• Title/Summary/Keyword: Efficient solutions

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THE FORMAL LINEARIZATION METHOD TO MULTISOLITON SOLUTIONS FOR THREE MODEL EQUATIONS OF SHALLOW WATER WAVES

  • Taghizadeh, N.;Mirzazadeh, M.;Paghaleh, A. Samiei
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.381-391
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    • 2012
  • In this paper, the formal linearization method is used to construct multisoliton solutions for three model of shallow water waves equations. The three models are completely integrable. The formal linearization method is an efficient method for obtaining exact multisoliton solutions of nonlinear partial differential equations. The method can be applied to nonintegrable equations as well as to integrable ones.

An Efficient PSO Algorithm for Finding Pareto-Frontier in Multi-Objective Job Shop Scheduling Problems

  • Wisittipanich, Warisa;Kachitvichyanukul, Voratas
    • Industrial Engineering and Management Systems
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    • v.12 no.2
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    • pp.151-160
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    • 2013
  • In the past decades, several algorithms based on evolutionary approaches have been proposed for solving job shop scheduling problems (JSP), which is well-known as one of the most difficult combinatorial optimization problems. Most of them have concentrated on finding optimal solutions of a single objective, i.e., makespan, or total weighted tardiness. However, real-world scheduling problems generally involve multiple objectives which must be considered simultaneously. This paper proposes an efficient particle swarm optimization based approach to find a Pareto front for multi-objective JSP. The objective is to simultaneously minimize makespan and total tardiness of jobs. The proposed algorithm employs an Elite group to store the updated non-dominated solutions found by the whole swarm and utilizes those solutions as the guidance for particle movement. A single swarm with a mixture of four groups of particles with different movement strategies is adopted to search for Pareto solutions. The performance of the proposed method is evaluated on a set of benchmark problems and compared with the results from the existing algorithms. The experimental results demonstrate that the proposed algorithm is capable of providing a set of diverse and high-quality non-dominated solutions.

Development of a Scheduling Assistant Program for Usability Improvement of Construction Scheduling Solutions (건설 공정관리 솔루션의 활용성 증대를 위한 공정표 작성 지원 프로그램 개발)

  • Park, Sung Hwan;Lee, Si Wook;Woo, Sungkwon;Shin, Do Hyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.4D
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    • pp.413-421
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    • 2010
  • Scheduling management is one of the most important factors for the efficient performance of construction projects. Various computer-aided solutions for schedule management have been developed, but they are not commonly used in practice. This study conducted surveys on scheduling management methods and the related solutions to identify their status and problems in practice. Based on the results of the surveys, this study also developed a scheduling assistant program to improve the usability of scheduling management solutions. Through the developed program, the usability of scheduling management solutions will be improved in practice, thus enabling efficient scheduling management.

A Heuristic for the Design of Distributed Computing Systems (발견적 해법을 이용한 분산 컴퓨터 시스템 설계)

  • 손승현;김재련
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.40
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    • pp.169-178
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    • 1996
  • Geographically dispersed computing system is made of computers interconnected by a telecommunications network. To make the system operated efficiently, system designer must determine the allocation of data files to each node. In designing such distributed computing system, the most important issue is the determination of the numbers and the locations where database files are allocated. This is commonly referred to as the file allocation problem (FAP)[3]. The proposed model is a 0/l integer programming problem minimizing the sum of file storage costs and communication(query and update) costs. File allocation problem belongs to the class of NP-Complete problems. Because of the complexity, it is hard to solve. So, this paper presents an efficient heuristic algorithm to solve the file allocation problem using Tabu Search Technique. By comparing the optimal solutions with the heuristic solutions, it is believed that the proposed heuristic algorithm gives good solutions. Through the experimentation of various starting points and tabu restrictions, this paper presents fast and efficient method to solve the file allocation problem in the distributed computing system.

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Thermal vibration analysis of FGM beams using an efficient shear deformation beam theory

  • Safa, Abdelkader;Hadji, Lazreg;Bourada, Mohamed;Zouatnia, Nafissa
    • Earthquakes and Structures
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    • v.17 no.3
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    • pp.329-336
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    • 2019
  • An efficient shear deformation beam theory is developed for thermo-elastic vibration of FGM beams. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the on the surfaces of the beam without using shear correction factors. The material properties of the FGM beam are assumed to be temperature dependent, and change gradually in the thickness direction. Three cases of temperature distribution in the form of uniformity, linearity, and nonlinearity are considered through the beam thickness. Based on the present refined beam theory, the equations of motion are derived from Hamilton's principle. The closed-form solutions of functionally graded beams are obtained using Navier solution. Numerical results are presented to investigate the effects of temperature distributions, material parameters, thermal moments and slenderness ratios on the natural frequencies. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

An Efficient Unified Method to Compute Voltage Collapse Point (전압붕괴 임계점 계산을 위한 효율적 통합법)

  • Nam, Hae-Gon;Kim, Dong-Jun;Song, Chung-Gi;Mun, Yeong-Hwan;Kim, Tae-Gyun;Lee, Hyo-Sang
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.8
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    • pp.951-957
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    • 1999
  • The saddle node bifurcation (SNB) and the distance voltage instability are valuable information in power system planning and operation. This paper presents a new efficient, robust and unified strategy to compute the SNB by the combined use of the continuation power flow (CPF), Point of Collapse (PoC) method, and the method of a pair of multiple load flow solutions (PMLFS) with Lagrange interpolation utilizing only their advantages: the approximate nose curves and critical loading are determined fast by Lagrange-interpolating two stable and two unstable solutions obtained by using the robust CPF and PMLFS; the exact SNB is computed by the quadratically converging PoC method. The proposed method has been tested on Klos-Kerner 11-bus, New England 30-bus, IEEE 118-bus and KEPCO 791-bus systems. The method is found to be so efficient that computation time for determining the SNB of the KEPCO 791-bus system is 17.82 sec by a notebook PC with 300 MHz Pentium processor.

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An Efficient and Accurate Method for Calculating Nonlinear Diffraction Beam Fields

  • Jeong, Hyunjo;Cho, Sungjong;Nam, Kiwoong;Lee, Janghyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.36 no.2
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    • pp.102-111
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    • 2016
  • This study develops an efficient and accurate method for calculating nonlinear diffraction beam fields propagating in fluids or solids. The Westervelt equation and quasilinear theory, from which the integral solutions for the fundamental and second harmonics can be obtained, are first considered. A computationally efficient method is then developed using a multi-Gaussian beam (MGB) model that easily separates the diffraction effects from the plane wave solution. The MGB models provide accurate beam fields when compared with the integral solutions for a number of transmitter-receiver geometries. These models can also serve as fast, powerful modeling tools for many nonlinear acoustics applications, especially in making diffraction corrections for the nonlinearity parameter determination, because of their computational efficiency and accuracy.

A Hybrid Metaheuristic for the Series-parallel Redundancy Allocation Problem in Electronic Systems of the Ship

  • Son, Joo-Young;Kim, Jae-Hwan
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.3
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    • pp.341-347
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    • 2011
  • The redundancy allocation problem (RAP) is a famous NP.complete problem that has beenstudied in the system reliability area of ships and airplanes. Recently meta-heuristic techniques have been applied in this topic, for example, genetic algorithms, simulated annealing and tabu search. In particular, tabu search (TS) has emerged as an efficient algorithmic approach for the series-parallel RAP. However, the quality of solutions found by TS depends on the initial solution. As a robust and efficient methodology for the series-parallel RAP, the hybrid metaheuristic (TSA) that is a interactive procedure between the TS and SA (simulated annealing) is developed in this paper. In the proposed algorithm, SA is used to find the diversified promising solutions so that TS can re-intensify search for the solutions obtained by the SA. We test the proposed TSA by the existing problems and compare it with the SA and TS algorithm. Computational results show that the TSA algorithm finds the global optimal solutions for all cases and outperforms the existing TS and SA in cases of 42 and 56 subsystems.

APPLICATION OF BACKWARD DIFFERENTIATION FORMULA TO SPATIAL REACTOR KINETICS CALCULATION WITH ADAPTIVE TIME STEP CONTROL

  • Shim, Cheon-Bo;Jung, Yeon-Sang;Yoon, Joo-Il;Joo, Han-Gyu
    • Nuclear Engineering and Technology
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    • v.43 no.6
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    • pp.531-546
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    • 2011
  • The backward differentiation formula (BDF) method is applied to a three-dimensional reactor kinetics calculation for efficient yet accurate transient analysis with adaptive time step control. The coarse mesh finite difference (CMFD) formulation is used for an efficient implementation of the BDF method that does not require excessive memory to store old information from previous time steps. An iterative scheme to update the nodal coupling coefficients through higher order local nodal solutions is established in order to make it possible to store only node average fluxes of the previous five time points. An adaptive time step control method is derived using two order solutions, the fifth and the fourth order BDF solutions, which provide an estimate of the solution error at the current time point. The performance of the BDF- and CMFD-based spatial kinetics calculation and the adaptive time step control scheme is examined with the NEACRP control rod ejection and rod withdrawal benchmark problems. The accuracy is first assessed by comparing the BDF-based results with those of the Crank-Nicholson method with an exponential transform. The effectiveness of the adaptive time step control is then assessed in terms of the possible computing time reduction in producing sufficiently accurate solutions that meet the desired solution fidelity.

A heuristic search on noninferior solutions to the Halkin-typed linear quantized optimal control problem with two performance functions

  • Munakata, Tsunehiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.772-776
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    • 1988
  • In quantized control systems, the control values can take only given discrete (e.g. integer) values. In case of dealing with the control problem on the discrete-time, final-stage fixed, quantized control systems with multidimensional performance functions, the first thing, new definition on noninferior solutions in these systems is necessary because of their discreteness in state variables, and the efficient search for those solutions at final-stage is unavoidable for seeking their discrete-time optimal controls to these systems. In this paper, to the quantized control problem given by the formulation of Halkin-typed linear control systems with two performance functions, a new definition on noninferior solutions of this system control problem and a heuristic effective search on these noninferior solutions are stated. By use of these concepts, two definitions on noninferior solutions and the algorithm consisted of 8 steps and attained by geometric approaches are given. And a numerical example using the present algorithm is shown.

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