Optimization of call center operations

Abstract

In this work, an investigation into the problem of optimising the operations of a call center is done. The call arrival process is explored and found to be a non-homogeneous Poisson process with arrival rate that is a piece-wise constant function. The call service times are found to possibly be lognormally distributed. The use of well-known queuing models such as the Erlang A, B and C in modeling a call center’s operations with the ultimate goal of determining optimal number of agents needed to obtain an agreed upon targeted service level (SL) threshold is discussed. The target SL involves answering between 85% - 90% of all incoming calls within 15 /30 seconds as per industry norms.