) are proposed. However, these algorithms have only one objective such as minimizing cost and makespan. This paper proposes a new task scheduling algorithm using Genetic Algorithm combined simulated annealing (GA+SA) on multiprocessor environment. In solution algorithms, the Genetic Algorithm (GA) and the simulated annealing (SA) are cooperatively used. In this method. the convergence of GA is improved by introducing the probability of SA as the criterion for acceptance of new trial solution. The objective of proposed scheduling algorithm is to minimize makespan and total number of processors used. The effectiveness of the proposed algorithm is shown through simulation studies. In simulation studies, the results of proposed algorithm show better than that of other algorithms.

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User Bandwidth Demand Centric Soft-Association Control in Wi-Fi Networks

  • Sun, Guolin;Adolphe, Sebakara Samuel Rene;Zhang, Hangming;Liu, Guisong;Jiang, Wei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.2
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    • pp.709-730
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    • 2017
  • To address the challenge of unprecedented growth in mobile data traffic, ultra-dense network deployment is a cost efficient solution to offload the traffic over some small cells. The overlapped coverage areas of small cells create more than one candidate access points for one mobile user. Signal strength based user association in IEEE 802.11 results in a significantly unbalanced load distribution among access points. However, the effective bandwidth demand of each user actually differs vastly due to their different preferences for mobile applications. In this paper, we formulate a set of non-linear integer programming models for joint user association control and user demand guarantee problem. In this model, we are trying to maximize the system capacity and guarantee the effective bandwidth demand for each user by soft-association control with a software defined network controller. With the fact of NP-hard complexity of non-linear integer programming solver, we propose a Kernighan Lin Algorithm based graph-partitioning method for a large-scale network. Finally, we evaluated the performance of the proposed algorithm for the edge users with heterogeneous bandwidth demands and mobility scenarios. Simulation results show that the proposed adaptive soft-association control can achieve a better performance than the other two and improves the individual quality of user experience with a little price on system throughput.

Hybrid Simulated Annealing for Data Clustering (데이터 클러스터링을 위한 혼합 시뮬레이티드 어닐링)

  • Kim, Sung-Soo;Baek, Jun-Young;Kang, Beom-Soo
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.40 no.2
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    • pp.92-98
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    • 2017
  • Data clustering determines a group of patterns using similarity measure in a dataset and is one of the most important and difficult technique in data mining. Clustering can be formally considered as a particular kind of NP-hard grouping problem. K-means algorithm which is popular and efficient, is sensitive for initialization and has the possibility to be stuck in local optimum because of hill climbing clustering method. This method is also not computationally feasible in practice, especially for large datasets and large number of clusters. Therefore, we need a robust and efficient clustering algorithm to find the global optimum (not local optimum) especially when much data is collected from many IoT (Internet of Things) devices in these days. The objective of this paper is to propose new Hybrid Simulated Annealing (HSA) which is combined simulated annealing with K-means for non-hierarchical clustering of big data. Simulated annealing (SA) is useful for diversified search in large search space and K-means is useful for converged search in predetermined search space. Our proposed method can balance the intensification and diversification to find the global optimal solution in big data clustering. The performance of HSA is validated using Iris, Wine, Glass, and Vowel UCI machine learning repository datasets comparing to previous studies by experiment and analysis. Our proposed KSAK (K-means+SA+K-means) and SAK (SA+K-means) are better than KSA(K-means+SA), SA, and K-means in our simulations. Our method has significantly improved accuracy and efficiency to find the global optimal data clustering solution for complex, real time, and costly data mining process.

An Improved Coyote Optimization Algorithm-Based Clustering for Extending Network Lifetime in Wireless Sensor Networks

  • Venkatesh Sivaprakasam;Vartika Kulshrestha;Godlin Atlas Lawrence Livingston;Senthilnathan Arumugam
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.17 no.7
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    • pp.1873-1893
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    • 2023
  • The development of lightweight, low energy and small-sized sensors incorporated with the wireless networks has brought about a phenomenal growth of Wireless Sensor Networks (WSNs) in its different fields of applications. Moreover, the routing of data is crucial in a wide number of critical applications that includes ecosystem monitoring, military and disaster management. However, the time-delay, energy imbalance and minimized network lifetime are considered as the key problems faced during the process of data transmission. Furthermore, only when the functionality of cluster head selection is available in WSNs, it is possible to improve energy and network lifetime. Besides that, the task of cluster head selection is regarded as an NP-hard optimization problem that can be effectively modelled using hybrid metaheuristic approaches. Due to this reason, an Improved Coyote Optimization Algorithm-based Clustering Technique (ICOACT) is proposed for extending the lifetime for making efficient choices for cluster heads while maintaining a consistent balance between exploitation and exploration. The issue of premature convergence and its tendency of being trapped into the local optima in the Improved Coyote Optimization Algorithm (ICOA) through the selection of center solution is used for replacing the best solution in the search space during the clustering functionality. The simulation results of the proposed ICOACT confirmed its efficiency by increasing the number of alive nodes, the total number of clusters formed with the least amount of end-to-end delay and mean packet loss rate.

A Hybrid Genetic Algorithm for the Identical Parallel Machine Total Tardiness Problem (동종 병렬기계에서 납기지연 최소화를 위한 혼합형 유전 알고리즘의 개발)

  • Choe, Hong-Jin;Lee, Jong-Yeong;Park, Mun-Won
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.624-627
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    • 2004
  • 본 연구는 동일한 병렬기계에서의 총 납기지연의 합을 최소화하는 일정계획 문제에 대해 다룬다. 이 문제는 Lenstra et al. (1977)에 의해 NP-hard로 알려져 있으며, 작업의 수와 기계의 수가 큰 현실적 문제에 대해 적절한 시간 내에 최적해를 찾는다는 것은 사실상 불가능하다. 따라서 본 연구에서는 이 문제를 해결하기 위하여 혼합형 유전 알고리즘(hybrid genetic algorithm)을 제안한다. 혼합형 유전 알고리즘에서는 임의로 발생시킨 모집단에 대해 먼저 유전 알고리즘(genetic algorithm)이 세대를 진행하며 해를 개선한다. 유전 알고리즘이 일정기간동안 더 이상 해를 개선하지 못하면, 부분탐색 알고리즘(local-search algorithm))이 유전 알고리즘의 모집단의 개체들에 대해 해의 개선을 시도한다. 즉, 부분 탐색 알고리즘은 모집단 속의 각각의 개체를 초기해로 하여 모집단 내의 개체 수만큼의 부분 최적해(local optimum)들을 구한다. 이렇게 구한 부분 최적해들로 새로운 모집단을 구성하면 다시 유전 알고리즘이 진행된다. 이 과정을 종료조건에 이를 때까지 번갈아가며 반복 수행한다. 본 연구에서 제안한 유전 알고리즘에서는 Bean(1994)이 제안한 Random key 방법으로 개체를 표현하였으며 Park(2000)이 제안한 3가지 교차 연산자들을 채용하였다. 부분탐색 알고리즘을 위해서는 쌍대교환(pair-wise interchange) 방법을 통해 이웃해를 생성하였다. 선행실험을 통하여 제안한 혼합형 유전알고리즘에서 사용하는 다양한 모수(parameter)값들을 최적화하였으며 알고리즘의 성능을 비교하기 위하여 기존의 알고리즘과도 비교실험을 수행하였다.복적인 지표가 채택되는 경우를 포함하고 있다. 셋째는 추상적이며 측정이 어려운 지표를 채택하고 있는 경우이다. 여기에는 지표에 대한 정확한 정의가 이루어져 있지 않아 피 평가자가 불필요하거나 과다한 평가 자료를 준비해야 하거나 평가자로 하여금 평가 시 혼돈을 유발할 가능성이 있거나, 또는 상위개념의 평가항목과 하위개념의 평가항목이 혼재되어 구분이 모호한 경우를 포함하고 있다. 바탕으로 '생태적 합리성'이라는 체계적인 지식교육을 거쳐서, '환경정의' 의식의 제고로 이어가고, 굵직한 '환경갈등'의 상황에서 뚜렷한 정치적 태도와 실천을 할 수 있는 '생태적 인간상'의 육성으로 나아갈 수 있어야 한다는 것이 필자의 생각이다. 이를 위해서는 어찌되었건 체험학습 영역에서는 환경현안에 대한 사회적 실천을 '교육 소재'로 삼을 수 있어야 하며, 교과학습 영역에서는 한국사회의 환경현안에 대한 정치경제적 접근을 외면하지 말고 교과서 저작의 소재로 삼을 수 있어야 하며, 이는 '환경관리주의'와 '녹색소비'에 머물러 있는 '환경 지식교육'과 실천을 한단계 진전시키는 작업으로 이어질 것이다. 이후 10년의 환경교육은 바로 '생태적 합리성'과 '환경정의'라는 두 '화두'에 터하여 세워져야 한다.배액에서 약해를 보였으나, 25% 야자지방산의 경우 50 ${\sim}$ 100배액 어디에서도 액해를 보이지 않았다. 별도로 적용한 시험에서, 토마토의 경우에도 25% 야자지방산 비누 50 ${\sim}$ 100배액 모두 약해를 발생하지 않았으나, 오이에서는 25% 야자지방산 비누 100배액에도 약해를 나타내었다. 12. 이상의 결과, 천연지방산을 이용하여 유기농업에 허용되는 각종의 살충비누를 제조할 수 있었으

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