出版社书号分配的优化问题  

Optimization Problem of Press ISBN Distribution

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作  者:王佳秋[1] 张亚平[1] 多佳[1] 

机构地区:[1]黑龙江科技学院数力系,哈尔滨150027

出  处:《数学的实践与认识》2008年第5期76-82,共7页Mathematics in Practice and Theory

基  金:黑龙江省教育厅科学技术研究项目(11531334);黑龙江科技学院引进人才科研启动基金

摘  要:决策问题是企业活动的重要组成,而决策往往是在市场信息不完备、企业自身数据收集和积累不足的情况下做出的.如何合理地进行决策,以达到优化资源配置的目的,是企业领导需解决的首要问题.出版社书号分配便是这样的一个例子.通过合理的假设,运用最优化原理和方法,确定目标函数为出版社的总收益,同时利用Excel对给出的调查问卷数据进行筛选处理,筛选出出版社编号为P 115的数据信息,即A出版社的信息,删除掉一些对结果影响不太大的数据列,留下包括课程名称在内的主要数字信息以供Matlab编程使用(课程名称里的汉字项以0替换,这项操作也在Excel里实现),然后分别对五年数据的四项满意指标进行处理,确定出对应课程满意度的评价准则.并对其他数据进行统计分析,依次确定出其他各个准则的约束条件,如准确度、人力资源限制等.其中根据专家评判给出目标权值,建立模糊综合评判模型,再由本题中书号和销售量的比例关系计算出2006年的每门课程书号所包含的成本与利润总和,由得出的结果设定优化模型的约束条件.最后利用M atlab软件处理数据,给出了较为合理的最优化模型的运行结果.总社根据这个结果对九个分社进行资源分配,以期达到最好的经济效益.本模型具有良好的可行性和通用性.并可推广到其他类似问题的求解中去.The decision is an important part of business activities. And decision-making is used to be made in the condition of incomplete market information and lack of data that are collected and accumulated by their enterprise. It is one of the most important things to be solved that how to decide correctly in order to optimize the allocation of resources, such as press ISBN distribution. The paper takes total income of the press as the objective function based on reasonable assumptions and optimization theory. And it gives the information which number is No. P115 by using data from the questionnaire by Excel and the information tells us that information of Publisher A including the course are used by Matlab software after deleting some data that shows little impact on the results (This operation also is achieved in Excel that Chinese item in the name of course is replaced by zero). And then we can decide the criterion of evaluation of satisfaction for course through dealing with four target of satisfaction for five years. And it decides restricted conditions of other various rules by analyzing other data, such as accuracy, human resource constraints. It gives the goal power value according to expert judgment, establishes a fuzzy comprehensive evaluation model, and computes the sum of cost and profit included ISBN of each course in 2006 form the ratio between sales and ISBN. It hypothesizes restraint conditions according to the result. Finally, a more reasonab.le result of the optimal problem is got by data processing in Matlab. According to the results, Main publishing company distributes resources to nine branches, to achieve the best economic efficiency. The feasibility and utility of the model is good. Method of solving the problem could be extended to other similar situations.

关 键 词:最优化 满意度 准确度 模糊评价 线性规划 

分 类 号:G231-F[文化科学]

 

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