Advances in Automatic Control A principal component analysis and entropy value calculate method in SPSS for MDLAP model ZIPENG ZHANG School of Management science and Engineering, Shandong Normal University, Jinan, China, HONGGUO WANG School of information science and Engineering, Shandong Normal University, Jinan, China [email protected] Abstract:- In the analysis of MDLAP, this paper creatively combines the mathematical optimization model of cost-based multiple targets distribution location problem into a logistics location selection decision model with a multiple influencing factors, then put forward the method of data standardization processing, entropy weight, the method of principal component analysis and mathematical expressions to solve this model. Finally using SPSS statistical analysis software of the decision model are analyzed weighted linear regression method of influencing factors which based on entropy, similarity analysis system clustering method based on analysis of candidate services area, analysis effect comprehensive scoring factors of service area with factor analysis and principal component regression method , finally culminating in the service area of the 97 candidate in Shandong Province selected 10 service area of Weifang, Qingdao, Pingdu, Qufu as the optimal logistics center development area. Keywords:-LAP; SPSS; location selection model; principal component regression method 1 Introduction global optimal location of logistics distribution center location scheme lead to the not ideal effect. [1] With the rapid development of China's economy and Logistics location allocation problem (LAP) the logistics and distribution business is more and can be traced back to the 1909 issue of Weber, it more increasing, the distribution center plays a first treat the LAP from a mathematical point of pivotal role in the logistics system. its main targets view, after nearly a century of development, its is that according to different customer requirements theory and application have been greatly enriched, which in the region to make the goods timely, the logistics location allocation problem has accurately and effectively delivered to the hands of produced a network location model(DLAP), a single customers, so the location problem of logistics period model (SLAP), uncapacitated multi stage distribution center is the core of logistics system model(UMLAP), multi product model(MPLAP), research, and has practical value to solve the above dynamic model (DLAP), probability model (PLAP)and multi-objective location model problem. domestic and foreign scholars have [3-5] conducted a lot of research, put forward many (MOLAP) , Most of the people research the location models, a large number of studies show uncapacity-limit single stage model to solve LAP up that, the logistics distribution center location to the present. problem is a multi-objective optimization problem At present，the study of expressway service area with complex constraints, belonging to the NP- hard to expand the function of logistics mainly focus on problem, therefore, the scholars proposed tabu the feasibility analysis and management research. [6] search algorithm, genetic algorithm and ant colony Ceng Zhaogeng (2008) points out that the algorithm and so on, these algorithms have achieved expressway service area in China will develop to 3 certain results ,but these algorithms are heuristic directions: change from rest function to the leisure search algorithm, when the scale is large, the function, part of the service area will become the searching speed of these algorithms is slow and easy logistics node, the expressway service area will to fall into local optimum, thus unable to obtain the become an important platform for commerce and ISBN: 978-960-474-383-4 137 Advances in Automatic Control trade circulation. Zheng Zhiping[7] (2011), Miu through the comprehensive evaluation for each [8] Guosheng (2011) analysis of Fujian, Shanghai, factor using SPSS statistical analysis. Nanjing expressway service area development advantages of modern logistics base, pointed out that the highway development of logistics has great 2 Description of the LAP Problem potential and puts forward the preliminary plan to introduction of LAP in logistics industry. Liu Ying[9] (2009) made Shandong Province as the 2.1 Definition of the LAP problem research object, analyzing the third party logistics In the basic LAP problem, there is a highway service area LAP feasibility study based on the network in the range of a certain area (Shandong development of internal relations between the province), we can know that the position of the expressway service area and the development of candidate logistics center (M) and logistics demand modern logistics industry, and put forward the (N) has been fixed, in order to provide finished strategic plan and strategy of LAP in Shandong products for the logistics demand with low cost, expressway service area. storage, transfer, processing, management and other These literature above discussed the services, the system requirement selects one or a development direction of expressway service area, plurality of logistics center from the candidate the feasibility and countermeasures for the logistics nodes. For example, there are 97 development of logistics LAP, in general can be expressway service area of expressway in Shandong summarized as "should do", but there was no answer province within the scope of their size, location, about "how to do", relates to the future under the condition, location and other characteristics are guidance of the theory of logistics function known for each service area, LAP problem demand expansion did not form, especially there are no to determine the number and location of logistics depth research in the expressway service area center in the service area according to the specific logistics function network under the condition of decision method. development of key technologies. In summary, the highway logistics function has some academic research papers but mostly feasible research and 2.2 Mathematical model of the LAP problem management to develop its logistics function, the literature of LAP in expressway service area The LAP problem of logistics nodes in the service logistics node is rarely, only Ge Xijun[10] (2006) area of Shandong province logistics network is analysis and discusses comprehensive evaluation mainly select multiple service representative as the method of alternative nodes by using the principal logistics node from Shandong province expressway component in expressway service LAP problem, service area within the 97 alternatives which based and use the qualitative analysis and quantitative on the total demand for logistics and transport costs, analysis method to discuss the level , location and so as to achieve the lowest total cost of logistics and function of the logistics node service areas. Qin transport in this area. As everyone knows, the goods Lu[11] (2007) applies the method above to the of transport diversity have various kinds, different logistics service area of expressway node partition types of goods have different distribution costs due to achieve good results in the angel of regional to its weight, volume, timeliness and portable logistics and the expressway service area degree caused by transportation, and in the previous integration. research papers, the most models and methods The paper put the reality Shandong province which based on the LRP questions put the total expressway traffic network topological structure as transportation cost and volume as the target, and the a starting point, and put the LAP problem of types of transport goods to the impact of the logistics nodes in a certain region as the target, distribution cost is no related. Based on this creatively combines the mathematical optimization consideration, this paper put up with a LAP model of cost-based multiple targets distribution optimization model which is close to the reality of location problem into a logistics location selection the classification in the position of that the candidate decision model with a multiple influencing factors, logistics center and logistics demand nodes is then put forward the method of data standardization known, without considering the transportation processing, entropy weight, the method of principal storage fee, management fee and transport cost and component analysis and mathematical expressions freight traffic is proportional to the distance. to solve this model. Finally gain the perfect result The model is as follows： ISBN: 978-960-474-383-4 138 Advances in Automatic Control l ll l ll ll （ ） MinC = []CXDQCXDQ'' '' '' ''+ ''' ''' QQ''≤ '' 3 ∑∑ ∑∑∑ ij ijk ij ij ' '' jik ji ' '' ∑∑∑∑ ij ij ''''''''∈∈ ji ji ''''''''∈ i∈∈ Giii G j ∈ G jl Lk N i∈∈ Giii G j ∈ G jlL ll ++H''(F SW ' ' Q ' ) QQ' ''≤ ' ' （4） ∑ j jc j jc j （1） ∑∑∑∑ ji i j '' ''''''''∈ jG∈ j i∈∈ Giii G j ∈ G jlL The formula (3) show that the total freight Table1 Symbol and definition in the algorithm volume of goods from the originating station to Symbol Definition logistics center less than transit goods from the originating station to the terminal; the formula (4) ' '' Gi ={ ii / = 1, 2 m } sets of city of vehicle starting nodes represents that the total freight volume of goods G''={ ii '' / '' = 1, 2 m } sets of city of vehicle finishing nodes from the logistics center to finishing node less than i transit goods from the originating station to the ' '' Gj ={ jj / =++ m 1, m 2 mp + } expressway service areas terminal. 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