论文标题
关于投票系统的竞争分析
On Competitive Analysis for Polling Systems
论文作者
论文摘要
投票系统已被广泛研究,但是大多数研究都集中于具有用于到达的续订过程和服务时间随机变量的投票系统。实用应用程序驱动了需要任意到达的投票系统(不限于时变或批处理),并在工作到达后揭示了服务时间。为了满足需求,我们的工作考虑了具有通用设置的投票系统,并且首次为该系统中的在线调度策略提供了最坏的分析。我们为持续竞争比率的存在提供条件,并为投票系统中的一般调度策略提供竞争性下限。我们的工作还通过证明排队文学中几个良好的政策的竞争比率,例如具有详尽的,封闭或l有限的投票系统的循环政策来弥补排队和调度社区。
Polling systems have been widely studied, however most of these studies focus on polling systems with renewal processes for arrivals and random variables for service times. There is a need driven by practical applications to study polling systems with arbitrary arrivals (not restricted to time-varying or in batches) and revealed service time upon a job's arrival. To address that need, our work considers a polling system with generic setting and for the first time provides the worst-case analysis for online scheduling policies in this system. We provide conditions for the existence of constant competitive ratios, and competitive lower bounds for general scheduling policies in polling systems. Our work also bridges the queueing and scheduling communities by proving the competitive ratios for several well-studied policies in the queueing literature, such as cyclic policies with exhaustive, gated or l-limited service disciplines for polling systems.