The essence of distributed computing systems is how to schedule incoming requests and how to allocate all computing nodes to minimize both time and computation costs. In this paper, we propose a cost-aware optimal scheduling and allocation strategy for distributed computing systems while minimizing the cost function including response time and service cost. First, based on the proposed cost function, we derive the optimal request scheduling policy and the optimal resource allocation policy synchronously. Second, considering the effects of incoming requests on the scheduling policy, the additive increase multiplicative decrease (AIMD) mechanism is implemented to model the relation between the request arrival and scheduling. In particular, the AIMD parameters can be designed such that the derived optimal strategy is still valid. Finally, a numerical example is presented to illustrate the derived results.
翻译:分布式计算系统的实质是如何安排收到的请求,以及如何分配所有计算节点,以尽量减少时间和计算成本。在本文件中,我们提议为分布式计算系统制定一个成本意识最佳时间安排和分配战略,同时尽量减少成本功能,包括反应时间和服务成本。首先,根据拟议的成本功能,我们得出最佳请求时间安排政策和最佳资源分配政策同步。第二,考虑到收到的请求对时间安排政策的影响,采用添加式增加倍增效应(AIMD)机制,以模拟请求抵达与列表之间的关系。特别是,可设计全称性调整参数,使衍生的最佳战略依然有效。最后,用数字示例说明产生的结果。