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Expanding Service Capacities and Increasing Service Reliabilities for the Grid-Based Utility Computing

机译:扩展基于网格的效用计算的服务能力并提高服务可靠性

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摘要

A non-polynomial (NP)-hard combinatorial optimization problem that is associated with expanding service capacities and increasing service reliability in grid-based utility computing is investigated in this paper. The considered problem is decomposed into master and slave subproblems, with theoretical justification, and a computationally efficient two-level iterative method that is used in solving it is proposed. To solve the slave subproblem, an ordinal optimization-based n-stage method, associated with an approximate model for objective value evaluation, is employed. To solve the master subproblem, a bisection method is used. Under some conditions, the solution obtained using the proposed iterative two-level method is optimal. The validity of the proposed method is tested by ten cases on a 12-node 17-link computing grid. Five of the ten cases are randomly selected, and the solutions that are obtained in these cases are optimal, rather than “good enough.” The average CPU time required by the proposed method in obtaining the optimal solution of the considered NP-hard combinatorial optimization problem is 2.278 h, when executed using a Pentium IV PC with a 2-GB RAM. Additionally, the computational efficiency of the proposed method greatly exceeds a genetic algorithm with an exact model.
机译:本文研究了基于网格的效用计算中与扩展服务能力和提高服务可靠性相关的非多项式(NP)硬组合优化问题。考虑到理论上的合理性,将所考虑的问题分解为主子问题和从子问题,并提出了一种计算效率高的二级迭代方法,用于求解该问题。为了解决从属子问题,采用了基于序数优化的n阶段方法,该方法与目标值评估的近似模型相关联。为了解决主子问题,使用了二等分法。在某些情况下,使用所提出的迭代两级方法获得的解决方案是最佳的。在12个节点的17链接计算网格上,通过十种情况测试了该方法的有效性。十种情况中的五种是随机选择的,在这些情况下获得的解决方案是最佳的,而不是“足够好”的。当使用带有2 GB RAM的Pentium IV PC执行时,所提出的方法获得所考虑的NP-hard组合优化问题的最优解所需的平均CPU时间为2.278 h。另外,所提出的方法的计算效率大大超过了具有精确模型的遗传算法。

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