摘要
用实数集R上一个含幺元的Abelian半群的性质来研究调度系统n/m/P/Cmax[ω]在一类线性摄动下的鲁棒性.根据实际问题的需要,提出了一类线性摄动模型,由系统输出表达式及其性质和最优鲁棒调度的定义,证明了:摄动系统的最优鲁棒调度必是标称系统n/m/P/Cmax[ω,1,0]的最优调度;标称系统的越韩最优调度必是它的最优鲁棒调度.
In this paper, the robustness of the n/m/P/Cmax[ω] scheduling problem is studied by using a property of Abelian semi-group which containing identity element on the real number set R. According to the practical problem,we construct a class of linear perturbation system model. By the system output expression and its properties,and the definition of optimal robust scheduling,we prove that.if ω^＊ is the optimal scheduling of the perturbation system,then ω^＊ must be the optimal scheduling of the reference system; the Yue-Han＇s optimal scheduling of the reference system must be its optimal robust scheduling.
出处
《应用数学》
CSCD
北大核心
2006年第2期370-373,共4页
Mathematica Applicata
基金
湖北省自然科学基金资助项目(2004ABA014)
关键词
线性摄动
半群
×b-可行和
集结值
最优调度
鲁棒性
Semi-group
×b- feasible
Rendezvous parameter
Linear perturbation
Optimal scheduling
Robustness
