学术
调度系统n／m／P／Cmax[ω]在一类线性摄动下的鲁棒性
杨球[1] 马俊[2] 戴志勇[2]
[1]中国地质大学数理学院,湖北武汉430074 [2]武汉科技学院数理系,湖北武汉430074
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．[著者文摘]
文章出处:
《应用数学》-2006年19卷2期 -370-373页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）02-0370-04
On Robustness of Multi-Machine System n/m/P/Cmax[ω] Scheduling under a Class Linear Perturbation
YANG Qiu ,MA Jun ,DAI Zhi-yong （1. School of Math. and Phys. China University of Geosciences, Wuhan 430074, China ; 2. Department of Math. and Phys. College of Science and Technology of Wuhan, Wuhan 430074, China）
Abstract:
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.[著者文摘]
Key words:
Semi-group ; ×b- feasible; Rendezvous parameter ; Linear perturbation; Optimal scheduling; Robustness
基金资助:
湖北省自然科学基金资助项目（2004ABA014）
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