Structural Estimation of Callers' Delay Sensitivity in Call Centers
将呼叫中心来电者的决策过程建模为最优停止问题,利用随机系数模型估计其等待成本和服务收益,并通过反事实分析揭示服务规则变化对等待时间和放弃率的影响。
We model the decision-making process of callers in call centers as an optimal stopping problem. After each waiting period, a caller decides whether to abandon a call or continue to wait. The utility of a caller is modeled as a function of her waiting cost and reward for service. We use a random-coefficients model to capture the heterogeneity of the callers and estimate the cost and reward parameters of the callers using the data from individual calls made to an Israeli call center. We also conduct a series of counterfactual analyses that explore the effects of changes in service discipline on resulting waiting times and abandonment rates. Our analysis reveals that modeling endogenous caller behavior can be important when major changes (such as a change in service discipline) are implemented and that using a model with an exogenously specified abandonment distribution may be misleading. This paper was accepted by Assaf Zeevi, stochastic models and simulation.