Fluid Models for Multiserver Queues with Abandonments

References

• Bolotin V., Labetoulle J., Roberts J. W. Telephone circuit holding-time distributions. Proc. Internat. Teletraffic Congress, ITC 14 (1994) North-Holland, Amsterdam, The Netherlands:125–134Crossref, Google Scholar
• Brown L., Gans N., Mandelbaum A., Sakov A., Shen H., Zeltyn S., Zhao L. Statistical analysis of a telephone call center: A queueing-science perspective. J. Amer. Statist. Assoc. (2005) 100:36–50Crossref, Google Scholar
• Csörgő M., Révész P.Strong Approximations in Probability and Statistics (1981) (Academic Press, New York) Google Scholar
• Duffield N. G., Whitt W. Control and recovery from rare congestion events in a large multi-server system. Queueing Systems (1997) 26:69–104Crossref, Google Scholar
• Gans N., Koole G., Mandelbaum A. Telephone call centers: Tutorial, review, and research prospects. Manufacturing Service Oper. Management (2003) 5:79–141Link, Google Scholar
• Garnett O., Mandelbaum A., Reiman M. I. Designing a call center with impatient customers. Manufacturing Service Oper. Management (2002) 4:208–227Link, Google Scholar
• Glynn P. W., Whitt W. A new view of the heavy-traffic limit theorem for infinite-server queues. Adv. Appl. Probab. (1991) 23:188–209Crossref, Google Scholar
• Krichagina E. V., Puhalskii A. A. A heavy-traffic analysis of a closed queueing system with a GI/∞ service center. Queueing Systems (1997) 25:235–280Crossref, Google Scholar
• Mandelbaum A., Pats G., Kelly F. P., Williams R. J. State-dependent queues: Approximations and applications. Stochastic Networks (1995) (Springer, New York) 239–282IMA Volumes in MathematicsCrossref, Google Scholar
• Mandelbaum A., Zeltyn S. The impact of customer patience on delay and abandonment: Some empirically-driven experiments with the M/M/n+G queue. OR Spectrum (2004) 26:377–411Crossref, Google Scholar
• Neuhaus G. On weak convergence of stochastic processes with multidimensional time parameter. Ann. Math. Statist. (1971) 42:1285–1295Crossref, Google Scholar
• Straf M. L. Weak convergence of stochastic processes with several parameters. Proc. Sixth Berkeley Sympos. Math. Statist. Probab. (1971) Vol. 2University of California, Berkley, CA:187–221Google Scholar
• Whitt W. Dynamic staffing in a telephone call center aiming to immediately answer all calls. Oper. Res. Lett. (1999) 24:205–212Crossref, Google Scholar
• Whitt W.Stochastic-Process Limits (2002) (Springer, New York) Crossref, Google Scholar
• Whitt W. Efficiency-driven heavy-traffic approximations for many-server queues with abandonments. Management Sci. (2004) 50:1449–1461Link, Google Scholar
• Whitt W. Engineering solution of a basic call-center model. Management Sci. (2005) 51:221–235Link, Google Scholar