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校车安排问题
引用本文:张玉兵,吴霄翔,任意. 校车安排问题[J]. 高等数学研究, 2011, 14(1): 122-125
作者姓名:张玉兵  吴霄翔  任意
作者单位:西北工业大学力学与土木建筑学院,陕西,西安,710129
摘    要:探讨如何安排校车运行使得教师和工作人员尽量满意的问题.首先建立动态规划模型和选址规划模型,求出合理站点位置及其总距离.然后用归一法定义满意度与距离的函数关系,考虑各区域人数,建立选址规划模型.得到合理站点位置和总满意度.之后建立双目标非线性规划模型,利用量纲分析法给出权重,以此求出合理乘车位置和满意度.最后对问题进行推...

关 键 词:归一法  动态规划法  双目标非线性规划模型  量纲分析法

On the Arrangements of University Buses
MANG Yu-bing,WU Xiao-xiang,REN Yi. On the Arrangements of University Buses[J]. Studies In College Mathematics, 2011, 14(1): 122-125
Authors:MANG Yu-bing  WU Xiao-xiang  REN Yi
Affiliation:(School of Mechanics and Civil. & Architecture, Northwestern Polytechnical University, Xi'an 710129, PRC)
Abstract:This paper discusses how to arrange university buses efficiently to satisfy employees. By creating dynamic planning and location planning models, possible sites are determined and the total distance is calculated. With the normalization method, the functional relation between distance and degree of satisfaction is defined. Applying the location planning model to each possible region and its population of employees, the total degree of satisfaction and locations for each bus stop can be determined. With the help of dimensional analysis, the Bi-objective nonlinear programming model is built to acquire sites of bus stops and the degree of satisfaction. Moreover, a general situation is considered where there are N bus stops. We set multi-objective planning model, and analyze the relation between degree of satisfaction and number of bus stops to provide the appropriate suggestions on university bus arrangement.
Keywords:normalization method   dynamic planning   hi-objective nonlinear programmingmodel   dimensional analysis
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