带有二次约束的一类特殊三次规划问题的全局最优性充分条件

利用拉格朗日函数和L-次微分的方法,研究了带有二次约束的一类特殊三次规划问题的全局最优性条件。首先刻画出该类三次规划问题的拉格朗日函数的抽象次微分,从而得到了带有二次约束的三次规划问题的全局最优性充分条件。最后举例说明如何利用本文所给出的全局最优性充分条件来判定当前可行解就是全局最优解。
     

重加工具有退化与学习现象的单机批排序问题

本文对同一台机器下次品工件可重加工生产的问题进行研究。工件要求成批加工,每批包括连续加工的两个子批。第一子批的工件加工后,一部分工件是按照要求得到的优良品,另一部分工件是次品。次品的工件接着在第二子批重加工,而次品工件在等待重加工时会产生退化与学习现象,加工完成后得到的工件是优良品。同一子批的工件同时完工,工件的完工时间是该子批中最后一个工件的完工时间。假设每批生产的工件次品率是相同的。每一批工件开始加工和重加工时都有安装时间。目标函数是使总安装时间,重加工和库存持续费用最小,并且优良品工件的需求得到满足。对于该问题的一般情形给出了动态规划算法。接着当批工件的完工时间和批的规模满足一致关系,给出多项时间算法。
     

One step NaBH4 reduction of Pt-Ru-Ni catalysts on different types of carbon supports for direct ethanol fuel cells: Synthesis and characterization

The ternary catalyst Pt₇₅Ru₅Ni₂₀ was conducted on various types of carbon supports including functionalized Vulcan XC-72R (f-CB), functionalized multi-walled carbon nanotubes (f-MWCNT), and mesoporous carbon (PC-Zn-succinic) by sodium borohydride chemical reduction method to improve the ethanol electrooxidation reaction (EOR) for direct ethanol fuel cell (DEFC). It was found that the particle size of the metals on f-MWCNT was 5.20 nm with good particle dispersion. The alloy formation of ternary catalyst was confirmed by XRD and more clearly described by SEM element mapping, which was relevant to the efficiency of the catalysts. Moreover, the mechanism of ethanol electrooxidation reaction based on the surface reaction was more understanding. The activity and stability for ethanol electrooxidation reaction (EOR) were investigated using cyclic voltammetry and chronoamperometry, respectively. The highest activity and stability for EOR were observed from Pt₇₅Ru₅Ni₂₀/f-MWCNT due to a good metal-carbon interaction. Ru and Ni presented in Pt-Ru-Ni alloy improved the activity and stability of ternary catalysts for EOR. Moreover, the reduction of Pt content in ternary catalyst led to the catalyst cost deduction in DEFC.