Research On Logistics Node Location With Curved Demands Under Competitive Environment

In China,transportation has played an important role in economy and society.The rapid development of transportation can bring positive influence on people's life.Recently,the amount of traffic line have been increased following with the raise of related engineering projects.However,the construction of traffic lines have often been taken much care than maintenance.While with the development of transportation lines in recent years,line maintenance work has gradually begun to be valued.We choose the road maintenance work as the background in the thesis,and the demand on the road is usually selected among many maintenance companies.Therefore,when there are similar maintenance nodes already in the market,a new maintenance company needs to consider how to make the location decision in order to obtain greater profits in the competition.This reasonable location decision not only enable maintenance companies to obtain greater benefits,but also can ensure the efficient and orderly resource allocation of road maintenance projects.For the operation on the traffic line,the demand does not concentrate on a certain point,but distributed along the traffic line continuously.In other words,the demand is a function of a certain curve.Therefore,in the location research field,such problems are defined as the problem of location with curved demand.The research on the logistics nodes location selection with curved demand under competitive environment is an extension of both the competitive location field and the location of curved demand.In this thesis,we first set the problem and choose the market followers as the research object.Combining the competitive location theory and the curved demand characteristics to construct the utility function,and uses the line integral of the demand density to represent the curved demand.Finally constructs the functional model with the goal of maximizing the profit of the new maintenance node.Based on the analysis of the nature of the model,a differential method is proposed to solve the problem in the solution process.The optimal solution expression is derived and the optimal facility location can be obtained through iteration.Finally,the validity of the method is proved with an instance.The optimal logistics node position and optimal profit in the instance are obtained by using Matlab 2014a.By comparing with the initial solution,the model and design algorithm established in this thesis are verified,feasibility.At the same time,different algorithms are designed to compare and analyze the location effects based on different scenarios.The significance of this thesis and the value of the model are proved to some extent.At the same time,the problem of location selection of curved demand logistics nodes in competitive environment also be solved and we provided some solutions and reference.The thesis contains 20 figures,10 charts and 80 references.