时间：2024年5月30日14:30

地点：经管楼1205室

主讲人：郑欢 教授，上海交通大学

题目：On fairness and efficiency in nonprofit operations: Dynamic resource allocations

摘要：We study a sequential resource allocation problem balancing fairness and efficiency for nonprofit operations. (Un)fairness is measured by the expected maximum demand shortfall among all communities, and (in)efficiency is measured by the expected remaining resources after allocation. We characterize the optimal allocation policy as a two-threshold policy in which the optimal allocation quantities are spoon-shaped in terms of the current maximum demand shortfall. We further show that the thresholds and optimal allocation quantity for each community are nondecreasing in resource levels, realized demand from the current community, and weight of the efficiency objective. Based on these results, we propose a simple heuristic policy and numerically show that it performs well and generates fair allocations in a stochastic majorization order. The numerical results show that adding a small weight to the fairness objective significantly improves the system’s fairness at a small efficiency cost. Moreover, the optimal initial capacity level is increasing (decreasing) in demand variance if the efficiency weight is small (large).

个人简介：郑欢是中国上海交通大学安泰太阳成集团tyc234cc主页教授。她在新加坡国立大学获得了决策科学博士学位。她的主要研究兴趣包括流程灵活性、供应链管理和数据驱动优化。她曾发表在Operations Research，Manufacturing & Service Operations Management，Productions and Operations Management，INFORMS Journal on Computing等学术期刊上。