一道竞赛题的建模方法初探

Discussion on one contest problems mathematical modeling method

按照"最优解"、"多种解法"的思路对2000年全国大学生数学建模竞赛B题的建模方法进行探讨,建立了5种模型,并对各种模型进行比较分析,找出了一种较好的模型,并归纳出一般建模方法的要点。重点放在模型建立的过程,至于模型的求解只给出结果。

The thesis is based on the ideal of optimal solution and varied solution to discuss the mathematical modeling of 2000 CUMCM Problem B. Five models are constructed and a comparative analysis is made for each of them. A better solution is found and the key points of general mathematical models are summed up. The emphasis of the thesis is placed on the course of modeling construction. Only the result of modeling solution is given.