A New Car Following Model： Comprehensive Optimal Velocity Model

In this paper, we present a new car-following model, i.e. comprehensive optimal velocity model (COVM), whose optimal velocity function not only depends on the following distance of the preceding vehicle, but also depends on the velocity difference with preceding vehicle. Simulation results show that COVM is an improvement over the previous ones theoretically. Then, the stability condition of the model is obtained by the linear stability analysis, which has shown that the model could obtain a bigger stable region thanprevious models in the phase diagram. Through the nonlinear analysis, the Burgers, Korteweg-de Vries (KdV) and modified KdV (mKdV) equations are derived for the triangular shock wave, the soliton wave, and the kink-antikink soliton wave. At the same time, numerical simulations are also carried out to show that the model could simulate these density waves.     

不同推介模式下网络零售商广告策略研究

研究了不同推介模式下网络零售商的广告策略问题,通过Nash静态博弈方法求解无推介、单向推介以及双向推介三种模式下零售商均衡零售价格、广告努力水平及利润。研究发现:无推介情况下,两零售商均衡广告策略为同时投入广告。单向推介情况下,若利润分享比例较小,则两零售商同时投入广告;若利润分享比例较大,则随着广告成本系数的增大,两零售商均衡广告策略从仅有被推介零售商投入广告转变为同时投入广告。双向推介情况下,若广告成本系数较小,则两家零售商都不投入广告;若广告成本系数较大,则两家零售商同时投入广告。此外,还分析了零售商均衡广告策略下的推介动力问题。     

Existence and generic stability of solutions for multiclass multicriteria traffic equilibrium problems with capacity constraints of arcs

ABSTRACT

In this paper, we introduce the multiclass multicriteria traffic equilibrium problem with capacity constraints of arcs and its equilibrium principle. Using Fan–Browder's fixed points theorem and Fort's lemma to prove the existence and generic stability results of multiclass multicriteria traffic equilibrium flows with capacity constraints of arcs.     

RESULTS ON A QUESTION OF ZHANG AND YANG

Abstract For a meromorphic function f,let N(l+1(r,1/f) denote the counting function of zeros of f of order l at least.Let f be a nonconstant meromorphic function,such that (N)(r,f) =S(r,f).Denote F =f...     

涉及正规族与分担值的Hayman 问题

设n, k (n ≥ k + 3) 是两个正整数, a (≠0), b 是两个有穷复数, F 是区域D 内的一族亚纯函数,其中族中每个函数的零点都至少是k 重. 若对于F 中的任意两个函数f, g, f^(k)-afⁿ 与g^(k)-agⁿ 在D 内分担b, 则F 在D 内正规. 两个例子说明函数族中的每个函数的零点都至少是k 重以及n ≥ k+3是最佳的.     

与差分算子或移位算子分担小函数的整函数

In this paper,we give some interesting results concerning the entire function f(z) sharing a small function a CM with its difference operators or shifts.     

具有四分担值的亚纯函数的唯一性

研究具有四个分担值的亚纯函数的唯一性问题,对Gunderson的一个结果做了改进。     

共享三个值的亚纯函数的唯一性问题

This paper investigate the uniqueness problems for meromorphic functions that share three values CM and proves a uniqueness theorem on this topic which can be used to improve some previous related results.     

GMPLS网络中约束最短路径优先算法研究

针对GMPLS网络中求解最短路径问题，提出了一种具有共享风险链路约束的启发式约束最短路径优先路由算法，对该算法的有效性和可靠性进行了比较全面的仿真测试，仿真结果显示此算法提高了网络资源的利用率，减少了网络的阻塞，同时降低了链路失效时的风险，提高了网络的强壮性和可靠性．     

A New Fluorimetric Reagent for Determination of Trace Amounts of Europium

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