When Service Times Depend on Customers’ Delays: A Relationship Between Two Models of Dependence

References

• Akritas MG, Keilegom IV (2003) Estimation of bivariate and marginal distributions with censored data. J. Roy. Statist. Soc. Ser. B Statist. Methodology 65(2):457–471.Crossref, Google Scholar
• Baccelli F, Boyer P, Hebuterne G (1984) Single-server queues with impatient customers. Adv. Appl. Probab. 16(4):887–905.Crossref, Google Scholar
• Bassamboo A, Randhawa RS (2015) Scheduling homogeneous impatient customers. Management Sci. 62(7):2129–2147.Link, Google Scholar
• Billingsley P (2013) Convergence of Probability Measures (John Wiley & Sons, New York).Google Scholar
• Boxma OJ, Vlasiou M (2007) On queues with service and interarrival times depending on waiting times. Queueing Systems 56(3-4):121–132.Crossref, Google Scholar
• 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
• Browne S, Yechiali U (1990) Scheduling deteriorating jobs on a single processor. Oper. Res. 38(3):495–498.Link, Google Scholar
• Chan CW, Farias VF, Escobar GJ (2017) The impact of delays on service times in the intensive care unit. Management Sci. 63(7):2049–2072.Link, Google Scholar
• Dabrowska DM (1988) Kaplan-Meier estimate on the plane. Ann. Statist. 16(4):1475–1489.Crossref, Google Scholar
• De Vries J, Roy D, De Koster R (2018) Worth the wait? How waiting influences customer behavior and their inclination to return. J. Oper. Management 63(1):59–78.Crossref, Google Scholar
• Glazebrook K (1992) Single-machine scheduling of stochastic jobs subject to deterioration or delay. Naval Res. Logistics 39(5):613–633.Crossref, Google Scholar
• Kaplan EL, Meier P (1958) Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53(282):457–481.Crossref, Google Scholar
• Lopez O, Saint-Pierre P (2012) Bivariate censored regression relying on a new estimator of the joint distribution function. J. Statist. Planning Inference 142(8):2440–2453.Crossref, Google Scholar
• Mandelbaum A, Zeltyn S (2004) The impact of customers’ patience on delay and abandonment: Some empirically-driven experiments with the M/M/n + G queue. OR Spectrum 26(3):377–411.Crossref, Google Scholar
• Mosheiov G (1991) V-shaped policies for scheduling deteriorating jobs. Oper. Res. 39(6):979–991.Link, Google Scholar
• Moyal P (2019) Coupling in the queue with impatience: Case of several servers. Discrete Event Dynam. Systems 29(2):145–162.Crossref, Google Scholar
• Reich M, Mandelbaum A, Ritov Y (2010) The workload process: Modelling, inference and applications. Working paper, Technion-Israel Institute of Technology, Haifa, Israel.Google Scholar
• Sugawa S, Takahashi M (1965) On some queues occurring in an integrated iron and steel works. J. OR Society Japan 8(1):16–23.Google Scholar
• Whitt W (1990) Queues with service times and interarrival times depending linearly and randomly upon waiting times. Queueing Systems 6(1):335–351.Crossref, Google Scholar
• Whitt W (2002) Stochastic-Process Limits: An Introduction to Stochastic-Process Limits and Their Application to Queues, Springer Series in Operations Research and Financial Engineering (Springer Science & Business Media, New York).Crossref, Google Scholar
• Wu CA, Bassamboo A, Perry O (2019) Service systems with dependent service and patience times. Management Sci. 65(3):1151–1172.Link, Google Scholar
• Zohar E, Mandelbaum A, Shimkin N (2002) Adaptive behavior of impatient customers in tele-queues: Theory and empirical support. Management Sci. 48(4):566–583.Link, Google Scholar