A comparative study of the inventory system with service facility and postponed demands

In this article, we present a continuous review （s,S） inventory system with a service facility consisting of finite buffer （capacity N ） and a single server. The customers arrive according to a Poisson process. The individual customer＇s unit demand is satisfied after a random time of service, which is assumed to be exponential. When the inventory level drops to s＇an order for Q（= S-s） items is placed. The lead time of reorder is assumed to be exponential distribution. An arriving customer, who finds the buffer is full, enters into the pool of infinite size or leaves the system according to a Bernolli trial. At the time of service completion, if the buffer size drops to a preassigned level L （1 〈 L 〈 N） or below and the inventory level is above s, we select the customers from the pool according to two different policy ： in first policy, with probability p （0 〈 p 〈 1） we select the customer from the head of the pool and we place the customer at the end of the buffer; in the second policy, with p （0 〈 p 〈 1） the customer from the pool is transferred to the buffer for immediate service and after completion of his service we provide service to the customer who is in the buffer with probability one. If at a service completion epoch the buffer turns out to be empty, there is at least one customer in the pool and the inventory level is positive, then the one ahead of all waiting in the pool gets transferred to the buffer, and his service starts immediately. The joint probability distribution of the number of customers in the pool, number of customers in the buffer and the inventory level is obtained in the steady-state case. Various stationary system performance measures are computed and total expected cost rate is calculated. A comparative result of two models is illustrate numerically.     

一类时滞线性切换系统的稳定性和镇定

针对一类具有状态延迟的连续线性切换系统,研究了其渐近稳定性及状态反馈和输出反馈镇定控制律的设计问题.首先利用公共李亚普诺夫函数法给出了系统渐近稳定的充分条件及该条件下切换律的构造方法,然后给出了状态反馈和输出反馈镇定的充分条件,同时给出了稳定化控制律的参数化表示和相应切换律的构造方法.最后举例说明了结果的有效性.     

一类三阶非线性中立型时滞差分方程的振动性和渐近性

本文研究了一类三阶非线性中立型时滞差分方程Δ3(a(n)x(n)-b(n)x(n-τ)) q(n)f(x(n-σ))=0的振动性,得到了该方程振动的一个充分条件及其有界的非振动解趋于零的判据.     

不掏槽掘进爆破机理的探讨

对不掏槽掘进爆破的理论研究可知 ,不掏槽掘进爆破主要降低了岩石抗爆能力 ,改变了自由面形成方向和过程 ,减小了岩石的夹制作用 ,装药爆炸后的比冲量沿炮孔更加均匀分布。因此 ,不掏槽掘进爆破从理论上优于掏槽爆破。     

关于丢番图方程x~4±5x~2y~2 5y~4=z~2

利用初等方法及Fermat无穷递降法 ,获得了丢番图方程x4 ± 5x2 y2 5y4 =z2 与x4 ± 10x2 y2 5y4 =z2 的正整数解公式     

定标粒子理论在加盐萃取精馏中的应用

阐明萃取精馏溶剂加盐如何提高相对挥发度。根据定标粒子理论基本方程的建立过程 ,导出了萃取精馏分离过程盐效应常数与加盐前后无限稀释相对挥发度之间的关系。对分离非极性体系根据定标粒子理论的求解方法计算出盐效应常数 ks,进而求得加盐后无限稀释相对挥发度 ,并与实验值对比吻合良好。对分离极性体系定性比较被分离组分 ks的大小。所得结论与实际情况吻合 ,将有助于加盐萃取精馏的理论研究     

结构主动变刚度控制中的若干问题

探讨了主动变刚度（AVS）控制算法中地震信息预测和控制性能指标选择等问题,并通过算例研究了主动变刚度控制的效能和相关的影响因素,如结构阻尼、时滞以及主动变刚度控制元件丰置等。结果表明：主动变刚度控制是一种易于工程应用的结构减震方法,通过合理措施,可达到经济、高效的目的。     

一类捕食chemostat模型的食饵一致持续生存

考虑了一类双营养条件下带时滞的捕食chemostat模型。利用Liapunov泛函方法和Razumikhin方法,得到了食饵种群的一致持续生存,而捕食者种群趋于绝灭的充分条件。     

关于丢番图方程ax4+bx2y2+cy4=dz2

该文利用初等数论和Fermat无穷递降法 ,证明了丢番图方程ax4 bx2 y2 cy4=dz2 在 (a ,b ,c,d) =(1,± 5 0 ,12 5 ,1) ,(1,± 2 5 ,12 5 ,1) ,(1,- 10 ,5 ,1) ,(1,5 ,5 ,1) (1,± 10 ,5 ,5 ) ,(1,± 5 ,5 ,5 ) ,(1,- 5 0 ,12 5 ,5 )和 (1,2 5 ,12 5 ,5 )时均无满足 (x,y) =(x,z) =(y ,z) =1的正整数解。     

投资时滞与时滞投资系统模型

在分析投资时滞特征的基础上,讨论投资时滞的计算方法,并给出带有时滞的投资系统模型。