全国5A级景区旅游路线规划问题研究

以自驾游为代表的旅游活动正在成为全球经济发展的重要动力之一,如何优化旅游路线以便为广大旅客提供更加舒适的自驾体验日益重要.主要研究全国5A景区旅游路线规划问题.首先分析当前城市居民的假期次数与时间要求,综合时间、路程和费用最优建立综合模型.然后收集景区、路况和费用数据基于遗传算法和Matlab2011a编程求解,得出全国多个城市出发的全国5A景区旅游路线规划图和详细行程.最后根据研究结果,提出建立旅游可持续发展评价指标体系,对旅游爱好者提供旅游建议,对旅游相关部门给出政策建议.     

基于遗传算法与蚁群算法的最佳旅游路线设计

针对旅行商组合优化问题,综合考虑出行时间、所需费用及旅游体验等因素,运用遗传算法和蚁群算法,采用Matlab软件制定一个全面的旅游计划.以游历全国201个5A级景区为例,根据用户的实际需求计算获得较为详细和恰当的旅游方案,合理安排包括出行方式、行车时间、行车里程和目标景区等方面的最佳旅游路线方案.     

旅游路线规划问题

对旅游爱好者游遍201个5A级景点的旅行方案进行研究.首先,建立以总的旅游时间达到最小的0-1数学规划模型,利用枚举法将景点划分成若干类,并将其视为TSP问题,用蚁群算法得出常住地为西安的旅游者游遍所有景点至少需要的时间和最优路线;其次,考虑了费用最小,旅游体验最好的因素,建立多目标规划模型,通过模糊隶属度函数的构造,将多目标规划模型进行线性加权组合转化为单目标规划问题进行求解.还引入TOPSIS模型,对常住地在北京的自驾游爱好者提供了一个简要版旅游计划.最后,用因子分析和灰关联分析相结合的方法遴选了相应5A级和4A级旅游景区,并给出该旅游爱好者合理的十年旅游规划.     

基于多目标规划和智能优化算法的旅游线路设计研究

针对设计耗时最短,花费最少以及体验指数最高的合理的旅游路线进行研究.首先,以耗时最少为目标,构建改进的TSP路线规划模型,同时将正态分布随机数(ND)与遗传算法(GA)相结合,提出ND-GA算法,并且利用所提算法对模型进行求解,得到出行的路线及详细行程.其次,综合考虑到旅游花费最低以及旅游指数最高,构建最优旅游线路设计的多目标规划模型.考虑到未来10年的交通费、住宿费以及餐饮费等会随着时间变化,因此,基于组合预测模型对各项费用进行了预测,最终得到基于多目标动态优化的10年旅游路线设计模型.最后,详细的分析了模型的结果,并对参数做了灵敏度分析.     

关于旅游路线规划问题的建模与研究

近年来,随着我国国民经济的快速发展和人们生活水平的提升,自驾游在全国旅游业中的比重逐渐增大.以旅游爱好者常住地——西安市为例,采用分步优化、聚类分析、蚁群优化算法、0-1规划、层次分析等数学方法,使得游览全国201个5A级景点的时间最短、费用最低、旅游体验度最优.     

旅游路线动态规划问题研究——以西安市出发为例

研究旅游路线动态规划问题,选取景区和所在市之间交通数据,构建飞机、高铁和自驾联合的复杂交通线路网络,建立旅游路线规划综合模型,以西安市出发为算例,利用Matlab编程并基于遗传算法求解,最终得出该旅游者十年内遍游全国201个5A级景区的最优旅游路线规划图.结论表明,通过获取的数据、建立的模型和算法可以有效解决多交通方式联动的自驾游路线规划,为更多的自驾游爱好者提供路线选择和个性化推荐.     

F-AMST模型构建及其在旅游集聚区划分中的应用

本文基于自适应最小生成树方法和模糊分级评判方法构建了由三层次组成的模糊-自适应最小生成树(F-AMST)模型,并将河北省山区全部A级景区节点划分为8个旅游集聚区。研究发现:(1)景区节点间时空距离与其模糊集聚程度呈强负相关性,旅游集聚区的模糊集聚程度大小:凝聚型随机型均匀型。(2)景区节点等级系统优劣与其模糊集聚程度存在弱正相关性,多数具有5A级景区节点的旅游集聚区在加入景区节点等级因素后,其模糊集聚程度的位序普遍有所提高。(3)景区节点间时空距离与其等级系统优劣并未明显相关性。     

基于灰色关联度分析的广西区域旅游协调发展研究

为促进区域旅游协调发展,结合全域旅游的概念特征,从旅游基础、经济社会、环境生态、文体卫生等4个方面选取了2014-2018年27个影响旅游业发展的主要因素构建广西区域旅游协调发展评价指标体系,基于灰色关联度分析进行相关研究.结果显示:旅游总消费占GDP的比重、国内游客人数、A级旅游景区数和第三产业贡献率等指标与广西区域旅游发展的关联度较高,广西区域旅游发展与各因子的灰色关联度排序为旅游基础经济社会文体卫生环境生态,表明旅游产业作为广西国民经济的主导产业和支柱产业具有重要的优势地位,必须在强化各支撑保障因素的基础上充分发挥旅游产业的引领融合作用,重点拓展国内旅游市场;广西区域旅游协调发展策略主要有省域层面的全域景区发展型、市域层面的特色资源驱动型、县域层面的产业深度融合型及"大南宁国际都市旅游圈"的城市全域辐射型和"大桂林山水文化旅游圈"的龙头景区带动型.     

具有多类评价信息的旅游景区游客满意度评价方法

针对多类型评价信息的旅游景区游客满意度评价问题,提出一种基于相对贴近度的评价方法。首先,建立旅游景区旅客满意度评价指标体系;其次,采用实数、区间数、三角模糊数、直觉模糊语言变量和直觉模糊数5种不同类型表示旅游进去的评价信息,提出各个旅游景区关于正理想解的相对贴近度计算方法;据此确定旅游景区满意度排序,并具体给出其评价步骤;最后,通过实例说明该方法的有效性和合理性。     

基于遗传算法的公交智能调度与优化——以南岳衡山景区为例

南岳衡山(以下简称南岳)以“外秀于林,内秀于文”驰名中外,作为风景名胜区近几年游客人数不断攀升。本文利用遗传算法对景区内公交线路的调度模型进行求解。首先,根据景区现有的公共交通资源和旅客的出行规律,构建了以旅游公交营运成本、游客等待成本和游客流失成本三方面优化目标的模型;然后,使用线性加权方法实现对旅客与营运公司双方利益兼顾,进一步完善模型;最后,利用Matlab对实地调研数据的车辆调度方案求解。表明该模型改善了南岳景区旅游交通,满足游客的合理需求,提升了旅游公司经营策略,真正成为“寿岳独秀”的知名品牌。     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].     

Laminations minimales résiduellement à 2 bouts

Résumé On décrit toutes les feuilles des laminations minimales dont un ensemble résiduel de feuilles ont 2 bouts.      

Best approximation by downward sets with applications

We develop a theory of downward sets for a class of normed ordered spaces. We study best approximation in a normed ordered space X by elements of downward sets, and give necessary and sufficient conditions for any element of best approximation by a closed downward subset of X. We also characterize strictly downward subsets of X, and prove that a downward subset of X is strictly downward if and only if each its boundary point is Chebyshev. The results obtained are used for examination of some Chebyshev pairs （W,x）, where ∈ X and W is a closed downward subset of X     

Boundedness of multilinear operators on weighted herz type spaces

In this paper, the author establishes the boundedness of multilinear operators on weighted Herz spaces and Herz-type Hardy spaces. The author also obtains their weak estimates on endpoints. As a special case, the conclusions may lead to the weighted estimates for multilinear Calderon-Zygmund operators.     

THE EXACT CONVERGENCE RATE AT ZERO OF LAGRANGE INTERPOLATION POLYNOMIAL TO |x|α

In this paper we present a generalized quantitative version of a result due to M. Revers concerning the exact convergence rate at zero of Lagrange interpolation polynomial to f(x) = |x|α with on equally spaced nodes in [-1, 1].