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  • Open Access

    ARTICLE

    On Parametric Fuzzy Linear Programming Formulated by a Fractal

    Rafid A. Al-Saeedi1, Rabha W. Ibrahim2, Rafida M. Elobaid3,*

    Intelligent Automation & Soft Computing, Vol.30, No.3, pp. 1073-1084, 2021, DOI:10.32604/iasc.2021.018011

    Abstract Fractal strategy is an important tool in manufacturing proposals, including computer design, conserving, power supplies and decorations. In this work, a parametric programming, analysis is proposed to mitigate an optimization problem. By employing a fractal difference equation of the spread functions (local fractional calculus operator) in linear programming, we aim to analyze the restraints and the objective function. This work proposes a new technique of fractal fuzzy linear programming (FFLP) model based on the symmetric triangular fuzzy number. The parameter fuzzy number is selected from the fractal power of the difference equation. Note that this number indicates the fractal parameter,… More >

  • Open Access

    ARTICLE

    Construction of Integral Objective Function/Fitness Function of Multi-Objective/Multi-Disciplinary Optimization

    Z. Q. Zhu1, Z. Liu1, X. L. Wang1, R. X. Yu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.6, No.6, pp. 567-576, 2004, DOI:10.3970/cmes.2004.006.567

    Abstract To extend an available mono-objective optimization method to multi-objective/multi-disciplinary optimization, the construction of a suitable integral objective function (in gradient based deterministic method-DM) or fitness function (in genetic algorithm-GA) is important. An auto-adjusting weighted object optimization (AWO) method in DM is suggested to improve the available weighted sum method (linear combined weighted object optimizationLWO method). Two formulae of fitness function in GA are suggested for two kinds of design problems. Flow field solution is obtained by solving Euler equations. Electromagnetic field solution is obtained by solving Maxwell equations. Bi-disciplinary optimization computation is carried out by coupling these two solutions with… More >

  • Open Access

    ARTICLE

    An Energy-Efficient Protocol Using an Objective Function & Random Search with Jumps for WSN

    Mohammed Kaddi1,3,*, Khelifa Benahmed2, Mohammed Omari3

    CMC-Computers, Materials & Continua, Vol.58, No.3, pp. 603-624, 2019, DOI:10.32604/cmc.2019.05341

    Abstract Wireless Sensor Networks (WSNs) have hardware and software limitations and are deployed in hostile environments. The problem of energy consumption in WSNs has become a very important axis of research. To obtain good performance in terms of the network lifetime, several routing protocols have been proposed in the literature. Hierarchical routing is considered to be the most favorable approach in terms of energy efficiency. It is based on the concept parent-child hierarchy where the child nodes forward their messages to their parent, and then the parent node forwards them, directly or via other parent nodes, to the base station (sink).… More >

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