Due to the purpose of this study that reducing power consumption in the cloud network is based on load balancing, the fitness function measures the load balance between cloud network and servers (the hosts). This technique is appropriate for handling the resource optimization challenges, due to the ability to convert the load balancing problem into an optimization problem (reducing imbalance cost). In this research, combining the results of the particle swarm genetic optimization (PSGO) algorithm and using a combination of advantages of these two algorithms lead to the improvement of the results and introducing a suitable solution for load balancing operation, because in the proposed approach (LBPSGORA), instead of randomly assigning the initial population in the genetic algorithm, the best result is procured by putting the initial population. The LBPSGORA method is compared with PSO, GA, and hybrid GA-PSO. The execution cost, load balancing, and makespan have been evaluated and our method has performed better than similar methods.
Quadratic Programming (QP) is a mathematical modeling technique designed to optimize the usage of limited resources and has been widely applied to solve real world problems. In conventional quadratic programming model the parameters are known constants. However in many practical situations, it is not reasonable to require that the constraints or the objective function in quadratic programming problems be specified in precise, crisp terms. In such situations, it is desirable to use some type of Fuzzy Quadratic Programming (FQP) problem. In this paper a new approach is proposed to derive the fuzzy objective value of fuzzy quadratic programming problem, where the constraints coefficients and the right-hand sides are all triangular fuzzy numbers. The proposed method is solved using MATLAB TM toolbox and the numerical results are presented.
As a generalization of pseudoorders, the weak pseudoorder in ordered (semi)hyperrings was defined by Qiang et al., and some results were studied. In order to further study, we apply weak pseudoorders for an ordered superring R and show relations with pseudoorders of R. Moreover, we present some illustrative examples and regular equivalence relation σ on ordered superring R, such that R/σ is an ordered superring. Furthermore, we show that if η is a weak pseudoorder on an ordered superring R, F is the set of all weak pseudoorders on R/η* and E ¼ fζ j ζ is a weak pseudoorder on R such that η ⊆ ζ}, then cardðEÞ ¼ cardðFÞ.
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