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Support for advance reservations of resources plays a key role in Grid resource management as it enables the system to meet user expectations with respect to time requirements and temporal dependence of applications, increases predictability of the system and enables co-allocation of resources. Despite these attractive features, adoption of advance reservations is limited mainly due to the fact that related algorithms are typically complex and fail to scale to large and loaded systems. In this work the authors consider two aspects of advance reservations. First, they investigate the impact of heterogeneity on Grid resource management when advance reservations are supported. Second, they employ techniques from computational geometry to develop an efficient heterogeneity-aware scheduling algorithm.
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