Analysis of communication networks : call centres, traffic and performance

Author(s)

    • McDonald, David R.
    • Turner, Stephen R. E.

Bibliographic Information

Analysis of communication networks : call centres, traffic and performance

David R. McDonald Stephen R.E. Turner, editors

(Fields Institute communications, v. 28)

American Mathematical Society, c2000

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Includes bibliographical references

"The Fields Institute for Research in Mathematical Sciences"

"Proceedings of the Workshop on Analysis and Simulation of Communication Networks held in November 1998 at the Fields Institute for Research in mathematical Sciences, Toronto"--Pref

Description and Table of Contents

Description

This volume consists of the proceedings of the Workshop on Analysis and Simulation of Communication Networks held at The Fields Institute (Toronto). The workshop was divided into two main themes, entitled 'Stability and Load Balancing of a Network of Call Centers' and 'Traffic and Performance'. The call center industry is large and fast-growing. In order to provide top-notch customer service, it needs good mathematical models. The first part of the volume focuses on probabilistic issues involved in optimizing the performance of a call center. While this was the motivating application, many of the papers are also applicable to more general distributed queuing networks.The second part of the volume discusses the characterization of traffic streams and how to estimate their impact on the performance of a queuing system. The performance of queues under worst-case traffic flows or flows with long bursts is treated. These studies are motivated by questions about buffer dimensioning and call admission control in ATM or IP networks. This volume will serve researchers as a comprehensive, state-of-the-art reference source on developments in this rapidly expanding field.Predicting response times in processor-sharing queues by A. R. Ward and W. Whitt Bilingual server call centres by D. A. Stanford and W. K. Grassmann On dynamic scheduling of a parallel server system with complete resource pooling by R. J. Williams Dynamic scheduling for queuing networks derived from discrete-review policies by Y. C. Teh. Large derviations for join the shorter queue by S. R. E. Turner. Comparing load balancing algorithms for distributed queuing networks by D. R. McDonald and S. R. E. Turner Estimating tail probabilities in queues via extremal statistics by P. W. Glynn and A. J. Zeevi Extremal traffic and worst-case performance for queues with shaped arrivals by G. Kesidis and T. Konstantopoulos. Long range dependence of inputs and outputs of some classical queues by D. J. Daley and R. A. Vesilo. On 'catastrophic' behavior of queuing networks by S. Grishechkin, M. Devetsikiotis, I. Lambadaris, and C. Hobbs.

Table of Contents

Functional models of regular symmetric operators by A. Strauss Property C for ODE and applications to inverse problems by A. G. Ramm Decomposition theorems in Banach spaces by Ya. I. Alber On a new statement of inverse problem of quantum scattering theory by R. Airapetyan Continuous methods for solving nonlinear ill-posed problems by R. G. Airapetyan, A. G. Ramm, and A. B. Smimova Quasi-coisometric realizations of upper triangular matrices by D. Alpay and Y. Peretz Linear systems, operator model theory and scattering: Multivariable generalizations by J. A. Ball Problems on the realization of functions by J. A. Ball and N. J. Young Multiplication theorems for $J$-contractive operator-valued functions by S. Belyi and E. Tsekanovskii Spectral theory of commutative Jacobi fields: Direct and inverse problems by Y. M. Berezansky The forward propagation method applied to the inverse obstacle problem of electromagnetics by G. F. Crosta Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions by J. Eisner and M. Kucera On an abstract boundary value problem with the eigenvalue parameter in the boundary condition by A. Etkin Some applications of the spectral shift operator by F. Gesztesy and K. A. Makarov Application of the hybrid stochastic-deterministic minimization method to a surface data inverse scattering problem by S. Gutman and A. G. Ramm On a theorem of Mochizuki and Uchiyama about long range oscillating potentials I by W. Jager and P. Rejto Basic properties of linear fractional mappings of operator balls: Schroeder's equation by V. Khatskevich and V. Senderov Homogenization of the Dirichlet variational problems in Orlicz-Sobolev spaces by E. Ya. Khruslov and L. S. Pankratov Development of M. K. Gavurin's pseudoperturbation method by B. V. Loginov, D. G. Rakhimov, and N. A. Sidorov A bridge between operator theory and mathematical biology by J. Lopez-Gomez Measures on effects and on projections in spaces with indefinite metric by M. Matvejchuk Concentration behavior of solutions to a chemotaxis system by T. Nagai The solution of linear semidefinite ill-posed problems by the conjugate residual method by R. Plato Justification of the limiting absorption principle in $\mathbb R^2$ by A. G. Ramm Krein's method in inverse scattering by A. G. Ramm Existence and uniqueness of the scattering solutions in the exterior of rough domains by A. G. Ramm and M. Sammartino Existence and uniqueness of solutions of retarded quasilinear wave equations by S. Ruan and J. C. Clements On solution of elliptical interface crack problem by E. I. Shifrin and B. Brank Some new effects for complete second order linear differential equations in Hilbert spaces by A. Shklyar Abstract boundary value problems for operator equations by V. A. Trenogin On spectral decompositions of a restriction of a differential operator by A. V. Tsyganov Approximation of compactly supported functions with free phase by functions with bounded spectrum by N. N. Voitovich, Yu. P. Topolyuk, and O. O. Reshnyak Sourcewise representation and a Posteriori error estimates for ill-posed problems by A. Yagola and K. Dorofeev Coexistence states for Lotka-Volterra systems with cross-diffusion by Y. Yamada Nonhomogeneous string problem with periodically moving boundaries by M. Yamaguchi and H. Yoshida.

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