报告题目：Capacity Allocation and Scheduling in Two-Stage Service Systems with Multiclass Customers
报 告 人：曹 平 教授
工作单位：中国科学技术大学
报告时间：2025年5月21日 8:30-10:00
报告地点：数信学院211
报告摘要：
This work considers a tandem queueing system in which stage 1 has one station serving multiple classes of arriving customers with different service requirements and related delay costs, and stage 2 has multiple parallel stations, with each station providing one type of service. Each station has many statistically identical servers. The objective is to design a joint capacity allocation between stages/stations and scheduling rule of different classes of customers to minimize the system's long-run average cost. Using fluid approximation, we convert the stochastic problem into a fluid optimization problem and develop a solution procedure. Based on the solution to the fluid optimization problem, we propose a simple and easy-to-implement capacity allocation and scheduling policy and establish its asymptotic optimality for the stochastic system. The policy has an explicit index-based scheduling rule that is independent of the arrival rates, and resource allocation is determined by the priority orders established between the classes and stations. We conduct numerical experiments to validate the accuracy of the fluid approximation and demonstrate the effectiveness of our proposed policy.
报告人简介：
曹平，男，中国科学技术大学管理学院特任教授，中国科学院运筹学博士，主要研究方向为随机动态系统的控制和优化，以及其在服务系统优化、生产库存管理、动态合同设计等问题中的应用，现已主持国家自然科学基金青年基金、面上基金、优秀青年基金等4项。研究成果发表在OR、MS、MSOM、POM等国际顶级期刊，并担任OR、MS、《管理科学学报》、《运筹与管理》等期刊审稿人。
