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This paper studies the continuous connected 2-facility location problem (CC2FLP) in trees. Let \(T = (V, E, c, d, \ell , \mu )\) be an undirected rooted tree, where each node \(v \in V\) has a weight \(d(v) \ge 0\) denoting the demand amount of v as well as a weight \(\ell (v) \ge 0\) denoting the cost of opening a facility at v, and each edge \(e \in E\) has a weight \(c(e) \ge 0\) denoting the cost on e and is associated with a function \(\mu (e,t) \ge 0\) denoting the cost of opening a facility at a point x(e, t) on e where t is a continuous variable on e. Given a subset \(\mathcal {D} \subseteq V\) of clients, and a subset \(\mathcal {F} \subseteq \mathcal {P}(T)\) of continuum points admitting facilities where \(\mathcal {P}(T)\) is the set of all the points on edges of T, when two facilities are installed at a pair of continuum points \(x_1\) and \(x_2\) in \(\mathcal {F}\), the total cost involved in CC2FLP includes three parts: the cost of opening two facilities at \(x_1\) and \(x_2\), K times the cost of connecting \(x_1\) and \(x_2\), and the cost of all the clients in \(\mathcal {D}\) connecting to some facility. The objective is to open two facilities at a pair of continuum points in \(\mathcal {F}\) to minimize the total cost, for a given input parameter \(K \ge 1\). This paper focuses on the case of \(\mathcal {D} = V\) and \(\mathcal {F} = \mathcal {P}(T)\). We first study the discrete version of CC2FLP, named the discrete connected 2-facility location problem (DC2FLP), where two facilities are restricted to the nodes of T, and devise a quadratic time edge-splitting algorithm for DC2FLP. Furthermore, we prove that CC2FLP is almost equivalent to DC2FLP in trees, and develop a quadratic time exact algorithm based on the edge-splitting algorithm. Finally, we adapt our algorithms to the general case of \(\mathcal {D} \subseteq V\) and \(\mathcal {F} \subseteq \mathcal {P}(T)\). 相似文献
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品牌延伸:资产价值转移与理论模型创建 总被引:5,自引:1,他引:5
本文通过对品牌延伸(Brand Extension)的研究综述和实证研究,提出决定品牌延伸的三大因子,并在此基础上构成品牌资产价值(Brand Asset Value),进而研究其在品牌延伸过程中的价值转移,从而构成了评估品牌延伸成败的标准,最终将各种因子和评估标准进行整合,提出了品牌延伸的理论模型。 相似文献
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在中央计划者经济框架内,将无房户率引入效用函数,构建关于公共住房投资和租金补贴的最优增长模型.通过中央计划者的最优决策得到均衡状态,给出均衡状态下的模型最优解和鞍点路径,得出公共住房存量增长对无房户率的影响规律.结论显示,住房保障政策的选择与住宅市场发展阶段、住宅市场供给状况、政府偏好等因素密切相关.这为我国住房保障政策的制定与实施提供了依据. 相似文献
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上市公司总经理更换、高管团队重组与企业绩效改进 总被引:2,自引:1,他引:2
本文针对以往总经理更换理论研究存在的关键问题,特别是对高管团队重组现象的忽视,构建了新的理论假设,并利用中国上市公司数据进行了检验.研究发现,总经理被迫离职时企业绩效呈现改进之面貌,但常规离职时无此效应;国有控股阻碍了企业绩效改进而内部董事则反之,且在总经理被迫离职情况下,前者负效应减弱而后者正效应增强;总经理是否为竞争者继任对企业绩效改进无显著影响,而选择外部继任对其有显著负面效应;总经理更换后的高管团队重组总体上不利于企业绩效改进,但受到继任类型的调节作用,在外部继任情形下消极影响尤为明显,而对竞争者继任则具有积极作用. 相似文献
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网络外部性下的企业R&D竞争与合作行为研究 总被引:1,自引:0,他引:1
本文将网络外部性函数引入D'Aspremont C和Jacquemin A(1988)的模型中,研究双寡头企业的R&D活动.每个企业首先确定自己的R&D投入,然后在产品市场上进行竞争.在R&D阶段有合作和竞争两种情况,在每种情况下讨论了网络外部性对企业R&D投入、最优溢出、企业利润和社会福利的影响.研究发现,网络外部性增强会导致企业R&D投入和企业R&D合作利润的增加,且企业的R&D行为有助于改善社会福利. 相似文献
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运用2000年1月4日至2008年12月31日上证综指每5分钟的高频金融数据,采用核估计量估计中国股市高频波动率序列,运用修正的已实现门阀多次幂变差估计中国股市高频波动率的跳跃序列,实证分析中国股市高频波动率跳跃的各种特征,并运用ACD模型、ACH模型以及扩展的ACH模型进一步分析中国股市高频波动率跳跃的持续期的特征.研究结果表明,中国股市高频波动率及其跳跃都具有集聚的特征,高频波动率发生显著跳跃的比例相当高,高频波动率跳跃的幅度、强度和跳跃幅度的分布都具有时变性,而跳跃对高频波动率的贡献却具有相对稳定性;在样本期,中国股市高频波动率跳跃表现出较强的正相关性,且跳跃的持续期存在较强的长记忆性和周日历效应. 相似文献