摘要
木文将人流量转化为关于经过各商区人次数的函数,建立"点阵模型"计算各商区人流量分布。随后引入"购买力"的概念,将人流量及购物欲望的影响结合在一起,通过修改点阵模型的点权值求出各商区的购买力。而运用相关的数学知识将MS的规模及三个基本要求量化并引入"均衡度"来刻画均衡问题。继而以商业上赢利为目标,以满足观众的购物需求、各商区MS的个数均衡为约束建立混合整数规划模型,利用计算机搜索求解。
In this thesis, we firstly utilize a function concerning the frequency people pass each commercial zone to reflect the regulation of people flowing. Secondly, we establish a Point Matrix Model to circulate the result. Thirdly, we introduce the concept of Purchasing Power in so as to cover both factors of the flowing quantity of people and their purchasing desire. Through modifying the percentage value of the model, the purchasing ability of each commercial zone becomes clear. Fourthly, relevant maths methods are adopted to concrete the scale of MS and to fulfill the three basic requirements. In this step, Balance Extent is created to depict the balance the title referred to. Furthermore, we target on commercial benefits to establish a Compound Integral Programming Model based on the limitations of purchasing needs of spectators and the balance. Subsequently, another result is got via computer search method.
出处
《工程数学学报》
CSCD
北大核心
2004年第B12期49-56,共8页
Chinese Journal of Engineering Mathematics
关键词
点阵模型
混合整数规划
均衡度
point matrix model
compound integral programming model
balance extent