二机系统调度在一类线性摄动下具有鲁棒性的一个充要条件

AN EQUIVALENT CONDITION FOR TWO MACHINE SYSTEM SCHEDULING WITH ROBUSTNESS UNDER A CLASS OF LINEAR PERTURBATION

用实数集R上一个含幺Abelian半群的性质研究了n／2／F／Cmax调度在一类线性摄动下具有鲁棒性的条件．由最优鲁棒调动的定义,证明了标称系统的最优鲁棒调度与标称系统的越-韩最优调度是等价的．

In this paper, the condition for the n/2/F/Cmax scheduling problem with robustness is studied by using a property of Abelian semi-group which contains identity element on the real number set R. According to the practical problem, we construct a class of linear perturbation system model and propose system output expression and some of its properties. Finally, by the definition of optimal robust scheduling, we prove that the optimal robust scheduling of the reference system is equivalent to the Yue-Han＇s optimal scheduling of the reference system.