• Title/Summary/Keyword: Weighted Sum Algorithm

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The Bees Algorithm with Weighted Sum Using Memorized Zones for Multi-objective Problem

  • Lee, Ji-Young;Oh, Jin-Seok
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.3
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    • pp.395-402
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    • 2009
  • This paper presents the newly developed Pareto-based multi-objective Bees Algorithm with weighted sum technique for solving a power system multi-objective nonlinear optimization problem. Specifically, the Pareto-based Bees Algorithm with memorized zone has been developed to alleviate both difficulties from classical techniques and intelligent techniques for multi-objective problems (MOP) and successfully applied to an Environmental/Economic (electric power) dispatch (EED) problem. This multi-objective Bees Algorithm has been examined and applied to the standard IEEE 30-bus six-generator test system. Simulation results have been compared to those obtained using other approaches. The comparison shows the potential and effectiveness of the proposed Bees Algorithm for solving the multi-objective EED problem.

Weighted sum Pareto optimization of a three dimensional passenger vehicle suspension model using NSGA-II for ride comfort and ride safety

  • Bagheri, Mohammad Reza;Mosayebi, Masoud;Mahdian, Asghar;Keshavarzi, Ahmad
    • Smart Structures and Systems
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    • v.22 no.4
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    • pp.469-479
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    • 2018
  • The present research study utilizes a multi-objective optimization method for Pareto optimization of an eight-degree of freedom full vehicle vibration model, adopting a non-dominated sorting genetic algorithm II (NSGA-II). In this research, a full set of ride comfort as well as ride safety parameters are considered as objective functions. These objective functions are divided in to two groups (ride comfort group and ride safety group) where the ones in one group are in conflict with those in the other. Also, in this research, a special optimizing technique and combinational method consisting of weighted sum method and Pareto optimization are applied to transform Pareto double-objective optimization to Pareto full-objective optimization which can simultaneously minimize all objectives. Using this technique, the full set of ride parameters of three dimensional vehicle model are minimizing simultaneously. In derived Pareto front, unique trade-off design points can selected which are non-dominated solutions of optimizing the weighted sum comfort parameters versus weighted sum safety parameters. The comparison of the obtained results with those reported in the literature, demonstrates the distinction and comprehensiveness of the results arrived in the present study.

Searching Algorithms for Protein Sequences and Weighted Strings (단백질 시퀀스와 가중치 스트링에 대한 탐색 알고리즘)

  • Kim, Sung-Kwon
    • Journal of KIISE:Computer Systems and Theory
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    • v.29 no.8
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    • pp.456-462
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    • 2002
  • We are developing searching algorithms for weighted strings such as protein sequences. Let${\sum}$ be an alphabet and for each $a{\in}{\sum}$ its weight ${\mu}(a)$ is given. Given a string $A=a_1a_2…a_n\; with each ai{\in}{\sum}$, a substring<$A(i.j)=a_ia_{i+1}…a_j$ has weight ${\in}(A(i.j))={\in}(a_i)+{\in}(a_i+1)+…+{\in}(a_j)$.The problem we are dealing with is to preprocess A to build a searching structure, and later, given a query weight M, the structure is used to answer the question of whether there is a substring A(i,j) such that$M={\in}(A(i,j))$.In this paper an algorithm that improves over the previous result will be presented. The previously best known algorithm answers a query in $0(\frac{nlog\;logn}{log\; n})$time using a searching structure that requires O(n) amount of memory. Our algorithm reduces the memory requirement to $0(\frac{n}{log\; n})$ while achieving the same query answer time.

Distributed Uplink Resource Allocation in Multi-Cell Wireless Data Networks

  • Ko, Soo-Min;Kwon, Ho-Joong;Lee, Byeong-Gi
    • Journal of Communications and Networks
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    • v.12 no.5
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    • pp.449-458
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    • 2010
  • In this paper, we present a distributed resource allocation algorithm for multi-cell uplink systems that increases the weighted sum of the average data rates over the entire network under the average transmit power constraint of each mobile station. For the distributed operation, we arrange each base station (BS) to allocate the resource such that its own utility gets maximized in a noncooperative way. We define the utility such that it incorporates both the weighted sum of the average rates in each cell and the induced interference to other cells, which helps to instigate implicit cooperation among the cells. Since the data rates of different cells are coupled through inter-cell interferences, the resource allocation taken by each BS evolves over iterations. We establish that the resource allocation converges to a unique fixed point under reasonable assumptions. We demonstrate through computer simulations that the proposed algorithm can improve the weighted sum of the average rates substantially without requiring any coordination among the base stations.

Closed-form Expressions for Optimal Transmission Power Achieving Weighted Sum-Rate Maximization in MIMO Systems (MIMO 시스템의 가중합 전송률 최대화를 위한 최적 전송 전력의 닫힌 형태 표현)

  • Shin, Suk-Ho;Kim, Jae-Won;Park, Jong-Hyun;Sung, Won-Jin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.7
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    • pp.36-44
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    • 2010
  • When multi-user MIMO (Multiple-Input Multiple-Output) systems utilize a sum-rate maximization (SRM) scheduler, the throughput of the systems can be enhanced. However, fairness problems may arise because users located near cell edge or experiencing poor channel conditions are less likely to be selected by the SRM scheduler. In this paper, a weighted sum-rate maximization (WSRM) scheduler is used to enhance the fairness performance of the MIMO systems. Closed-form expressions for the optimal transmit power allocation of WSRM and corresponding weighted sum-rate (WSR) are derived in the 6-sector collaborative transmission system. Using the derived results, we propose an algorithm which searches the optimal power allocation for WSRM in the 3-sector collaborative transmission system. Based on the derived closed-form expressions and the proposed algorithm, we perform computer simulations to compare performance of the WSRM scheduler and the SRM scheduler with respect to the sum-rate and the log-sum-of-average rates. We further verify that the WSRM scheduler efficiently improves fairness performance by showing the enhanced performance of average transmission rates in low percentile region.

Elite-initial population for efficient topology optimization using multi-objective genetic algorithms

  • Shin, Hyunjin;Todoroki, Akira;Hirano, Yoshiyasu
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.4
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    • pp.324-333
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    • 2013
  • The purpose of this paper is to improve the efficiency of multi-objective topology optimization using a genetic algorithm (GA) with bar-system representation. We proposed a new GA using an elite initial population obtained from a Solid Isotropic Material with Penalization (SIMP) using a weighted sum method. SIMP with a weighted sum method is one of the most established methods using sensitivity analysis. Although the implementation of the SIMP method is straightforward and computationally effective, it may be difficult to find a complete Pareto-optimal set in a multi-objective optimization problem. In this study, to build a more convergent and diverse global Pareto-optimal set and reduce the GA computational cost, some individuals, with similar topology to the local optimum solution obtained from the SIMP using the weighted sum method, were introduced for the initial population of the GA. The proposed method was applied to a structural topology optimization example and the results of the proposed method were compared with those of the traditional method using standard random initialization for the initial population of the GA.

Fall Recognition Algorithm Using Gravity-Weighted 3-Axis Accelerometer Data (3축 가속도 센서 데이터에 중력 방향 가중치를 사용한 낙상 인식 알고리듬)

  • Kim, Nam Ho;Yu, Yun Seop
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.6
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    • pp.254-259
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    • 2013
  • A newly developed fall recognition algorithm using gravity weighted 3-axis accelerometer data as the input of HMM (Hidden Markov Model) is introduced. Five types of fall feature parameters including the sum vector magnitude(SVM) and a newly-defined gravity-weighted sum vector magnitude(GSVM) are applied to a HMM to evaluate the accuracy of fall recognition. A GSVM parameter shows the best accuracy of falls which is 100% of sensitivity and 97.96% of specificity, and comparing with SVM, the results archive more improved recognition rate, 5.2% of sensitivity and 4.5% of specificity. GSVM shows higher recognition rate than SVM due to expressing falls characteristics well, whereas SVM expresses the only momentum.

A study on Flow Shop Scheduling Problems with Different Weighted Penalties and a Common Due Date (차별 벌과금과 공통납기를 고려한 흐름작업 일정 계획에 관한 연구)

  • Lee, Jeong-Hwan;No, In-Gyu
    • Journal of Korean Society for Quality Management
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    • v.19 no.2
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    • pp.125-132
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    • 1991
  • This paper is concerned with the flow shop scheduling problems considering different weighted penalty costs for earliness and lateness, and a common due date. The objective of the paper is to develop an efficient heuristic scheduling algorithm for minimizing total penalty costs and for determining the optimal common due date. The positional weight index and, the product sum method are used. A numerical example is given for illustrating the proposed algorithm.

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Centroids Shift Tracking Algorithm Considering Background Colors (배경색을 고려한 중심 이동 추적 알고리즘)

  • Choi, Eun-Cheol;Jang, Jun-Yeong;Kang, Moon-Gi
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.813-814
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    • 2008
  • In this paper, we propose a new tracking algorithm which uses weighted sum of color bin's centroids to find the main centroid of the target. The weights are determined by the proportion of colors of the target and by the colors of background. That is, A color which has high occupation in forming the target is highly weighted and a color which has low occupation is lowly weighted. Moreover, the proposed algorithm prevent track failure by lowering the weight of the colors which forms the background. Therefore, the proposed algorithm performs stable tracking inspite of occlusion and existence of confusing backgrounds.

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A Tone Injection PAPR Reduction Method using Multi-objective Optimization based on Weighted-sum Genetic Algorithm (가중합 유전자 알고리즘 기반의 다목적 최적화를 이용한 톤 삽입 PAPR 저감 기법)

  • Park, Soon-Kyu;Lee, Won-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.2C
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    • pp.217-225
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    • 2009
  • Tone injection scheme has been known as one of peak to average power ratio (PAPR) reduction methods deployable to multi-carrier system like orthogonal frequency division multiplexing (OFDM). The basic idea in tone injection scheme is to enforce the constellation size larger so that each of original constellation points is mapped into the preassigned distinct locations. According to the tone injection scheme, it increases symbol power highly induced inherently by expanding constellation to get optimal PAPR reduction. In the other hand, to get optimal power increase, the PAPR would be reduced insufficiently with limited tone injection signal. To withstand these problems, this paper consider the reduction of the PAPR and power increase problem simultaneously, Toward this, the tone injection scheme accomplished by employing the weighted sum genetic algorithm which has been utilized to solve multi-objective optimization problem (MOOP). The simulation results verifies that the proposed scheme can control the effective PAPR performance and alleviation of power increase flexibly by the weight value at the expense of relatively low complexity.