• Title/Summary/Keyword: Min-Max algorithm

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A Swap Optimization for Dynamic Economic Dispatch Problem with Non-smooth Function (비평활 발전비용함수를 가진 동적 경제급전문제의 교환 최적화)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.11
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    • pp.189-196
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    • 2012
  • This paper proposes Swap algorithm for solving Dynamic Economic Dispatch (DED) problem. The proposed algorithm initially balances total load demand $P_d$ with total generation ${\Sigma}P_i$ by deactivating a generator with the highest unit generation cost $C_i^{max}/P_i^{max}$. It then swaps generation level $P_i=P_i{\pm}{\Delta}$, (${\Delta}$=1.0, 0.1, 0.01, 0.001) for $P_i=P_i-{\Delta}$, $P_j=P_j+{\Delta}$ provided that $_{max}[F(P_i)-F(P_i-{\Delta})]$ > $_{min}[F(P_j+{\Delta})-F(P_j)]$, $i{\neq}j$. This new algorithm is applied and tested to the experimental data of Dynamic Economic Dispatch problem, demonstrating a considerable reduction in the prevalent heuristic algorithm's optimal generation cost and in the maximization of economic profit.

Successive Max-min Connection-Ratio Preoblem:Routing with Fairness and Efficiency in Circuit Telecommunication Networks (연속적인 최대-최소 연결비율 문제: 회선망에서의 공정성 및 효율성을 보장하는 경로설정)

  • 박구현;우재현
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.2
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    • pp.13-29
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    • 1997
  • This paper considers a new routing problem, successive max-min connection ratio problem (SMCRP), arised in circuit telecommunication networks such as SONET and WDM optical transport network. An optimization model for SMCRP is established based on link-flow formulation. It's first optimization process is an integral version of maximum concurrent flow problem. Integer condition does not give the same connection-ratio of each node-pair at an optimal solution any more. It is also an integral multi-commodity flow problem with fairness restriction. In order to guarantee fairness to every node-pair the minimum of connection ratios to demand is maximized. NP- hardness of SMCRP is proved and a heuristic algorithm with polynomial-time bound is developed for the problem. Augmenting path and rerouting flow are used for the algorithm. The heuristic algorithm is implemented and tested for networks of different sizes. The results are compared with those given by GAMS/OSL, a popular commercial solver for integer programming problem.n among ferrite-pearlite matrix, the increase in spheroidal ratio with increasing fatigue limitation, 90% had the highest, 14.3% increasing more then 70%, distribution range of fatigue.ife was small in same stress level. (2) $\sqrt{area}_{max}$ of graphite can be used to predict fatigue limit of Ductile Cast Iron. The Statistical distribution of extreme values of $\sqrt{area}_{max}$ may be used as a guideline for the control of inclusion size in the steelmaking.

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Modified WRR Scheduling Algorithm for Satisfying Maximum of MCR or Max-Min Share Fairness Criterion (Maximum of MCR or Max-Min Share 공평성을 만족하는 개선된 WRR 스케줄링 알고리즘)

  • 정경택
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.6A
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    • pp.1089-1098
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    • 2001
  • WRR 스케줄링 알고리즘은 계산의 단순성과 저 비용 구현의 장점을 가지고 있어 고속 패킷 스위칭 네트워크에서 널리 쓰이고 있지만 버스티한 트래픽에 대해서는 입력 트래픽을 일정 비율로 스케줄링하기 때문에 효율성이 낮다는 문제점이 있다. 또한, WRR 알고리즘은 ABR 서비스 클래스의 공평성 기준의 하나인 Maximum of MCR or Max-Min share 공평성을 만족시키지 못한다. 따라서 ABR 서비스를 위한 공평성 기준을 만족시키는 스케줄링 알고리즘이 필요하다. 따라서, 본 논문에서는 ABR 서비스를 위한 5가지 공평성 기준들 중 Maximum of MCR or Max-Min share를 만족시키는 스케줄링 알고리즘을 제안한다. 제안된 알고리즘이 공평성 기준을 만족시키고, 네트워크 자원을 각 ABR VC들에게 공평하게 할당해 주는지를 컴퓨터 시뮬레이션을 통하여 WRR 알고리즘과 비교, 분석한다.

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The Random Type Quadratic Assignment Problem Algorithm

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.4
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    • pp.81-88
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    • 2016
  • The optimal solution of quadratic assignment problem (QAP) cannot get done in polynomial time. This problem is called by NP-complete problem. Therefore the meta-heuristic techniques are applied to this problem to get the approximated solution within polynomial time. This paper proposes an algorithm for a random type QAP, in which the instance of two nodes are arbitrary. The proposed algorithm employs what is coined as a max flow-min distance rule by which the maximum flow node is assigned to the minimum distance node. When applied to the random type QAP, the proposed algorithm has been found to obtain optimal solutions superior to those of the genetic algorithm.

Scate: A Scalable Time and Energy Aware Actor Task Allocation Algorithm in Wireless Sensor and Actor Networks

  • Sharifi, Mohsen;Okhovvat, Morteza
    • ETRI Journal
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    • v.34 no.3
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    • pp.330-340
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    • 2012
  • In many applications of wireless sensor actor networks (WSANs) that often run in harsh environments, the reduction of completion times of tasks is highly desired. We present a new time-aware, energy-aware, and starvation-free algorithm called Scate for assigning tasks to actors while satisfying the scalability and distribution requirements of WSANs with semi-automated architecture. The proposed algorithm allows concurrent executions of any mix of small and large tasks and yet prevents probable starvation of tasks. To achieve this, it estimates the completion times of tasks on each available actor and then takes the remaining energies and the current workloads of these actors into account during task assignment to actors. The results of our experiments with a prototyped implementation of Scate show longer network lifetime, shorter makespan of resulting schedules, and more balanced loads on actors compared to when one of the three well-known task-scheduling algorithms, namely, the max-min, min-min, and opportunistic load balancing algorithms, is used.

A Multi-mode LDPC Decoder for IEEE 802.16e Mobile WiMAX

  • Shin, Kyung-Wook;Kim, Hae-Ju
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.12 no.1
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    • pp.24-33
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    • 2012
  • This paper describes a multi-mode LDPC decoder which supports 19 block lengths and 6 code rates of Quasi-Cyclic LDPC code for Mobile WiMAX system. To achieve an efficient implementation of 114 operation modes, some design optimizations are considered including block-serial layered decoding scheme, a memory reduction technique based on the min-sum decoding algorithm and a novel method for generating the cyclic shift values of parity check matrix. From fixed-point simulations, decoding performance and optimal hardware parameters are analyzed. The designed LDPC decoder is verified by FPGA implementation, and synthesized with a $0.18-{\mu}m$ CMOS cell library. It has 380,000 gates and 52,992 bits RAM, and the estimated throughput is about 164 ~ 222 Mbps at 56 MHz@1.8 V.

Code Rate 1/2, 2304-b LDPC Decoder for IEEE 802.16e WiMAX (IEEE 802.16e WiMAX용 부호율 1/2, 2304-비트 LDPC 복호기)

  • Kim, Hae-Ju;Shin, Kyung-Wook
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.4A
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    • pp.414-422
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    • 2011
  • This paper describes a design of low-density parity-check(LDPC) decoder supporting block length 2,304-bit and code rate 1/2 of IEEE 802.16e mobile WiMAX standard. The designed LDPC decoder employs the min-sum algorithm and partially parallel layered-decoding architecture which processes a sub-matrix of $96{\times}96$ in parallel. By exploiting the properties of the min-sum algorithm, a new memory reduction technique is proposed, which reduces check node memory by 46% compared to conventional method. Functional verification results show that it has average bit-error-rate(BER) of $4.34{\times}10^{-5}$ for AWGN channel with Fb/No=2.1dB. Our LDPC decoder synthesized with a $0.18{\mu}m$ CMOS cell library has 174,181 gates and 52,992 bits memory, and the estimated throughput is about 417 Mbps at 100-MHz@l.8-V.

A study on the treatment of a max-value cost function in parametric optimization (매개변수 종속 최적화에서 최대치형 목적함수 처리에 관한 연구)

  • Kim, Min-Soo;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1561-1570
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    • 1997
  • This study explores the treatment of the max-value cost function over a parameter interval in parametric optimization. To avoid the computational burden of the transformation treatment using an artificial variable, a direct treatment of the original max-value cost function is proposed. It is theoretically shown that the transformation treatment results in demanding an additional equality constraint of dual variables as a part of the Kuhn-Tucker necessary conditions. Also, it is demonstrated that the usability and feasibility conditions on the search direction of the transformation treatment retard convergence rate. To investigate numerical performances of both treatments, typical optimization algorithms in ADS are employed to solve a min-max steady-state response optimization. All the algorithm tested reveal that the suggested direct treatment is more efficient and stable than the transformation treatment. Also, the better performing of the direct treatment over the transformation treatment is clearly shown by constrasting the convergence paths in the design space of the sample problem. Six min-max transient response optimization problems are also solved by using both treatments, and the comparisons of the results confirm that the performances of the direct treatment is better than those of the tranformation treatment.

Approximated MAP Algorithm for Gray Coded QAM Signals (Gray 부호화된 QAM 신호를 위한 근사화된 MAP 알고리듬)

  • Hyun, Kwang-Min
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.12
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    • pp.3702-3707
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    • 2009
  • In this paper, a new approximated MAP algorithm for soft bit decision from QAM symbols is proposed for Gray Coded QAM signals, based on the Max-Log-MAP and a Gray coded QAM signal can be separated into independent two Gray coded PAM signal, M-PAM on I axis with M symbols and N-PAM on Q axis with N symbols. The Max-Log-MAP used distance comparisons between symbols to get the soft bit decision instead of mathematical exponential or logarithm functions. But in accordance with the increase of the number of symbols, the number of comparisons also increase with high complexity. The proposed algorithm is used with the Euclidean distance and constituted with plain arithmetic functions, thus we can know intuitively that the algorithm has low implementing complexity comparing to conventional ones.

General Log-Likelihood Ratio Expression and Its Implementation Algorithm for Gray-Coded QAM Signals

  • Kim, Ki-Seol;Hyun, Kwang-Min;Yu, Chang-Wahn;Park, Youn-Ok;Yoon, Dong-Weon;Park, Sang-Kyu
    • ETRI Journal
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    • v.28 no.3
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    • pp.291-300
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    • 2006
  • A simple and general bit log-likelihood ratio (LLR) expression is provided for Gray-coded rectangular quadrature amplitude modulation (R-QAM) signals. The characteristics of Gray code mapping such as symmetries and repeated formats of the bit assignment in a symbol among bit groups are applied effectively for the simplification of the LLR expression. In order to reduce the complexity of the max-log-MAP algorithm for LLR calculation, we replace the mathematical max or min function of the conventional LLR expression with simple arithmetic functions. In addition, we propose an implementation algorithm of this expression. Because the proposed expression is very simple and constructive with some parameters reflecting the characteristic of the Gray code mapping result, it can easily be implemented, providing an efficient symbol de-mapping structure for various wireless applications.

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