A Novel Insertion Solution for the Travelling Salesman Problem

The studypresents theHalfMax InsertionHeuristic (HMIH) as a novel approach to solving theTravelling SalesmanProblem (TSP). The goal is to outperform existing techniques such as the Farthest Insertion Heuristic (FIH) andNearest Neighbour Heuristic (NNH). The paper discusses the limitations of current construction tour heuristics,focusing particularly on the significant margin of error in FIH. It then proposes HMIH as an alternative thatminimizes the increase in tour distance and includes more nodes. HMIH improves tour quality by starting withan initial tour consisting of a ‘minimum’ polygon and iteratively adding nodes using our novel Half Max routine.The paper thoroughly examines and compares HMIH with FIH and NNH via rigorous testing on standard TSPbenchmarks. The results indicate that HMIH consistently delivers superior performance, particularly with respectto tour cost and computational efficiency. HMIH’s tours were sometimes 16% shorter than those generated by FIHand NNH, showcasing its potential and value as a novel benchmark for TSP solutions. The study used statisticalmethods, including Friedman’s Non-parametric Test, to validate the performance of HMIH over FIH and NNH.This guarantees that the identified advantages are statistically significant and consistent in various situations. Thiscomprehensive analysis emphasizes the reliability and efficiency of the heuristic, making a compelling case for itsuse in solving TSP issues. The research shows that, in general, HMIH fared better than FIH in all cases studied,except for a few instances (pr439, eil51, and eil101) where FIH either performed equally or slightly better thanHMIH. HMIH’s efficiency is shown by its improvements in error percentage (δ) and goodness values (g) comparedto FIH and NNH. In the att48 instance, HMIH had an error rate of 6.3%, whereas FIH had 14.6% and NNH had20.9%, indicating that HMIH was closer to the optimal solution. HMIH consistently showed superior performanceacross many benchmarks, with lower percentage error and higher goodness values, suggesting a closer match tothe optimal tour costs. This study substantially contributes to combinatorial optimization by enhancing currentinsertion algorithms and presenting a more efficient solution for the Travelling Salesman Problem. It also createsnew possibilities for progress in heuristic design and optimization methodologies.

Implementation Status and Development Strategies of Study Tour in Primary Schools in Nanchang City : A Case Study of L Primary School

In recent years,with the support and promotion of relevant policies such as the Opinions on Promoting Study Tour for Primary and Secondary School Students jointly issued by the Ministry of Education and 11 other departments,a wave of study tour has been sparked nationwide from individual pilot projects to gradual promotion.In this paper,students and teachers from grades 4 to 6 of L Primary School in Nanchang City,Jiangxi Province were selected as the survey objects.Combining the survey questionnaire,the current situation of conducting study tour in the primary school was sorted out and analyzed in depth from several aspects such as study tour cognition,study tour participation,study tour implementation,etc.Based on the survey results and relevant research,the current problems in conducting study tours in primary schools were summarized,and targeted improvement measures were proposed,in order to promote the healthy development of study tours in primary schools.

Curriculum Ideological and Political Teaching and Practice of Study Tour Course Design in Higher Vocational Colleges: A Case Study of Qingdao Preschool Education College

Curriculum ideology and politics are critical for colleges and universities to fulfill theirfundamental mission of fostering moral and intellectual development. Within this framework, professionalcourses serve as the primary vehicles for integrating ideological and political education. Specifically, inthe field of study tours, the Study Tour Course Design emerges as a pivotal component for actualizingthe educational objectives of such programs. To construct a robust ideological and political curriculum,it is essential to devise a comprehensive system that aligns with professional teaching standards, industrybenchmarks, and vocational skill requirements. This involves a thorough exploration of ideologicaland political elements within the curriculum, ensuring their seamless integration throughout the coursedevelopment process.

High-quality Development of the Pearl River Night Tour in the Context of Deep Integration of Culture and Tourism

Urban night tourism is a new form of urban tourism development and an important driving force for the prosperity of urban night economy.As the most prestigious business card among many night tour projects in Guangzhou,the Pearl River water night tour has contributed to the development of Guangzhou s night economy,which cannot be underestimated.However,in the process of rapid development,there are also problems such as diversified operators,insufficient integration of intangible cultural elements,excessive commercial attributes,issues of tourism facilities and service facilities.Under the new stage of integrated development of culture and tourism,how to use mutual promotion of culture and tourism in the Pearl River night tour to seek innovative paths for high-quality development in the future is the main problem expected to be solved in this paper.Therefore,based on the perspective of culture and tourism integration,this paper analyzes the general situation and development status of the Pearl River night tour,and proposes five development strategies:the overall planning of culture and tourism integration,the deep integration of intangible cultural elements,the balance of commercial attributes and tourism attributes,the high integration of culture,business,tourism and education,and the creation of tourism atmosphere,in order to provide inspiration for the healthy,orderly and high-quality development of the Pearl River night tour.

Context-Aware Tour Planning System Based on Satisfaction Model

With the development of communication and ubiquitous computing technologies, context-aware services, which acquire contextual information of users and environment, have become critical applications providing customization in mobile commerce. Meanwhile, tourism has attracted increasing attention as a high value-added service and a hot academic topic. However, the research on how to provide tour services based on context-aware services is in fact still at an early stage, limited to concept elaboration, service framework discussion, prototype system development etc. In this paper, we summarized the previous researches on context-aware services to establish the research foundation, put forward a way of analyzing a tour planning problem with a modified model of Traveling Salesman Problem （TSP） and Vehicle Routing Problem （VRP）, and we applied an innovated Resource Constrain Project Scheduling Problem （RCPSP） mathematical model to solve the tour planning problem based on context information. The simulation under branch and bound algoritban evaluated the validity of our solution.

A Support System of Sightseeing Tour Planning Using Public Transportation in Japanese Rural Areas

Though most of tourists tend to visit multiple sightseeing spots during their sightseeing tours,it is difficult for them to efficiently acquire information necessary for their sightseeing tour planning.Additionally,in rural area,many people hope to use public transportation which has not developed as much as in urban areas.The present study aims to design and develop a support system of sightseeing tour planning in Japanese rural areas,adopting the information related to real timetables of public transportation on both the sea and the ground,and genetic algorism(GA).The system was developed integrating moving route recommendation system,web-geographic information systems(Web-GIS),and augmented reality(AR)application.Furthermore,Kagawa Prefecture in the western part was selected as the operation target area.The operation of the system was conducted for two months,targeting those inside and outside the operation target area,and web questionnaire surveys were conducted.From the evaluation results based on the web questionnaire surveys,the usefulness of all the original functions as well as of the entire system was analyzed.Additionally,though some users could not easily use the system,it is expected that they will get used to utilizing it by their continuous use.

BMW5系Touring

如果你喜欢的是BMW这个品牌，又不得不考虑行李舱的大小能够满足用车需要，那么宝马5系的Turing系列车型会是不错的选择。当然与竞争对手．倒如奔驰的E级旅行车、A6旅行车或者VOLVO V70相比．Touring的行李舱似乎没有那么执着于功能，但在保持品牌风格上却丝毫没有妥协，这也是BMW的风格。

ESSA： An Efficient and Secure Splitting Algorithm for Distributed Storage Systems

The security of critical data is an important issue for distributed storage system design,especially for long-term storage.ESSA (An Efficient and Secure Splitting Algorithm for Distributed Storage Systems) is presented,which takes advantage of a two level information dispersal scheme to strengthen the security of data.In ESSA,the approach of knight’s tour problem,which is NP-Complete,is introduced to scramble data at the first level,and a split cube is used to split scrambled data at the second level.Thus,it is very difficult for the malicious user to get information because the task of reconstructing the original data needs more computation than they can tolerate.We prove that the security of ESSA is better than encryption algorithm and not inferior to erasure codes and secret sharing.Experimental results show that distributed storage systems exploiting ESSA has greater efficiency than that exploiting keyed encryption,erasure codes and secret sharing.

Lesson 16:Touring Suzhou

会话 Dialogue 乔治:小李,我们的船是沿着运河走吧? Qiaozhi:Xiao Li,women de chuan shi yan zhe yunhe zou ha? George:Miss Li,our boat is sailing along the canal, isn’t it? 小李:是的,马上就能看到苏州古城了。 Xiao Li:Shi de,mashang jiu neng kan dao

Lesson 11: Touring Beijing by Bicycle

Conversation家明:咱们租自行车游览北京好吗?Jiāmíng: Zánmen zū zìxíngchē yóulǒn Běijīng hǒo ma?Jiaming: How about renting a bicycle to look around Beijing?吉瑞:不错,我听说这里很多人是骑自行车上班而不是开车,我认为这样很棒。

完美之旅 BMW 328 MILLE MIGLIA TOURING COUPE

有一种情感,沉淀很久,穿越了70年的岁月,依然激情不减。有一种热爱,总是追随,不去管旁人的目光与品评,只是深陷其中自我陶醉。有一种回报,微乎其微,却在深爱的人心中引起强烈共鸣。

Daimler Chrysler 300C Touring SRT8变身坦克——克莱斯勒300C Touring SRT8

素有“坦克”之称的克莱斯勒300C，已经成为克莱斯勒在全球最得意的作品之一。为了迎合更多人的胃口，300C在本就雄伟的车身后又增加了一个极具实用性的尾部，这样的变身究竟是优是劣？

High-quality Development Path of Night Tourism in Guangzhou:A Case Study of Firefly Night Tour

Night tourism often involves a large number of lighting facilities,which consume a large amount of energy.Therefore,one of the unique low energy consumption natural ecological tourism activities—firefly night tour has attracted attention and become an important breakthrough point for night tourism in tourist destinations.In this paper,Guangzhou firefly night tour project is taken as the research object.Based on the comprehensive economic,environmental,and socio-cultural benefits brought by the development of firefly night tour,the resources distribution,current development status,and existing problems of firefly night tour in Guangzhou are analyzed,and its high-quality development paths are proposed from three levels:government,industry,and tourist.The aim is to explore a new model for the economic development of Guangzhou night tour,boosting the transformation and upgrading of the night tourism economy,while also providing reference ideas and value for the development of night tourism economy in other tourist destinations.

Research on the Exploitation of Study Tour Resources in Mount Taishan

Mount Taishan in Taian Prefecture of Shandong Province has rich study tour resources,but its development efforts are extremely disproportionate to its status as one of the five unique mountains.Through analyzing study tour in the context of its development and study tour resources in Mount Taishan,and based on the in-depth analysis of the existing problems,the proposals for the development of resources were put forward:highlight the main line and enrich the study activities to create study bases around Mount Taishan;improve the study services through the research and development of special products;expand the publicity to promote the educational products and research products.

Accounting for Heterogeneity in Stop Frequency Models of Work Tours Using Latent Class Poisson Models

Stop frequency models, as one of the elements of activity based models, represent an important part of travel behavior. Unobserved heterogeneity across the travelers should be taken into consideration to prevent biasedness and inconsistency in the estimated parameters in the stop frequency models. Additionally, previous studies on the stop frequency have mostly been done in larger metropolitan areas and less attention has been paid to the areas with less population. This study addresses these gaps by using 2012 travel data from a medium sized U.S. urban area using the work tour for the case study. Stop in the work tour were classified into three groups of outbound leg, work based subtour, and inbound leg of the commutes. Latent Class Poisson Regression Models were used to analyze the data. The results indicate the presence of heterogeneity across the commuters. Using latent class models significantly improves the predictive power of the models compared to regular one class Poisson regression models. In contrast to one class Poisson models, gender becomes insignificant in predicting the number of tours when unobserved heterogeneity is accounted for. The commuters are associated with increased stops on their work based subtour when the employment density of service-related occupations increases in their work zone, but employment density of retail employment does not significantly contribute to the stop making likelihood of the commuters. Additionally, an increase in the number of work tours was associated with fewer stops on the inbound leg of the commute. The results of this study suggest the consideration of unobserved heterogeneity in the stop frequency models and help transportation agencies and policy makers make better inferences from such models.

Research on Innovation and Entrepreneurship Programme of College Students in China:Taking Wuming Cloud Project as a Case Study

The innovation and entrepreneurship of college students is a new type of education and research model that takes cultivating students’innovative spirit and ability as the primary value orientation and takes the particular group of college students and graduated college students as the central part of entrepreneurship.In order to comply with the national innovation-driven development strategy,colleges and universities also cultivate innovative talents in line with the talent market through innovation and entrepreneurship training.Under the vital innovation and entrepreneurship atmosphere in the country and universities,we fully understand the regional situation of Nanning and Wuming in Guangxi Province and put forward the“Wuming Cloud Project”.The Wuming Cloud Project aims to create a comprehensive international ethnic and cultural park that integrates Southeast Asian flavours,traditional architecture,and ethnic cultures and attracts tourists through diversified cultural experiences,convenient transportation services,and a variety of promotional tools,which will not only promote the tourism and economic development of Wuming but also bring tourists an immersive experience of Southeast Asian ethnic cultures.The Cultural Park is significant to Nanning in absorbing resources from various parties,displaying particular cultures,and promoting tourism and economic development.

Scottish Literary Heritage and National Identity:A Case Study of Boswell’s The Journal of a Tour to the Hebrides

For a long time,the history of“Scottish Literature”has been overshadowed by the concept of“British literature”,and thus Scottish literary heritage has been seen as“regional characteristics”.The Act of Union 1707 led to a growing concern for Scottish national identity.In The Journal of a Tour to the Hebrides,the famous Scottish-born biographer James Boswell chose to take advantage of Scottish literary heritage as a point of penetration to express his own Scottish national identity with Scotland in literature and Scottish literature.

The Exploitation of Agricultural Civilization Heritages of Minority Community in Guangxi——A Case Study of Longsheng Dragon Back Terrace

Having outlined evolution and tour value of Dragon Back Terraces in Longsheng County,Guilin,the author puts forward following proposals for tour development in policy-making:(1) With improving the villages of the Minority community,to set up ecological museums in which the cultures of Minority are preserved,the primitive local "live humanity heritages" are shown as the key display on the basis of typical agricultural complex ecological system;(2) To encourage the citizens of the community to participate in the tour industry development,including the participation both in the decision-making in tour planning and preservation of the terrace agricultural civilization heritages as well as the allocation of the income of the local tour industry;(3)To promote the mutual development of both folkways and sightseeing tour,to enhance the exploitation of the present natural scenic and historical landscapes through the making full advantages of the present tour market.The Dragon Back Terraces are characterized by the important tour values,including the rich and colorful natural landscapes,typical complex agricultural ecological system,and the combination of the Minority folkways and agricultural civilization.

TOUR及其改进模型在路径搜索中的应用研究

定性空间推理是近几年来空间关系推理的一个热点,TOUR模型就是一个很好的定性空间推理模型,它基于认知图,对空间信息进行合理描述,能够吸收新的信息和解决路径搜索问题,但TOUR模型本身也存在一些不足之处。文中介绍了基于空间关系路径搜索的TOUR模型,用TOUR模型解决了一个具体的路径搜索问题,根据具体的应用指出了TOUR模型的不足,对TOUR模型进行了改进,并提出了改进后的算法,最后分析了对TOUR模型改进后的主要优势。