Well-Posedness and Sensitivity Analysis of a Fluid Model for Multiclass Many-Server Queues with Abandonment Under Global FCFS Discipline

References

• [1] Atar R, Kaspi H, Shimkin N (2014) Fluid limits for many-server systems with reneging under a priority policy. Math. Oper. Res. 39(3):672–696.Link, Google Scholar
• [2] Brown L, Gans N, Mandelbaum A, Sakov A, Shen H, Zeltyn S, Zhao L (2005) Statistical analysis of a telephone call center: A queueing-science perspective. J. Amer. Statist. Assoc. 100(469):36–50.Crossref, Google Scholar
• [3] Gans N, Koole G, Mandelbaum A (2003) Telephone call centers: Tutorial, review and research prospects. Manufacturing Service Oper. Management 5(2):79–141.Link, Google Scholar
• [4] Garnett O, Mandelbaum A, Reiman M (2002) Designing a call center with impatient customers. Manufacturing Service Oper. Management 4(3):208–227.Link, Google Scholar
• [5] Green LV (2006) Queueing analysis in healthcare. Hall R, ed. Patient Flow: Reducing Delay in Healthcare Delivery, International Series in Operations Research & Management Science, vol. 91 (Springer, Boston), 281–307.Google Scholar
• [6] Kang W (2014) Existence and uniqueness of a fluid model for many-server queues with abandonment. Oper. Res. Lett. 42(6–7):478–483.Crossref, Google Scholar
• [7] Kang W, Pang G (2024) Fluid model of a many-server queueing network with abandonment and Markovian routing. Working paper, Rice University, Houston, TX.Google Scholar
• [8] Kang W, Ramanan K (2010) Fluid limits of many-server queues with reneging. Ann. Appl. Probab. 20(6):2204–2260.Crossref, Google Scholar
• [9] Kaspi H, Ramanan K (2011) Law of large numbers limits for many-server queues. Ann. Appl. Probab. 21(1):33–114.Crossref, Google Scholar
• [10] Miller RK, Sell GR (1968) Existence, uniqueness and continuity of solutions of integral equations. Ann. Mat. Pura Appl. 80(1):135–152.Crossref, Google Scholar
• [11] Sidney AM (1975) The Schauder-Tychonoff fixed point theorem and applications. Matematický časopis 25(2):165–172.Google Scholar
• [12] Walsh Zuñiga A (2014) Fluid limits of many-server queues with abandonments, general service and continuous patience time distributions. Stochastic Processes Their Appl. 124(3):1436–1468.Crossref, Google Scholar
• [13] Whitt W (2006) Fluid models for multiserver queues with abandonment. Oper. Res. 54(1):37–54.Link, Google Scholar