经典席位分配模型的分析与评价.doc

经典席位分配模型的分析与评价 经典席位分配模型的分析与评价 摘要：随着科学技术的迅速发展，数学模型在现代人的生产、工作中发挥着重要作用。席位分配问题研究的是人类社会生活中相当普遍的1类资源分配问题，其目标是试图在1个大集体对小集体进行某种资源分配时尽可能做到公平合理，处理这类问题的关键是建立正确的数学模型描述对各个小集体的资源不公平度及其变化。本文首先提出数学模型及其特点；然后对经典席位分配问题的数学模型进行研究；接下来讨论关于经典席位分配问题的几种常用数学模型并分析各自的优缺点；最后通过实例验证这些模型之间的优劣，为我们以后求解席位分配问题时，怎样选用席位分配模型提供1定的参考。关键词：席位分配问题；数学模型；模型分析；模型评价Classic model of the distribution of seats Analysis and Evaluation Abstract：Along with the rapid scientific and technological development, the mathematical model plays an important role in modern production. The research of distribution of seats is a very common kind of resource allocation problems in everyday life. Its goal is to distribute resources in a fair and reasonable way for large group and small group. Deal with these problems, the key is to establish a correct description of the mathematical model to all the resources which maybe unfair and changes. The paper proposes a mathematical model and its characteristics; Then the classic representation of the mathematical model study and the classic problem of the distribution of seats Several mathematical model and analyze their own strengths and weaknesses. Finally, the examples show these models, we will solve the issue of the distribution of seats, and how to choose representation model for a reference. Keywords: distribution of seats; mathematical model; model analysis; model evaluation