On the Transient Behavior of the M/M/1 and M/M/1/M Queues

This paper gives a transient analysis of the classic M/M/1 and M/M/1/K queues. Our results are asymptotic as time and queue length become simultaneously large for the infinite capacity queue, and as the system’s storage capacity K becomes large for the finite capacity queue. We give asymptotic expansions for p_n(t), which is the probability that the system contains n customers at time t. We treat several cases of initial conditions and different traffic intensities. The results are based on (i) asymptotic expansion of an exact integral representation for p_n(t) and (ii) applying the ray method to a scaled form of the forward Kolmogorov equation which describes the time evolution of p_n(t).     

激光辐射半圆柱凹槽靶产生等离子体特点

在利用激光产生的等离子体作为增益介质,实现X射线激光器的研究中,等离子体的密度分布形状及其时间演化起着重要作用,它不仅决定了等离子体中的原子分子过程,还决定了X射线的传输特性。在一般的软X射线自发辐射放大的实验里,如线聚焦激光辐照薄箔实验,在脉宽为数十微微秒,功率密度约为10~(14)W/cm~2的高功率激光照射下,产生的靶等离     

非线性应力波传播理论的发展及应用

应力波传播理论是分析结构和材料在爆炸/冲击载荷作用下的响应及破坏特性的基础,在国防和民用工程上有重大价值。本文对作者们近半个世纪来在非线性应力波传播理论的发展及其工程应用方面所开展的主要研究作一回顾和讨论,包括：几类非线性应力波相互作用及失效,非线性粘弹性波传播理论及应用,动态破坏和应力波相互作用,以及应力波理论在防护工程中的应用等。     

Online batch scheduling with kind release times and incompatible families to minimize makespan

This paper studies online scheduling of jobs with incompatible families on a single unbounded batch machine under the KRT environment, where jobs arrive over time and “KRT” means that in the online setting no jobs can be released when the machine is busy. The goal is to determine a feasible schedule to minimize the makespan. We provide a best online algorithm with a competitive ratio of \(1+\frac{\sqrt{f^{2}-f+1}-1}{f}\), where f is the number of job families.     

SODIUM-LIKE RECOMBINATION X-RAY LASER

Experimental studies of soft X-ray laser for the sodium-likerecombination scheme conducted at the LF12 Laser Facility of SIOM(Shanghai Instituteof Optics and Fine Mechanics)are reported.Soft X-ray amplification was observed insodium-like copper ions by line-focused laser irradiation of slab targets.Based on thespatially-resolved measurements,the spatial distribution of the laser gain for the transition6g—4f(72.22(?))of sodium-like copper ions was obtained,and the maximums of gaincoefflcients and gain-length products at 550μm from target surface were 2.0 cm~(-1) and 3. 6,respectively.The evolution of spectrally discriminated spatial uniformity of line-shapedplasmas as lasing gain media produced by uniform laser illumination in line-focus isalso investigated.It is found that under this experimental condition the line-shapedplasma is very uniform after laser heating.     

氮功能化大环化合物及其Ni(Ⅱ)配合物的合成和谱学研究

以丙酮,乙二胺,溴乙酸乙酯为原料合成了三种新的氮功能化四氮杂大环化合物的配合物,用元素分析,电子光谱,红外光谱,氢核磁共振谱和质谱对它们进行了研究。     

间接骨折的应变片测量

本文设计的实验把离体猪股骨埋入明胶中,实现了更近实际的创伤模拟和实施了应变片测量技术在生物组织上的直接应用。证实了间接骨折是由应力波造成,而不是由空腔效应引起的。观察到骨的断裂表现出极强的脆性性质。     

SHPB装置应用于测量高温动态力学性能的研究

ＳＨＰＢ（分离式Ｈｏｐｋｉｎｓｏｎ压杆）装置由于具有结构简单、操作方便等优点，为人们普遍采用；但作测量材料的动态高温力学性能方面还存在诸多不便之处。本文研究了附有恒温加热炉的ＳＨＰＢ装置，利用一维应力波传播理论和传热学原理，修正了温度梯度场对波形测量的影响，从而使ＳＨＰＢ装置用于高温动态力学测量更为准确可靠；并实际测量了３０ＣｒＭｎＳｉＡ钢从室温到高温（６００℃）的动态（１．５～４．０×１０３ｓ－１）应力应变曲线。     

正交各向异性材料动态力学性能的理论与实验研究

从余能密度出发，以不变量理论为工具，导出了非线性超弹性正交各向异性材料本构关系的一般形式，提出了一个以波传播理论为基础的测定材料非线性本构关系参数的新方法，并用这种波动实验方法具体测定了玻璃纤维增强复合材料的非线性动态本构关系参数。     

有机玻璃在高应变率下的损伤型非线性粘弹性本构关系及破坏准则

对两种有机玻璃高应变率下的大变形和破坏行为进行了实验研究,通过改进文献[2]本构关系的非线性弹性项并引入损伤参量,建立了一个适用于更大变形范围、能描述“应力平台”及“本构失稳”的损伤型非线性粘弹性本构方程。相应地,从临界损伤量概念出发,提出以应变和应变率为控制变量的破坏准则。不论是本构关系还是破坏准则,理论计算均与试验结果吻合良好。