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Applied Mathematics Colloquium
Friday, Oct 29th

An Optimal Design of the M/M/C/K Queue for Call Centers

William A. Massey
Department of Operations Research and Financial Engineering
Princeton University

Time: 01:00pm - 02:00pm Location: MP 401

Abstract: Motivated by the performance analysis of call centers, we develop an optimal design analysis for the M/M/C/K queueing system in steady state. The number of servers C corresponds to the number of agents and C+K, where K equals the number of additional waiting spaces, corresponds to the number of telephone lines. Our goal is to find the optimal (C,K) for this multi-server, loss and delay queueing system by holding two key service metrics below their given target values, for a predetermined level of offered load traffic. This is joint work with Rodney Wallace of IBM.

Professor Massey is the Edwin S. Wilsey Professor in the Department of Operations Research and Financial Engineering, a member of the Applied and Computational Mathematics Program, and an associate member of the Department of Mathematics at Princeton University. From 1981 until 2001, he was a researcher in the Mathematical Sciences Research Center at Bell Laboratories of Lucent Technologies. His research interests include queueing theory, applied probability, as well as performance and pricing models for telecommunication systems. He received his undergraduate degree in Mathematics from Princeton University in 1977 and his Ph.D. in Mathematics from Stanford University in 1981.



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