Abstract:
We model a common teller-customer interaction occurring in the Ghanaian banking sector via a Double-X queuing network consisting of three single servers with infinite-capacity buffers. The servers are assumed to face independent general renewal of customers and independent identically distributed general service times, the inter-arrival and service time distributions being different for each server. Servers, when free, help serve customers waiting in the queues of other servers. By using the fluid limit approach, we find a sufficient stability condition for the system, which involves the arrival and service rates in the form of a set of inequalities. Finally, the model is validated using an illustrative example from a Ghanaian bank.
Description:
Zhang, H., School of Economics and Management, Changzhou Institute of Technology, Changzhou, 213032, China; Akuamoah, S.W., Department of Mathematics and Statistics, Ho Technical University, Region P.O. Box HP 217, Ho Volta, Ghana; Apeanti, W.O., Faculty of Science, University of Education, P.O. Box 25, Winneba, Ghana; Harvim, P., Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5, Canada; Yaro, D., Department of Mathematics and Statistics, School of Applied Sciences and Technology, Cape Coast Technical University, P.O. Box DL 50, Cape Coast, Ghana; Georgescu, P., Department of Mathematics, Technical University of Iasi, Bd. Copou 11A, Iasi, 700506, Romania