Refining Square-Root Safety Staffing by Expanding Erlang C

References

• Atar R. Scheduling control for queueing systems with many servers: Asymptotic optimality in heavy traffic. Ann. Appl. Probab. (2005) 15(4):2606–2650Crossref, Google Scholar
• Blanchet J., Glynn P. Complete corrected diffusion approximations for the maximum of a random walk. Ann. Appl. Probab. (2006) 16(2):951–983Crossref, Google Scholar
• Borst S., Mandelbaum A., Reiman M. Dimensioning large call centers. Oper. Res. (2004) 52(1):17–34Link, Google Scholar
• Dai J. G., Tezcan T. Optimal control of parallel server systems with many servers in heavy traffic. Queueing Systems (2008) 59(2):95–134Crossref, Google Scholar
• Gamarnik D., Momčilovic P. Steady-state analysis of a multiserver queue in the Halfin-Whitt regime. Adv. Appl. Probab. (2008) 40(2):548–577Crossref, Google Scholar
• Gans N., Koole G., Mandelbaum A. Telephone call centers: Tutorial, review, and research prospects. Manufacturing Service Oper. Management (2003) 5(2):79–141Link, Google Scholar
• Gross M., Harris J.Fundamentals of Queueing Theory (1998) (Wiley, New York) Google Scholar
• Halfin S., Whitt W. Heavy-traffic limits for queues with many exponential servers. Oper. Res. (1981) 29(3):567–588Link, Google Scholar
• Jagers A. A., Van Doorn E. A. On the continued Erlang loss function. Oper. Res. Lett. (1986) 5(1):43–46Crossref, Google Scholar
• Janssen A. J. E. M., van Leeuwaarden J. S. H., Zwart B. Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime. Queueing Systems (2008a) 58(4):261–301Crossref, Google Scholar
• Janssen A. J. E. M., van Leeuwaarden J. S. H., Zwart B. Normal approximations for the Poisson distribution and the Erlang B formula. Adv. Appl. Probab. (2008b) 40(1):122–143Crossref, Google Scholar
• Jelenković P., Mandelbaum A., Momčilovic P. Heavy traffic limits for queues with many deterministic servers. Queueing Systems (2004) 47(1–2):53–69Crossref, Google Scholar
• Mandelbaum A., Momčilovic P. Queues with many servers: The virtual waiting-time process in the QED regime. Math. Oper. Res. (2008) 33(3):561–586Link, Google Scholar
• Mandelbaum A., Zeltyn Z. Call centers with impatient customers: Many-server asymptotics of the M/M/n+G queue. Queueing Systems (2005) 51(3–4):361–402Crossref, Google Scholar
• Mandelbaum A., Zeltyn Z. Staffing many-server queues with impatient customers: Constraint satisfaction in call centers. Oper. Res. (2009) 57(5):1189–1205Link, Google Scholar
• Puhalskii A., Reiman M. The multiclass GI/PH/N queue in the Halfin-Whitt regime. Adv. Appl. Probab. (2000) 32(2):564–595Crossref, Google Scholar
• Reed J. The G/GI/N queue in the Halfin-Whitt regime II: Idle time system equations. (2007) . Submitted for publicationGoogle Scholar
• Reed J. The G/GI/N queue in the Halfin-Whitt regime. Ann. Appl. Probab. (2009) 19(6):2211–2269Crossref, Google Scholar
• Siegmund D. Corrected diffusion approximations in certain random walk problems. Adv. Appl. Probab. (1979) 11(4):701–719Crossref, Google Scholar
• Whitt W. Understanding the efficiency of multi-server service systems. Management Sci. (1992) 38(5):708–723Link, Google Scholar
• Whitt W. Heavy traffic limit theorems for the G/H2*/n/m queue. Math. Oper. Res. (2005) 30(1):1–27Link, Google Scholar