• Title/Summary/Keyword: Bicriteria Optimization Problem

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Priority-based Genetic Algorithm for Bicriteria Network Optimization Problem

  • Gen, Mitsuo;Lin, Lin;Cheng, Runwei
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.175-178
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    • 2003
  • In recent years, several researchers have presented the extensive research reports on network optimization problems. In our real life applications, many important network problems are typically formulated as a Maximum flow model (MXF) or a Minimum Cost flow model (MCF). In this paper, we propose a Genetic Algorithm (GA) approach used a priority-based chromosome for solving the bicriteria network optimization problem including MXF and MCF models(MXF/MCF).

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Bicriteria optimal design of open cross sections of cold-formed thin-walled beams

  • Ostwald, M.;Magnucki, K.;Rodak, M.
    • Steel and Composite Structures
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    • v.7 no.1
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    • pp.53-70
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    • 2007
  • This paper presents a analysis of the problem of optimal design of the beams with two I-type cross section shapes. These types of beams are simply supported and subject to pure bending. The strength and stability conditions were formulated and analytically solved in the form of mathematical equations. Both global and selected types of local stability forms were taken into account. The optimization problem was defined as bicriteria. The cross section area of the beam is the first objective function, while the deflection of the beam is the second. The geometric parameters of cross section were selected as the design variables. The set of constraints includes global and local stability conditions, the strength condition, and technological and constructional requirements in the form of geometric relations. The optimization problem was formulated and solved with the help of the Pareto concept of optimality. During the numerical calculations a set of optimal compromise solutions was generated. The numerical procedures include discrete and continuous sets of the design variables. Results of numerical analysis are presented in the form of tables, cross section outlines and diagrams. Results are discussed at the end of the work. These results may be useful for designers in optimal designing of thin-walled beams, increasing information required in the decision-making procedure.

Workforce Assignment in Multiple Rowsfor Factory Automation (공장 자동화를 위한 다열 배치에서의 작업자 할당)

  • Kim Chae-Bogk
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.27 no.2
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    • pp.68-77
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    • 2004
  • This paper considers the workforce assignment problem to minimize both the deviations of workloads assigned to workers and to maximize the total preference between each worker and each machine. Because of the high expense of technology education and the difficulties of firing employees, there is no part time workers in semiconductor industry. Therefore, multi-skilled workers are trained for performing various operations in several machines. The bicriteria workforce assignment problem in this paper is not easy to obtain the optimal solution considering the aisle structure and it is belong to NP-class. The proposed heuristic algorithms are developed based on the combination of spacefilling curve technique, simulated annealing technique and graph theory focusing on the multiple-row machine layout. Examples are presented for the proposed algorithms how to find a good solution.

A Genetic Algorithm with a New Encoding Method for Bicriteria Network Designs (2기준 네트워크 설계를 위한 새로운 인코딩 방법을 기반으로 하는 유전자 알고리즘)

  • Kim Jong-Ryul;Lee Jae-Uk;Gen Mituso
    • Journal of KIISE:Software and Applications
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    • v.32 no.10
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    • pp.963-973
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    • 2005
  • Increasing attention is being recently devoted to various problems inherent in the topological design of networks systems. The topological structure of these networks can be based on service centers, terminals (users), and connection cable. Lately, these network systems are well designed with tiber optic cable, because the requirements from users become increased. But considering the high cost of the fiber optic cable, it is more desirable that the network architecture is composed of a spanning tree. In this paper, we present a GA (Genetic Algorithm) for solving bicriteria network topology design problems of wide-band communication networks connected with fiber optic cable, considering the connection cost, average message delay, and the network reliability We also employ the $Pr\ddot{u}fer$ number (PN) and cluster string in order to represent chromosomes. Finally, we get some experiments in order to certify that the proposed GA is the more effective and efficient method in terms of the computation time as well as the Pareto optimality.

Multiobjective Genetic Algorithm for Design of an Bicriteria Network Topology (이중구속 통신망 설계를 위한 다목적 유전 알고리즘)

  • Kim, Dong-Il;Kwon, Key-Ho
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.39 no.4
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    • pp.10-18
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    • 2002
  • Network topology design is a multiobjective problem with various design components. The components such as cost, message delay and reliability are important to gain the best performance. Recently, Genetic Algorithms(GAs) have been widely used as an optimization method for real-world problems such as combinatorial optimization, network topology design, and so on. This paper proposed a method of Multi-objective GA for Design of the network topology which is to minimize connection cost and message delay time. A common difficulty in multiobjective optimization is the existence of an objective conflict. We used the prufer number and cluster string for encoding, parato elimination method and niche-formation method for the fitness sharing method, and reformation elitism for the prevention of pre-convergence. From the simulation, the proposed method shows that the better candidates of network architecture can be found.