Performance Analysis and Optimization of Inbound Call by Raik Stolletz

By Raik Stolletz

The fabric offered during this e-book is as a result of the my paintings within the box of name middle administration throughout the interval 1999-2002. the focal point is at the perfor­ mance research and optimization of inbound name facilities. on the grounds that name arrivals and call-handling instances are usually random in inbound name facilities, this thesis concentrates at the functionality research and optimization utilizing queueing versions. This publication describes mathematical equipment and algorithms to narrate the variety of brokers and cellphone trunks of a given name middle configuration to technical in addition to monetary functionality measures. This booklet has been accredited as a PhD thesis in company management on the Technical collage of Clausthal, Germany. i'm indebted to many folks for his or her help in the course of the strategy of penning this thesis. to begin with, i need to thank my consultant, Prof. Dr. Stefan Helber, for motivating my learn to name heart comparable difficulties. He lightly driven me in fruitful instructions and inspired me to strike a stability among mathematical effects and financial implications. Many different useful feedback got here from him, and his confident reviews on draft models of this booklet are priceless. i'm grateful to him and to Prof. Dr. Rolf Schwinn for refereeing this thesis.

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Gurumurthi and Benjaafar (2001). 42 3 Classification of Queueing Models of Inbound Call Centers However, they assume single servers, but the agent groups of the multiserver M -design can be modeled as sets of single servers as well. Gurumurthi and Benjaafar analyze this queueing system for more than n = 2 customer classes as well. But they apply a state representation which holds only under a special assumption. Let k be the minimum of the number m of servers and the number n of customer classes.

The distributions of the talk time and after-call work time may vary from one customer class to another. The call-handling times or processing times are often assumed to be exponentially distributed. , the future behavior depends on the present as well as on the past. Studying such a queueing model of a call center in an analytical manner is extremely difficult. In real-world call centers the call-handling times are not exponentially distributed, but in many cases the assumption of exponentially distributed call-handling times is a useful approximation.

By multiplying the actual waiting time of a customer by his aging factor the actual priority is determined. If an agent becomes available, he serves a customer with the highest actual priority. The aging factor depends on the customer class. Otherwise, in cases of identical aging factors this method is equivalent to the pure First-Come-First-Served call selection rule. Lehnert assumes completely partitioned waiting rooms with limited queue lengths. 54 Kawashima, Jain and Dhyani, and Wagner analyze completely shared waiting rooms.

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