文档介绍：本学期学****了最优化这门课,觉得受益匪浅,也让我想起了06年参加数学建模时的题目,现在学****的层面加深,从新考虑的角度也不同了,现在再从新做一遍这个题目,也有了新的改进。本文主要讨论出版社的资源配置问题,需要针对分社提交的生产计划申请书、人力资源情况以及市场信息分析,将总量一定的书号数合理地分配给各个分社,使出版社获得最好的经济效益。
该问题即为资源优化配置问题,以出版社的经济效益为目标函数,以实际的资源情况为约束条件,合理分配到各分社的书号数量。解题关键就是找到书号数与销售量的关系,考虑到该出版社是教材出版社,那么学校的招生人数扩招情况对出版社的销售量会产生很大影响,所以本模型在确定可变因子时把样本的各个年级教材使用情况同各年扩招增长情况以及满意度情况联系在一起综合考虑的。首先我们考虑历年销售增长率,扩招情况以及满意度确定出可变因子。然后计算出历年计划销售量和实际销售量的准确度,以准确度和申请书号数关系为原则来约束06年实际能分得书号数,以06年总的销售额为目标函数,通过人力资源,市场需求信息及各个分社提交的申请计划书号数,求出最优配置方案。本问题以是由大量数据作依托,这样统计学在解决这种问题中起的作用格外大。由于各影响因素的影响力度不同,我们在大量数据分析的基础上,简化模型,并用加权系数法来调节他们的影响力度。加权为求满意度问题提供了便利,使我们更容易去求出读者(学生)的满意度,通过对数据的分析,我们很容易看出书号数的配置与人力资源,满意度,市场占有率,以往的销售量有密切关系,这些我们都可以从数据中得出,它们在书号分配中所占的比重也能一目了然。
另外,对于分社的具体书号配置,也可以参考总社的优化配置模型,来优化分社的资源优化配置,以达到良好的经济效益和获得长远的发展。
关键词:销售额市场占有率高校扩招率加权满意度线性规划
Abstract
This paper mainly discusses the issue of resource allocation Press,Necessary for the production plan submitted to the branch application, human resources and market information analysis, the total amount of a certain number of rational allocation of ISBN to each branch, so that publishers get the best value for money.
The problem is the question optimize the allocation of resources to the economic benefits of publishing house as an objective function based on the actual availability of resources for the constraint condition, reasonable assigned to each branch of the ISBN number. ISBN critical problem-solving is to find the relationship between the number of sales, taking into account of the Press are publishers of teaching materials, then the school enrollment expansion on publishing houses will have a significant impact on sales, so this model in determining the variable factor when the sample material the use of all grade levels with the expansion in the growth and satisfaction linked to prehensive consideration. First of all, we consider the calendar year sales growth, expansion as well as satisfaction to determine the variable factor. Then calculate the calendar year sales