RT journal article T1 Call center data modeling: a queueing science approach based on Markovian arrival processes A1 González, Marcos A1 Lillo, Rosa Elvira A1 Ramírez Cobo, Josefa A2 Estadística e Investigación Operativa K1 Call center K1 Markovian arrival process K1 Lognormal distribution K1 Overdis- persion K1 Impatient customers K1 Queueing Science AB In this paper we analyze the well-known “Anonymous bank” call center dataset from a queueing science viewpoint. For this purpose, fitted distributions for both the inter-arrival and service times as well as for customers patiences are integrated in a simulator to infer quantities of interest related to call centers managerial de- cisions as waiting times, abandonment rates and queue lengths. In particular, it is shown how a type of Markov renewal process, the Markovian arrival process (MAP), is able to capture some of the characterizing properties of arrivals in a modern call center as overdispersion and positive correlation between arrival counts. The work provides a new inference approach for the MAP based on the count process de- scriptors and presents new properties concerning the dependence structure of the cumulated number of arrivals in a MAP. YR 2024 FD 2024-06-10 LK http://hdl.handle.net/10498/32523 UL http://hdl.handle.net/10498/32523 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 08-nov-2026