不同理性两学生食堂最优供应模型研究

Studies on the Optimal Supply Model of Two Student Cafeterias with Heterogeneous Rationality

摘要: 假设两学生食堂具有不同理性(即不同的自我认识),研究其利润、浪费与供应调整系数之间的关系.构造差分方程系统描述就餐人数变化规律,利用生产函数确定食堂的利润,建立不同理性下利润最大和浪费量最小的双目标优化模型.通过数值模拟确定不同理性下最优供应调整系数的取值区间,并对结果进行稳定性分析

Abstract: The relationship among the profits，the waste and the supply adjusting coefficient of two student cafeterias with heterogeneous rationality(that is，two student cafeterias have self-knowledge)was studied.The variation of the number of meals and the profits was described by difference equations and cost function，and then two-objective optimization model with the maximizing profits and the minimizing waste was established.The optimal value interval of the supply adjustment coefficient under heterogeneous rationality was determined by numerical simulation.Finally，the stability of the result was analyzed.