Long Time Limits of Fluid Models for Many-Server Queues with Abandonment via Nonlinear Volterra Equations
Published Online:3 Jun 2026https://doi.org/10.1287/stsy.2025.0096
References
- (2015) Patient flow in hospitals: A data-based queueing-science perspective. Stochastic Systems 5(1):146–194.Link, Google Scholar
- (2003) Applied Probability and Queues, 2nd ed. (Springer, Berlin).Google Scholar
- (2023) Large-time limit of nonlinearly coupled measure-valued equations that model many-server queues with reneging. SIAM J. Math. Anal. (Oxford) 55(6):7189–7239.Google Scholar
- (1981) On queues with impatient customers. Gelenbe E, ed. Performance ‘81 (North-Holland Publishing Company, Amsterdam), 159–179.Google Scholar
- (1965) Mathematical Theory of Reliability (Wiley, New York).Google Scholar
- (1980) Bounds, inequalities, and monotonicity properties for some specialized renewal processes. Ann. Probability 8(2):227–240.Google Scholar
- (2005) Statistical analysis of a telephone call center: A queueing-science perspective. J. Amer. Statist. Assoc. 100(469):36–50.Google Scholar
- (2007) Analysis of teller service times in retail banks. Case Studies in Business, Industry, and Government Statistics, 15–25.Google Scholar
- (1986) A note on scalar Volterra integral equations, II. J. Math. Anal. Appl. 115(2):363–395.Google Scholar
- (2003) Telephone call centers: Tutorial, review and research prospects. Manufacturing Service Oper. Management 5(2):79–141.Link, Google Scholar
- (2002) Designing a call center with impatient customers. Manufacturing Service Oper. Management 4(3):208–227.Link, Google Scholar
- (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).Google Scholar
- (2010) Fluid limits of many-server queues with reneging. Ann. Appl. Probability 20(6):2204–2260.Google Scholar
- (2010) Correlation resonance generated by coupled enzymatic processing. Biophys. J. 99(10):3172–3181.Google Scholar
- (1971) Nonlinear Volterra Integral Equations (W. A. Benjamin, Menlo Park, CA).Google Scholar
- (2005) Convex Functions and Their Applications: A Contemporary Approach (Springer, Berlin).Google Scholar
- (1953) Sur Véquation intégrale non linéaire de Volterra. Composite Math. 11:271–290.Google Scholar
- (2015) Models and insights for hospital inpatient operations: Time-dependent ED boarding time. Management Sci. 62(1):1–28.Google Scholar
- (1966) On absolutely continuous components and renewal theory. Ann. Math. Statist. 37(1):271–275.Google Scholar
- (2005) Call centers with impatient customers: Many-server asymptotics of the M/M/n+G queue. Queueing Systems 51(3):361–402.Google Scholar

