A critically loaded multirate link with trunk reservation

We consider a loss system model of interest in telecommunications. There is a single service facility with N servers and no waiting room. There are K types of customers, with type ί customers requiring A _ί servers simultaneously. Arrival processes are Poisson and service times are exponential. An arriving type ί customer is accepted only if there are Rί(⩾A_ί ) idle servers. We examine the asymptotic behavior of the above system in the regime known as critical loading where both N and the offered load are large and almost equal. We also assume that R ₁,..., R _K-1 remain bounded, while R _K ^N ←∞ and R _K ^N /√N ← 0 as N ← ∞. Our main result is that the K dimensional “queue length” process converges, under the appropriate normalization, to a particular K dimensional diffusion. We show that a related system with preemption has the same limit process. For the associated optimization problem where accepted customers pay, we show that our trunk reservation policy is asymptotically optimal when the parameters satisfy a certain relation. This revised version was published online in June 2006 with corrections to the Cover Date.     

Fast and slow light generated simultaneously for up-down-link frequency converter applications

We firstly propose a new system for simultaneous fast and slow light generation using a soliton pulse propagating within the nonlinear micro-ring resonators. The nonlinear Kerr effect induces the spreading frequency bands within the micro-ring device, where the chaotic filtering characteristics can be employed using the appropriate micro-ring parameters. Results obtained have shown that the wide spreading of frequency bands can be generated and selected to form the optical wireless communication links. In this work, the selected down-link and up-link frequency bands are 500 MHz and 2 GHz, respectively. The proposed system can be implemented within the mobile telephone hand set, where the two different frequency carriers within the same frequency bands can be selected to form the up-down-link converters, which means that the frequency converter can be performed within a single system.     

On alternation numbers of links

We construct infinitely many hyperbolic links with x-distance far from the set of (possibly, splittable) alternating links in the concordance class of every link. A sensitive result is given for the concordance class of every (possibly, split) alternating link. Our proof uses an estimate of the τ-distance by an Alexander invariant and the topological imitation theory, both established earlier by the author.     

Generalized Seifert surfaces and signatures of colored links

In this paper, we use `generalized Seifert surfaces' to extend the Levine-Tristram signature to colored links in . This yields an integral valued function on the -dimensional torus, where is the number of colors of the link. The case corresponds to the Levine-Tristram signature. We show that many remarkable properties of the latter invariant extend to this -variable generalization: it vanishes for achiral colored links, it is `piecewise continuous', and the places of the jumps are determined by the Alexander invariants of the colored link. Using a -dimensional interpretation and the Atiyah-Singer -signature theorem, we also prove that this signature is invariant by colored concordance, and that it provides a lower bound for the `slice genus' of the colored link.

     

Excluded Minors and the Ribbon Graphs of Knots

In this article we consider minors of ribbon graphs (or, equivalently, cellularly embedded graphs). The theory of minors of ribbon graphs differs from that of graphs in that contracting loops is necessary and doing this can create additional vertices and components. Thus, the ribbon graph minor relation is incompatible with the graph minor relation. We discuss excluded minor characterizations of minor closed families of ribbon graphs. Our main result is an excluded minor characterization of the family of ribbon graphs that represent knot and link diagrams.     

基于OPNET的星地光网络性能测试仿真平台研究

为了测试星地光网络的性能,设计了一种基于OPNET的星地光网络性能测试仿真平台。介绍了平台的总体技术架构,探讨了星间链路建立的条件。采用最大接入仰角与最长服务时间加权的方式,完成星地链路的卫星接入服务;按照切换呼叫优先的策略完成业务传输中的卫星切换服务,确保星地链路不间断的通信能力。根据最小链路代价和首次命中原则,实现星地光网络的路由与波长的动态分配。最后,利用平台的OPNET软件测试了三种星座下的星地光网络性能,测试结果表明：在LEO、MEO和GEO星座下,星地光网络的网络阻塞率分别为10%、40%和54%,平均网络时延分别为0.1s、0.07s和0.054s。测试结果对星地光网络的工程应用具有一定的指导意义。     

数据链组网与数据传输仿真技术

研究数据链系统中的组网与数据传输技术,对于构建自主的数据链系统以及数据链系统的测试、评估极为关键。同时,进一步验证所设计的数据链系统的有效性、理解数据链的主要功能与性能参数,为进一步研究与设计测控数据链技术奠定基础。对数据链系统及数据链组网与数据传输技术进行了分析,并简要介绍不同数据链系统的组网与数据传输技术的差别,在此基础上提出一种数据链组网与数据传输仿真系统方案,对系统的功能和工作过程进行了分析,为数据链的构建、测试及评估提供支持。最后,对数据链及其测试评估系统构建及发展趋势进行了展望。该研究在数据链测试仿真评估系统中的验证效果良好,从而为数据链系统的设计提供了参考和依据。     

Computing boundary slopes of 2-bridge links

We describe an algorithm for computing boundary slopes of 2-bridge links. As an example, we work out the slopes of the links obtained by surgery on one component of the Borromean rings. A table of all boundary slopes of all 2-bridge links with 10 or less crossings is also included.

     

洞庭湖区洪涝灾害的形成机制分析

为搞好洞庭湖区洪涝灾害的预测和防灾减灾,促进湖区经济建设,本文对洞庭湖区洪涝灾害的形成机制进行了分析研究.结果表明:80 %特大洪涝灾害的发生在厄尔尼诺年的次年,其内在机制是厄尔尼诺事件所导致的全球气候异常.大气环流的异常是洪涝发生的根本原因,主要表现在有特大洪涝年汛期,位于110°~120°E的西太平洋副高脊线位置都稳定处于19°~24°N之间,且越过24°N的时间大致与城陵矶年最高水位出现时间相吻合;西风带形势稳定;印度低压偏强并持续稳定.洞庭湖区洪涝与湖区、四水流域、长江上游东部区和西部区等广泛地域的降水密切相关,汛期在这4个区域第一次大范围的强降水过程以后20 天各代表站降水量总和的平均值对洞庭湖的洪涝预测具有决定性意义.