Call centers with a postponed callback offer

Abstract

We study a call center model with a postponed callback option. A customer at the head of the queue whose elapsed waiting time achieves a given threshold receives a voice message mentioning the option to be called back later. This callback option differs from the traditional ones found in the literature where the callback offer is given at customer's arrival. We approximate this system by a two-dimensional Markov chain, with one dimension being a unit of a discretization of the waiting time. We next show that this approximation model converges to the exact one. This allows us to obtain explicitly the performance measures without abandonment and to compute them numerically otherwise. From the performance analysis, we derive a series of practical insights and recommendations for a clever use of the callback offer. In particular, we show that this time-based offer outperforms traditional ones when considering the waiting time of inbound calls.

A dynamic prioritization policy for the callback option in a call center

“…The authors also examine the server reservation policy: Depending on the number of customers in the offline queue, the number of busy customer representatives, and the type of job in service, the number of representatives to be reserved for the online customers is determined. In this paper and also in Legros et al (2017), the online customers have non-preemptive priority over those in the offline queue. Legros et al design a different postponed callback offer scheme.…”