This paper deals with a Markovian multiserver model, where the simultaneous effect of customer balking, impatience and retrials is evaluated. The study of systems incorporating these features is motivated by the observation of real service systems where these queueing phenomena interact. Simple approximations based on truncation and generalized truncation are provided. These approximations are compared according to different criteria for several selected scenarios. Finally, our results are used to evaluate the optimal ratio between the number of available channels and the number of waiting positions in an application to call center management. © 2008 Elsevier Ltd. All rights reserved.
Artalejo, J. R., & Pla, V. (2009). On the impact of customer balking, impatience and retrials in telecommunication systems. Computers and Mathematics with Applications, 57(2), 217–229. https://doi.org/10.1016/j.camwa.2008.10.084