论文标题
冗余系统中可实现的稳定性
Achievable Stability in Redundancy Systems
论文作者
论文摘要
我们考虑了一个具有$ n $并行服务器的系统，即立即将传入的作业复制到$ d $服务器。 $ n $服务器中的每一个都有自己的队列，并遵循FCFS纪律。一旦完成了第一个工作复制品，其余的复制品就会被放弃。我们研究了具有不同的工作类型和异质服务器的相当通用的工作负载模型可实现的稳定区域，反映了工作服务器的亲和力关系，这可能来自数据局部性问题和软兼容性约束。在以下假设的假设是，我们预先知道了工作类型，我们显示了比使用新票的（NBU）分布式速度变化，即没有复制$（d = 1）$给出了比复制$（d> 1）$更大的稳定性区域。令人惊讶的是，这并不取决于内在作业规模的基本分布，但是观察工作类型对于本陈述的保留至关重要。在不可观察的工作类型的情况下，我们显示的是，对于新的（NWU）分布式速度变化（$ d = n $）的速度变化（$ d = n $）给出了比没有复制$（d = 1）$更大的稳定性区域。
We consider a system with $N$ parallel servers where incoming jobs are immediately replicated to, say, $d$ servers. Each of the $N$ servers has its own queue and follows a FCFS discipline. As soon as the first job replica is completed, the remaining replicas are abandoned. We investigate the achievable stability region for a quite general workload model with different job types and heterogeneous servers, reflecting job-server affinity relations which may arise from data locality issues and soft compatibility constraints. Under the assumption that job types are known beforehand we show for New-Better-than-Used (NBU) distributed speed variations that no replication $(d=1)$ gives a strictly larger stability region than replication $(d>1)$. Strikingly, this does not depend on the underlying distribution of the intrinsic job sizes, but observing the job types is essential for this statement to hold. In case of non-observable job types we show that for New-Worse-than-Used (NWU) distributed speed variations full replication ($d=N$) gives a larger stability region than no replication $(d=1)$.
