Fractional Brownian Heavy Traffic Approximations of Multiclass Feedforward Queueing Networks

We consider multiclass feedforward queueing networks under first in first out and priority service disciplines driven by long-range dependent arrival and service time processes. We show that in critical loading the normalized workload, queue length and sojourn time processes can converge to a multi-dimensional reflected fractional Brownian motion. This weak heavy traffic approximation is deduced from a deterministic pathwise approximation of the network behavior close to constant critical load in terms of the solution of a Skorokhod problem. Since we model the doubly infinite time interval, our results directly cover the stationary case.AMS subject classification: primary 90B15, secondary 60K25, 68M20     

M/G/1/N vacation model with varying E-limited service discipline

We define and analyze anM/G/1/N vacation model that uses a service discipline that we call theE-limited with limit variation discipline. According to this discipline, the server provides service until either the system is emptied (i.e. exhausted) or a randomly chosen limit ofl customers has been served. The server then goes on a vacation before returning to service the queue again. The queue length distribution and the Laplace-Stieltjes transforms of the waiting time, busy period and cycle time distributions are found. Further, an expression for the mean waiting time is developed. Several previously analyzed service disciplines, including Bernoulli scheduling, nonexhaustive service and limited service, are special cases of the general varying limit discipline that is analyzed in this paper.     

带有无限到达源的Re-entrant Line的稳定性

用Foster判别准则,Weiss[13]给出了带有无限到达源的两站三步re-entrant line的稳定性的充分条件．本文用两种不同的方法得到了其稳定性的充分必要条件,即: 二维随机游动方法和Foster判别准则．同时,我们又用流体模型方法得到了系统稳定的充分条件,大大地简化了Weiss[13]的证明．     

Circuit-switching networks with FIFO plus justifying blockout service on infinite graphs

A class of circuit-switching open queueing networks is discussed. The main result of the paper is that if extra message flows are not too intensive and the path distribution is mainly concentrated on the paths of (graph) distance 1 (nearest neighbour connections), then the network has a unique stationary working regime, no matter how large the configuration graph of the network is. Standard properties of this regime are established such as decay of correlation and continuity.     

Representing workloads in GI/G/1 queues through the preemptive-resume LIFO queue discipline

We give in this paper a detailed sample-average analysis of GI/G/1 queues with the preemptive-resume LIFO (last-in-first-out) queue discipline: we study the long-run state behavior of the system by averaging over arrival epochs, departure epochs, as well as time, and obtain relations that express the resulting averages in terms of basic characteristics within busy cycles. These relations, together with the fact that the preemptive-resume LIFO queue discipline is work-conserving, imply new representations for both actual and virtual delays in standard GI/G/1 queues with the FIFO (first-in-first-out) queue discipline. The arguments by which our results are obtained unveil the underlying structural explanations for many classical and somewhat mysterious results relating to queue lengths and/or delays in standard GI/G/1 queues, including the well-known Bene's formula for the delay distribution in M/G/l. We also discuss how to extend our results to settings more general than GI/G/1.     

基于国际化产科教融合实训平台的教学模式改革与实践

在分析当前省属工科院校教育以能力为导向培养目标完成实施过程中遇到国际化困难问题的基础上，以青岛大学材料学科为例，提出了基于国际化产科教融合实训平台的教学模式改革举措，并经过实践验证证实其切实可行。包括：充分整合校内外材料学科整体资源，建立了国际化的产科教深度融合实训平台，构建了高效的国际化产科教深度融合协同育人实训平台动态管理运行机制；以实训平台为依托实现师资队伍、教学内容、教学模式、科研等全方位的国际化改革；基于国际化产教研融合实训平台的教学模式改革的实践收到显著成效，对全国省属高等院校理工学科专业建设国际化改革的推广有较好的示范作用。     

促进学科核心素养发展的不同实施模式的主题教学研究——以“氮循环”主题为例

主题教学因其整合性和问题解决的情境能够实现促进学科核心素养的发展,促进学科核心素养发展的主题教学呈现出3种不同开放度的实施模式:常态教学中开放度小、常态教学中开放度大、翻转课堂的主题教学实施模式。为了探索3种实施模式的教学效果,挖掘教学中的关键问题与对策,以“氮循环”主题教学为例,在3个实验班开展实证研究。研究结果表明,3种实施模式均实现了促进学生学科核心素养的发展,但对促进学科核心素养的不同维度效果不同。3种实施模式都存在实现学科核心素养的发展进阶、学生的情感发展过程、建立评价体系、教师有效干预等方面的关键问题,此外每种实施模式也有其特有的关键问题,本研究依据教学实践给出了积极建议和对策。     

吉林大学物理化学学科:笃学致远 润物无声

伴随建系而生的吉林大学物理化学学科是吉大化学学科的重要组成部分,在70年的发展中为整个化学学科的发展建设做出了重要贡献。吉大物化人一直坚持理论与实践并重的教育思想,培养了大批优秀人才。回顾了吉大物理化学学科的历史沿革,展现了吉林大学化学学院物理化学在课程和教材建设、科学研究和人才培养等方面所取得的成绩。在吉大化学70周年华诞之际,谨以此文向为吉大物化学科建设做出贡献的前辈致敬。     

电解生成亚铁离子返滴定法测定消毒液中过氧化氢含量的数字化实验*

氧化还原与电解的相关知识是中学化学学习的重点内容。应用自主研制的MXLab21先进数字化实验系统电解Fe₂(SO₄)₃溶液,用电解生成的Fe²⁺直接滴定KMnO₄溶液以测定其浓度,再用返滴法测定消毒液中H₂O₂的含量。对恒电流电解的最佳条件如Fe₂(SO₄)₃溶液浓度及电解电流大小进行了优化。该数字化实验系统相比较于常规数字化仪器(或手持技术)的优越性在于其自带电解、搅拌及控制系统,能在电解的同时利用电生物质实现对待测物质的准确测定,测定时间短(不超过4 min)。本实验采用预设终点电势值的方法自动估计滴定终点,不但便捷准确,且呈现出的实时直观的电势和电量随时间变化的动态曲线便于学生理解电解及氧化还原滴定反应的微观本质,对中学化学教学及化学学科核心素养的培养具有重要价值。     

吉林大学应用化学学科:理工兼备 特色发展

吉林大学应用化学学科始建于1986年,依托吉林大学化学学科深厚理论基础与学术优势,经过几代应用化学学科人的不懈努力,逐渐形成了“理工兼备”的学科特色。在吉林大学化学学科70华诞之际,回顾了应用化学学科的发展历程,着重介绍了应用化学学科在本科教学与专业特色、科学研究与平台建设、人才培养与社会服务等3个方面取得的成绩,以及今后发展的设想。