Γ－环的强诣零根研究

报道作者在Γ－环的强诣零根方面的综合研究。Γ－环有无强诣零根的问题，来自于１９７１年Ｃｏｐｐａｇｅ与Ｌｕｈ的“Ｒａｄｉｃａｌｓｏｆｇａｍｍａｒｒｉｎｇｓ”中的定理５．４，由此可得：任何Γ－环都有强诣零根，这是一个严重的误解。但定理５．４的证明存在问题，因此就开始了Γ－环有无强诣零根的专项研究。先用性质接近于强诣零根的、且一定存在的拟次强诣零根、拟强诣零根去取代存在与否尚属未知的强诣零根，在研究Γ－环的结构上，它们起到了类似于强诣零根的作用；接着在给Γ－环略增条件后称之为Ｗｅａｋｅｒ　Γ＿Ｎ环中，证明了一定存在强诣零根，在这个环中还对强诣零根进行了多种刻划；以后在有限个元素的特殊Γ－环中进行了研究，应用动力系统中关于有限型子转移的若干结果，证得结论：有限个元素的Γ－环一定存在强诣零根；最后，成功地构造出一个反例一不存在强诣零根Γ－环．从而，否定了Ｃｏｐｐａｇｅ与Ｌｕｈ的定理５．４，澄清了Γ－环的根论研究史上的一个严重误解。     

MDD函数在单机总误工排序问题中的作用

本文把工件的修正工期（MDD：Modified Due Date）看成工件关于时间的函数，通过研究该函数在一定区间的性质建立了一个具有全局意义的定理，利用这个定理可以方便地导出有关单机总误工排序问题的一些重要结论．这些工作既能够很好地解释常用的MI）D规则的有效性，同时也说明MDD函数可以成为解决单机总误工排序问题的基本工具．     

状态概率的E-Bayes估计与多层Bayes估计

在文献[1]中提出了参数估计的一种方法--E-Bayes估计并给出了状态概率的E-Bayes估计的定义、E-Bayes估计公式、预测模型及其在证券投资中应用,本文在此基础上将给出状态概率的多层Bayes估计、状态概率的E-Bayes估计的性质--E-Bayes估计,多层Bayes估计的关系.最后,给出模拟算例.     

热管式吸附床制冷性能的实验研究

利用高效热管作为吸附床的传热部件,有效地提高了船用柴油机废气的热量回收。本文将热管式吸附床与传统的壳管式吸附床进行了性能对比。同时,选择氯化钙-氨作为吸附工质对,通过实验测定解吸、吸附过程的变化情况。本文的研究结果表明,采用热管式吸附床使得初始解吸和吸附速率有明显提高,从而有效缩短解吸和吸附周期,并能有效提高系统的SCP和COP。     

Requirements in mathematics textbooks: a five-dimensional analysis of textbook exercises and examples

Mathematics textbooks play a very important role in mathematics education and textbook tasks are used by students for practice to a large extent. Since the nature of the tasks may influence the way students think it is important that the textbooks provide a balance of a variety of tasks. The analyses of the requirements in textbook tasks contain the usual dimensions of content, cognitive demands, question type and contextual features. The aim of this study is to embed a new fifth dimension into the framework: mathematical activities. This addresses the question of what a student should do in a particular textbook task: to represent, to compute, to interpret or to use argumentation. The analysis encompassed more than 22,000 tasks from the most commonly used Croatian mathematics textbooks in the 6th, 7th and 8th grade. The results show that the textbooks do not provide a full range of task types. There is an emphasis on computation, while argumentation and interpretation activities, reflective thinking and open answer tasks are underrepresented. The study revealed that incorporating mathematical activities into the multidimensional framework of textbook tasks may help to better understand the opportunities to learn which are afforded students by using mathematics textbooks.     

1996~2017年《Operations Research》期刊发文统计分析

《Operations Research》(OR)是运筹与管理科学领域的顶级期刊,对其刊文进行统计分析,剖析国际运筹学科领域的主流研究机构及合作影响,探究当前研究热点问题及学科发展趋势,对于促进我国运筹学科领域的发展具有十分重要的指引作用.基于对WOS核心数据库中该期刊1996至2017年间全部刊文的统计分析,得出以下结论:近年来我国学者发文量稳步提升,表明我国运筹学科领域研究水平的显著提高,但其影响力仍有待进一步提升;机构合作、国际合作都有助于文章引文量的提升;引证分析显示柔性制造(流程柔性及效率)、巢式Logit模型的应用、网络收益管理等7个研究方向是当前、并继续成为运筹领域的研究热点.     

基于碳交易的闭环供应链碳减排与定价策略研究

在消费者对低碳产品存在偏好的碳交易市场中,研究两级闭环供应链中的减排与定价决策问题.对于制造商负责回收模式下的回收再制造过程,采用指数分布来刻画废旧产品质量水平的不确定性.假设新产品和再制造品存在竞争关系,建立制造商和零售商间的Stackelberg博弈模型,给出制造商确定减排投资和回收参考价格以及零售商决定两种产品的差别定价策略,通过算例分析回收产品的残值和碳交易价格对最优策略和供应链成员利润的影响.研究表明,为了获得利润最大,当碳交易的市场价格升高时,制造商应加大减排投资,且零售商应采取提高产品零售价的策略.     

Effects of knowledge spillover on inter-organizational resource sharing decision in collaborative knowledge creation

Collaborative knowledge creation is important for firms to gain new competitive advantages, but knowledge outgoing spillover harms their existing competitive advantages, which puts them into a dilemma when investing R&D resources. This study formalizes and investigates this dilemma using the Stackelberg leader–follower framework. Through our analyses, we find that, (1) current knowledge creation efforts and prior knowledge are substitutable in collaborative knowledge creation, and through controlling the ratio of current knowledge creation efforts to prior knowledge invested, the leader and the follower can gain benefits from collaboration and restrict knowledge outgoing spillover simultaneously; (2) because the leader invests resources first and faces moral hazards, it has the incentives to participate in collaborative knowledge creation only when its benefits from collaborative knowledge creation fruits and knowledge incoming spillover are bigger than those of the follower, and the more moral hazards it confronts, the more it demands; (3) the leader and the follower invest resources at ratios consistent with the benefits and costs the resources bring to them if they can determine the amount, or the collaboration is unstable.