竞争环境下供应链的BOPS合作策略及其对交通拥堵改善的影响

针对由一个拥有线上直销渠道的制造商以及一个线下零售商组成的供应链,考虑消费者对不同渠道的偏好构建了供应链博弈模型,研究了竞争环境下制造商与零售商的最优BOPS合作策略,并分析了BOPS合作在改善交通拥堵方面的作用。研究表明,BOPS合作在缓解供应链双重边际效应的同时会加剧渠道之间的价格竞争,所以并不总是对供应链有利;仅当消费者线上渠道偏好程度比较低且线下麻烦成本比较大时,制造商和零售商才会都从BOPS合作中受益从而自愿达成合作,其他情形下制造商可根据供应链利润变化设计转移支付契约促成与线下零售商的BOPS合作并实现双赢;此外,一定条件下BOPS合作能够通过调整渠道需求结构,在保证供应链成员利润的同时对交通拥堵改善也带来正向作用。     

Unusual Pathways of Triplet State Dynamic Relaxation in Meso-Aryl-Substituted Porphyrins and Their Chemical Dimers at 295 K

It was found that mono- and di-meso-phenyl substitution in octaethylporphyrins (OEP)and their chemical dimers with the phenyl ring as a spacer manifests itself in the dramatical shortening of T₁ state lifetimes at 295 K (from 1.5 ms down to 2–5 s in degassed toluene solutions). On the other hand, this substitution does not influence spectral-kinetic parameters of S₀ and S₁ states. The enhancement of the T₁ state non-radiative deactivation is explained by torsional librations of the phenyl ring around a single C-C bond in sterically encumbered OEP molecules leading to non-planar dynamic distorted conformations in the excited T₁ states. For these compounds with electron-accepting NO₂-groups in the meso-phenyl ring the strong non-radiative deactivation of S₁ and T₁ states (by 2–3 orders of magnitude) is observed upon the displacement of NO₂-group from para-to ortho-position of the phenyl ring. The S₁ state quenching is caused by the direct intramolecular electron transfer to low-lying CT state of the radical ion pair (the normal region, non-adiabatic case presumably, V = 130–190 cm^–1 in dimethylformamide). The additional deactivation of the T₁ state is connected with thermally activated transitions to upper-lying CT states as well as the strengthening of intersystem crossing probabilities.     

基于质心理念的无线传感网络路由协议的研究与改进*

在无线传感器网络中存在诸如节点能量损耗以及数据传输时所存在的时延等问题,因此在深入研究PEGASIS以及相关改进算法的基础上,并结合力学中质心的概念而提出一种基于质心理念的链式算法CMC-PEGASIS(Center of mass concept-PEGASIS)。该算法将整个传感器区域分成等宽的五个子区域,通过计算每个子区域内节点至基站的距离并按照距离与基站的远近来成链。其次引入质心的概念找到每个区域节点的能量中心,同时结合节点自身的能耗以及每个节点与基站的距离关系,得到每个子区域中的最佳的簇头节点,最后每个区域的簇头节点直接与基站完成信息的传输。经过理论分析和仿真结果得知：CMC-PEGASIS算法降低了全局能耗、减少了信息延迟率同时延长了网络的生命周期。     

考虑次近邻相互作用下一维单原子链中的孤立波

利用多重尺度法结合准不连续性近似,研究了涉及次近邻相互作用下的一维单原子链中的波动问题,得到了其新的色散关系.结果表明,在同时考虑次近邻相互作用和非谐相互作用的情况下,一维单原子链中不仅存在包络孤立波、扭状和反扭状孤立波,而且存在另一种孤立波形式的元激发——呼吸子. 关键词： 一维单原子链 非谐相互作用 孤立波     

Dynamics of remote entanglement in one-dimensional Ising chains with Dzyaloshinskii-Moriya interactions

With the introduction of Dzyaloshinskii-Moriya (DM) interaction, dynamics of the remote entanglement in one-dimensional Ising chains is investigated. It is found that the DM interaction can excite the remote entanglement from an initial Néel state. For a given strength of DM interaction, the concurrence between the end spins oscillates and decreases simultaneously with the increase of the chain’s length, and drops to zero at a critical length. For the chains with two and three spins, it is very interesting that the dynamics of the staggered magnetization (or the chiral parameter) can be used to qualitatively estimate the evolution of the remote concurrence between the end spins. At last, we discuss the generation of W state from the Ising chain with DM interactions, and it is obtained that W state can only be prepared in the three-qubit and four-qubit chains with a specific strength of DM interaction.     

An explanation of the phenomenon of polytypism

Based on the analogy between polytypes and spin-half Ising chains, polytypes can be considered as different phases of a spin-half Ising system with competing nearest neighbour and next nearest neighbour interactions operating in a single direction. It is known that such an Ising system exhibits extremely rich and complicated phase behaviour. This behaviour is shown to be very similar to the phase behaviour exhibited by polytypes.     

Reversible dynamics and the macroscopic rate law for a solvable Kolmogorov system: The three bakers' reaction

We investigate a piecewise linear (area-preserving) mapT describing two coupled baker transformations on two squares, with coupling parameter 0c1. The resulting dynamical system is Kolmogorov for anyc0. For rational values ofc, we construct a generating partition on whichT induces a Markov chain. This Markov structure is used to discuss the decay of correlation functions: exponential decay is found for a class of functions related to the partition. Explicit results are given forc=2^–n. The macroscopic analog of our model is a leaking process between two (badly) stirred containers: according to the Markov analysis, the corresponding progress variable decays exponentially, but the rate coefficients characterizing this decay are not those determined from the one-way flux across the cell boundary. The validity of the macroscopic rate law is discussed.     

The simulation of XYZ-spin chain in coupled cavities

We simulated anisotropic XYZ-spin chain with an array of coupled cavities, each of which contains one 4-level atom. The anisotropic parameters of the effective Hamilton can be tuned by controlling the external lasers. The validity of our approximations is confirmed via a numerical simulation.     

具有时滞的离散n种群食物链系统的持久性

研究了一类具有时滞的非自治离散时间n种食物链系统,并通过应用一种新的方法,获得了系统持久的充分条件．     

若干经济数学模型的研究与应用

本文论述了近些年我们在投入产出模型、广告最优随机控制模型、最佳营销管理模型以及时间序列—马尔可夫链组合预测模型等方面所做的研究工作,同时也论及国内外在上述几方面的研究状况．