Applications of the Erlang B and C Formulas to Model a Network of Banking Computer Systems - Moving Towards Green IT and Performant Banking

摘要

This paper surveys the contributions and applications of queueing theory in the field of bankingdata networks. We start by highlighting the history of IT and banks and we continue byproviding information regarding the main prudential regulations on the banking area as BaselAccords and green IT regulations, that on one side generate more computing needs and on theother side promote conscientious use of the existing IT systems.Continuing with a background of the network technologies used in Economics, the focus will beon the queueing theory, describing and giving an overview of the most important queueingmodels used in economical informatics. While the queueing theory is characterized by itspractical, intuitive and subtle attributes, the queueing models are described by a set of 3factors: an input process, a service process and a physical configuration of the queue or thequeueing discipline.The Erlang B and C mathematical definitions of formulas for a specific number of s servers, atthe arrival rate, and the average service time will be described, used and confirmed bycomputer simulations of real queues usually found in the banking computing systems.The goal is to provide sufficient information to computer performance analysts who areinterested in using the queueing theory to model a network of banking computer systems usingthe right simulation model applied in real-life scenarios, e.g. overcoming the negative impactsof the European banking regulations while moving towards green computing.