机场出租车问题的数学模型

针对2019年全国大学生数学建模竞赛的C题——机场的出租车问题,首先介绍了问题的实际背景和问题的提法;然后根据实际问题分别建立了机场出租车司机的选择模型、上车点的设置模型和短途载客返回出租车的优先方案模型,并给出了模型的求解结果;最后对竞赛论文的总体情况做了点评分析.     

城市交通管理中的出租车规划2

基于蒙特卡洛模拟方法建立了环境容量限制下的居民出行总量动力学模型,使用模糊推理方法预测出租车对出行总量的分担率,在此基础上求得了该城市的出租车最佳数量.根据基于激励约束机制的出租车定价模型,结合司机和乘客的共同利益,给出了油价上涨后的调价方案①将起步价由目前的8元上调到8.5元;②将起租基价公里数由现在的3公里降低到2.75公里;③将每公里单价由1.8元上升到2元.最后,对各模型的进一步改善进行了讨论.     

城市交通管理中的出租车规划模型

最佳数量的确定和价格的制定是城市出租车规划中的两个核心问题.对影响出行强度的市区人口和建成区面积分析建立了出行总量预测模型,再通过分析出租车最佳数量与出租车运营里程的关系,得出出租车最佳数量的预测模型.在出租车最佳数量模型的基础上,分析出租车数量的差异和差异产生的原因,给出了出租车定价判断模型,为出租车定价机制的调整指明了方向.最后以长沙市为例进行了实证分析.     

互联网专车服务对出租车行业垄断的影响

通过数学建模方法可知,由于出租车公司和政府部门追求垄断利润,出租车司机和消费者的福利减少,因此,对消费者和司机来说,出租车行业垄断确实是一种伤害.互联网专车服务以低廉的价格和优质的服务,是打破出租车行业垄断的有力工具.从模型分析揭示的结果可知:传统的出租车行业必须对司机、消费者、公司和政府间的利润分配制度进行深层次的改革.只有这样,才能建立一个和谐的出租车服务体系.     

影响西安市燃气出租车发展变量的统计分析

燃气汽车规模化发展是解决城市环境污染的一个主要途径.以西安市燃气出租车发展问卷调查结果为依据,利用因子分析法对影响燃气出租车发展的变量进行分类.总结出影响燃气出租车发展的八个重要指标,覆涵了政府、加气站、司机个人等方面.     

平台合作模式对出租车公司利润的影响研究

基于改进的Salop环形城市模型, 研究了专车公司参与运营的多寡头出租车行业中, 出租车公司为改善利润水平, 可采取的两种合作模式, 即共享需求信息的共享信息模式和共同推出概率性服务的联合行动模式, 并进行对比分析。基于专车公司的在线平台, 采用共享信息模式可提升出租车公司利润水平, 条件是支付一定的平台使用费;采用联合行动模式则一定会提升出租车公司的利润。将两种平台合作模式进行对比分析, 发现当出租车公司有较高的相对运营效益时, 合作程度更深的联合行动模式能给公司带来更高的利润。     

双排队系统下大型超市运营效率的优化研究

对实际中存在“快速通道”的大型超市排队系统的运营效率进行优化,基于M/M/1排队模型,以顾客排队等待时间为目标函数,证明了存在“快速通道”的大型超市的双排队系统要优于单排队系统,并得到了双排队系统下各自服务台的最优配置数量。在此基础上,进一步给出了求得双排队系统下的最优商品数量分界点的方法。最后,通过调研数据的结果分析说明了研究的结论。研究结果对银行、收费站、医院等有着极大的启示意义。     

繁题简解 推广应用

<正>问题有甲、乙两组学生,想从学校出发去距学校48km的博物馆参观.租来的两辆出租车中有一辆出现故障,只能用一辆出租车.一辆车只能装一组学生.于是有人提议两组学生同时出发,乙组学生步行,甲组学生乘车到途中某地,下车步行.汽车返回接乙组学生,两组学生同时到达博物馆.假设学生上下车时间忽略不计,且汽车载人和空载时的速度分别为1.2km/min和1.8km/min,学生步行速度为0.2km/min.问所用的总时间是多少     

出租车司机社会贡献评价方法研究

出租车司机的社会贡献对于促进城市经济发展和社会进步具有重要的作用,评价出租车司机的社会贡献是激励出租车司机多做社会贡献的重要手段。为了评价出租车司机的社会贡献,本文提出了一种基于实际出租车运营数据的评价方法。本文设计了运营特性、重点区域、恶劣天气、大事件四个体现司机社会贡献的指标,以此构建了出租车司机社会贡献评价指标体系,进而选用了主观赋权法G1法和客观赋权法拉开档次法相结合的赋权方式对指标赋权,并选择四种评价信息集结方法建立了出租车司机社会贡献评价模型。最后,通过实际的出租车运营数据验证了本方法的可行性。本文为评价出租车司机社会贡献提供了一种研究思路和方法,并对政府政策的制定和企业策略的实施具有一定的启示。     

出租车交接班问题的数学模型

针对长春市出租车交接时段和居民出行高峰相互矛盾的现状,首先预测了不同天气条件下该市居民出行强度及市民出行对出租车的需求量,然后分析了出租车的最佳数量,最后建立了出租车交接地点模型,合理设置出租车交车地点,以缓解原来的交接方式在高峰期给交通所带来的压力.     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.