Technical Note—Asymptotically Optimal Control of Omnichannel Service Systems with Pick-up Guarantees
研究了同时服务到店和在线顾客的服务系统最优控制问题，基于两类单服务器排队模型，提出了一种在在线顾客队列低于阈值且无到店顾客时让服务器空闲的近似最优策略。
Both walk-in and online customers appear in many service systems such as restaurants. Online customers are often given a target time for pick up, and the quality of the food/beverage can degrade if it is ready before the arrival of online customers. This distinctive feature brings essential difficulties in the analysis and control of such systems. In “Technical Note: Asymptotically Optimal Control of Omnichannel Service Systems with Pick-up Guarantees,” Gao, Huang, and Zhang study the optimal control problem of such service systems based on a two-class single server queueing model. The paper proposes a nearly-optimal policy that keeps the server idle when the queue of online customers drops below a threshold and there are no walk-in customers.