Preservation of generalized ageing classes on the residual life at random time

In this paper, we provide some new preservation properties of generalized ageing classes (s-IFR) on the residual life at random time, where s is a nonnegative integer. We also obtain bounds of the residual life at exponential random time. Results are expected to be useful in the reliability, queue theory and actuarial science.     

An adjusted cumulative Kullback-Leibler information with application to test of exponentiality

Abstract

In order to discriminate between two probability distributions extensions of Kullback–Leibler (KL) information have been proposed in the literature. In recent years, an extension called cumulative Kullback–Leibler (CKL) information is considered by authors which is closely related to equilibrium distributions. In this paper, we propose an adjusted version of CKL based on equilibrium distributions. Some properties of the proposed measure of divergence are investigated. A test of exponentiality based on the adjusted measure, is proposed. The empirical power of the presented test is calculated and compared with some existing standard tests of exponentiality. The results show that our proposed test, for some important alternative distributions, has better performance than some of the existing tests.     

Ranking Income Distributions by Deprivation Orderings

This paper has examined the problem of ranking income distributions using absolute deprivation ordering. It appears that the ranking of distributions by this ordering may be more unambiguous than that generated by the relative deprivation ordering. The class of average deprivation indices consistent with the absolute deprivation criterion is also identified.     

魔法数字7：米勒法则的行为经济学分析:

米勒(1956)提出,人脑同时只能处理7±2个信息团,这一发现被称为米勒法则。虽然学者们对于米勒法则所指的魔法数字究竟是多少仍有争议,但人脑具有短期存储与信息处理限制这一事实已被学者们所公认。根据这一法则,人们在进行偏好排序时有同时处理项目数量的约束,这一约束对消费者进行商品束的偏好排序有着重要影响。本文通过一个两阶段实验证明,超过人脑处理能力限制的偏好排序是不稳定的。由于人脑处理信息能力的限制,消费者只能对有限的数种商品进行排序。这也是许多行为经济学研究所发现但并未合理解释的现象背后的原因。米勒法则在行为经济学上还应有更大的发展和应用。     

钙钛矿锰氧化物电荷有序体系中自旋玻璃行为研究进展

本文对国内外钙钛矿锰氧化物电荷有序体系中自旋玻璃行为的研究现状进行了分析,对通过B位掺杂和外加磁场来研究自旋玻璃行为的新方案提出了初步设想。     

DEA评价模型应用的几点探讨

为更好地应用ＤＥＡ评价模型，本文讨论了ＤＥＡ模型中定性指标的模糊处理及权重分布的随机处理，运用主成分分析法对ＤＥＡ模型指标体系进行处理，并对ＤＥＡ评价结果进行了排队分析．     

Optimal Inventory Control with Retail Pre‐Packs

A pre‐pack is a collection of items used in retail distribution. By grouping multiple units of one or more stock keeping units (SKU), distribution and handling costs can be reduced; however, ordering flexibility at the retail outlet is limited. This paper studies an inventory system at a retail level where both pre‐packs and individual items (at additional handling cost) can be ordered. For a single‐SKU, single‐period problem, we show that the optimal policy is to order into a “band” with as few individual units as possible. For the multi‐period problem with modular demand, the band policy is still optimal, and the steady‐state distribution of the target inventory position possesses a semi‐uniform structure, which greatly facilitates the computation of optimal policies and approximations under general demand. For the multi‐SKU case, the optimal policy has a generalized band structure. Our numerical results show that pre‐pack use is beneficial when facing stable and complementary demands, and substantial handling savings at the distribution center. The cost premium of using simple policies, such as strict base‐stock and batch‐ordering (pre‐packs only), can be substantial for medium parameter ranges.     

震后交通管制下多出救点应急物资调运问题

销售季节性商品的零售企业在销售季节开始前通常仅能获得有限的市场信息,在销售过程中因滞销而产生剩余库存的现象十分普遍。因此,许多零售企业会将商品在一级市场销售之后以折扣价格在二级市场上继续销售。为此,建立了这一问题的两阶段模型,在较宽松的需求假设下分析了模型所具有的性质,通过求解得到了零售企业对季节性商品的订货量决策和商品在两级市场间转换时刻决策所要满足的最优条件。     

An Analytical Investigation of the Bullwhip Effect

The Bullwhip Effect is problematic: order variability increases as orders propagate along the supply chain. The fundamental differential delay equations for a retailer's inventory reacting to a surge in demand are solved exactly. Much of the rich and complex inventory behavior is determined by the replenishment delay. The analytical solutions agree with numerical integrations and previous control theory results. Managerially useful ordering strategies are proposed. Exact expressions are derived for the retailer's orders to the manufacturer, and the Bullwhip Effect arises naturally. The approach is quite general and applicable to a wide variety of supply chain problems.     

需求分布规律变化情况下的报童订货策略

在需求分布规律变化情况下,报童在进行订货决策时会因为错误判断需求分布规律而导致期望库存成本增加。为了解决这一问题,本文集成传统历史需求信息和非传统需求信息以正确地认知需求分布规律,在此基础上决策订货量。假设需求服从均值不同、方差相同的两种类型的正态分布,每一种正态分布的概率已知。利用信号检测理论构建基于历史需求信息与需求分布概率的报童最优订货策略,并与只基于需求分布概率的直觉规则订货策略进行对比。结果表明：只要排除需求分布概率很大或很小两种极端情况,最优订货策略比直觉规则订货策略在控制期望库存成本方面的作用更明显,即利用历史需求信息可以有效修正报童对实际需求分布的检测结果,从而提高实际订货决策的准确性。研究结果对传统历史需求信息和非传统需求信息的集成以及需求信息交换等有一定的管理学启示和应用价值。