Interchange fee rate,merchant discount rate,and retail price in a credit card network: A game‐theoretic analysis

We consider two game‐theoretic settings to determine the optimal values of an issuer's interchange fee rate, an acquirer's merchant discount rate, and a merchant's retail price in a credit card network. In the first setting, we investigate a two‐stage game problem in which the issuer and the acquirer first negotiate the interchange fee rate, and the acquirer and the retailer then determine their merchant discount rate and retail price, respectively. In the second setting, motivated by the recent US bill “H.R. 2695,” we develop a three‐player cooperative game in which the issuer, the acquirer, and the merchant form a grand coalition and bargain over the interchange fee rate and the merchant discount rate. Following the cooperative game, the retailer makes its retail pricing decision. We derive both the Shapley value‐ and the nucleolus‐characterized, and globally‐optimal unique rates for the grand coalition. Comparing the two game settings, we find that the participation of the merchant in the negotiation process can result in the reduction of both rates. Moreover, the stability of the grand coalition in the cooperative game setting may require that the merchant should delegate the credit card business only to the issuer and the acquirer with sufficiently low operation costs. We also show that the grand coalition is more likely to be stable and the U.S. bill “H.R. 2695” is thus more effective, if the degree of division of labor in the credit card network is higher as the merchant, acquirer, and issuer are more specialized in the retailing, acquiring, and issuing operations, respectively. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

多孔材料药型罩聚能射流的形成条件

依据Herrmann状态方程和斜冲击波关系估算了多孔材料药型罩压垮之前的冲击温升,求解了经过冲击压缩卸载后材料的声速。给出了多孔材料药型罩聚能射流的形成条件。初始冲击温升会使材料的声速和强度降低,从而使多孔材料聚能射流形成射流的高速和低速条件降低。     

多媒体数据挖掘中数据间的相似性度量研究

聚类是多媒体数据挖掘的重要任务之一,数据之间的相似性度量是聚类的基础和前提。多媒体数据的特征矢量通常都是数十维甚至数百维的,但传统的相似度量方式一般只适用于低维数据。在分析高维数据特性的基础上,提出了一个新的度量方式。通过使用一个特定的策略对原始数据空间进行网格划分,该方法较好地避免了噪声数据对高维数据相似性度量的影响。实验证明此方法是有效的。     

基于信息需求的情报支持效能分析

经典的侦察与监测(S&R)系统效能分析方法存在模型难以建立、结果不准确等问题。考虑到S&R系统的目的是提供情报支持,提出一种基于信息需求的S&R系统情报支持效能分析方法。该方法以用户的信息需求为度量基准量,比较S&R系统性能对信息需求的满足度,并以此满足度作为S&R系统效能度量的指标。仿真实例表明了新方法的有用性。     

Maximizing the ratio of two convex functions over a convex set

The purpose of this article is to present an algorithm for globally maximizing the ratio of two convex functions f and g over a convex set X. To our knowledge, this is the first algorithm to be proposed for globally solving this problem. The algorithm uses a branch and bound search to guarantee that a global optimal solution is found. While it does not require the functions f and g to be differentiable, it does require that subgradients of g can be calculated efficiently. The main computational effort of the algorithm involves solving a sequence of subproblems that can be solved by convex programming methods. When X is polyhedral, these subproblems can be solved by linear programming procedures. Because of these properties, the algorithm offers a potentially attractive means for globally maximizing ratios of convex functions over convex sets. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

用速度平差法求解目标运动要素的改进方法

用速度平差法求解目标运动要素是潜艇作战中常用的目标运动要素求解方法.通过全面分析该算法的原理和求解过程,运用典型数值分析、数学归纳等方法,论证了目前速度平差法应用中求解过程的不完整性及漏根的根源,结合潜艇鱼雷攻击实际,采用迭代法和数轴验根法,提出了新的求解办法,提高了目标运动要素解算的可靠性和效率.     

联合作战规划中资源调度算法研究

以联合作战为例建立任务和作战平台资源模型,通过多维动态列表规划算法(Multidimensional Dynamic List Scheduling,MDLS)进行任务-平台分配,对平台选择提出了两种不同的优先权计算方法,通过对案例求解比较了不同方法的结果.     

平台式惯导系统初始对准最佳可观性分析

首先应用线性系统的奇异值分解理论对静基座初始对准的可观性及可观度进行了深入地分析.给出了不同奇异值下系统状态可观性状况的直方图,并且计算出不同状态组合时系统奇异值的大小及对可观性的影响.理论分析表明选取(△)N、(△)E、εE为不可观测时,系统的估计效果最好.其次采用卡尔曼滤波器对可观阵的秩为7的三种状态组合进行最优估计,仿真结果验证这种论断的正确性.最后从误差分析的角度阐述了这种论断的合理性.     

单脉冲雷达在多源环境中对目标的定位

在日益复杂的电子干扰环境下,提高精确制导武器的抗干扰能力一直是一个研究重点.针对单脉冲雷达跟踪目标过程中受到多源干扰这一背景,在多源信噪比未知情况下,提出一种利用某些先验信息对目标波束到达方向(DOA)进行估计的方法.这些先验信息包括噪声调频干扰信号(干扰带宽大于接收机带宽)经过匹配滤波后在围绕目标位置的各个距离分辨单元内都有信号输出以及雷达在跟踪目标过程中可获得目标信噪比.仿真结果表明,所提估计方法是有效的.     

管道热边界层减阻理论的应用研究

全面研究了高粘性液体管道流动的热边界层减阻理论的应用。利用管道热边界层理论中关于边界层的温度分布及层流、紊流时热边界层厚度的计算表达式,推证了管壁热流量及定性温度的计算表达式,利用指数型的粘温特性方程,采用积分方法推出了管道热边界层流动中层流和紊流摩擦水头损失的计算公式,并给出了设计应用实例。计算结果表明,对于高粘液体短管输送,其流动一般均为边界层入口段,热边界层减阻的最佳范围大致是管长L≤5km,管径D≤200mm。