用博弈理论解决图书馆员排班问题

Use Game Theory to Solve Library Staff Scheduling Problem

论文根据图书馆员的特征设计一个变和博弈模型,模型中将图书馆员简化成两种类型,一种为上班时间点刚需型,一种为公平性刚需型。因为信息的不对称性与决策时间的先后性,将形成四种博弈收益结果。完全信息动态博弈中,当排班的图书馆员要求都被满足,整体收益与双方收益都将达到最大值。

This paper designs the variable-sum game model according to the characteristic of librarian. In this model librarians are simply classified into two types, one need work time, another need impartiality. Based on the game theory, it will form four kinds of game＇s income. The overall revenue and two sides benefit will be the largest in the complete information dynamic game when both requirements are satisfied.