摘要
在传统灰色GM(1,1)预测模型的基础上,首先对预测模型的初始值进行优化,然后采用马尔科夫链对优化后的模型进一步改进,建立了一种基于初始值优化的灰色马尔科夫预测模型,优化后的模型可以有效提升预测的准确性和稳定性.最后通过对宁德市旅游入境总人数的实例分析,验证了新模型的有效性,拓展了灰色预测模型的应用范围,为宁德市旅游事业的发展提供了一种新方法和新思路.
On the basis of the traditional grey GM( 1,1) prediction model,the initial value of the forecasting model was optimized,and then Markov chain was used to further improve the optimized model. Based on the initial value optimization,a grey Markov prediction model was established. Consequently the optimized model can effectively improve the accuracy and stability of the prediction. Finally in order to provide a new method and new idea for the development of tourism in Ningde,by analyzing the instance of the total number of Ningde city tourism entry,the validity of the new model is verified,meanwhile the application range of the grey prediction model is expanded.
引文
[1]王哲河,林越,张侨.Dijkstra算法在三亚旅游线路规划中的应用[J].琼州学院学报,2015,22(5):98-102.
[2]邓聚龙.灰理论基础[M].武汉:华中科技大学出版社,2002.
[3]刘思峰.灰色系统理论及其应用[M].7版.北京:科学出版社,2014.
[4]何俊,张玉灵.灰色预测模型的优化及应用[J].数学的实践与认识,2013,43(6):86-89.
[5]李克昭,李志伟,赵磊杰.马尔科夫理论的优化灰色模型预测建模[J].测绘科学,2016,41(8):1-5.
[6]王晓霞,祖培福,潘伟.牡丹江旅游人数预测研究的灰色动态数学模型[J].数学的实践与认识,2013,43(16):35-39.
[7]王璐,沙秀艳,薛颖.改进的GM(1,1)灰色预测模型及其应用[J].统计与决策,2016(10):74-77.
[8]何俊,张玉灵,刘银萍.基于灰色马尔科夫链的河南省旅游总收入预测[J].河南科学,2016,44(4):686-690.
[9]曾冬玲,喻科,赵清俊.基于灰色理论和马尔科夫修正的旅游需求预测——以云南省旅游市场为例[J].重庆工商大学学报(自然科学版),2016,33(4):58-68.
[10]刘慧敏,樊锁海.基于灰色系统理论的广州市旅游接待人数预测与分析[J].统计与决策,2010(17):64-66.
[11]李沛杰,张兴明,沈建良.灰色-隐马尔科夫下的信任路径筛选及聚合算法[J].小型微型计算机系统,2015,36(5):964-970.