References
Ancker, C.J., Jr., Gafarian, A.V.: Some queuing problems with balking and reneging. Oper. Res. 11, 88–100 (1963)
Andradóttir, S., Ayhan, H.: Optimal server assignment in queues with flexible servers and abandonments. Working paper, (2022)
Andradóttir, S., Ayhan, H., Down, D.: Server assignment policies for maximizing the steady-state throughput of finite queueing systems. Manag. Sci. 47, 1421–1439 (2001)
Armony, M., Chan, C.W., Zhu, B.: Critical care capacity management: understanding the role of a step down unit. Prod. Oper. Manag. 27, 859–883 (2007)
Arsani, S., Debo, L., Iravani, S.: Optimal policy in single-server multi-class queuing systems with abandonment. SSRN, Posted 2019, 19 pages (2019)
Ata, B., Tongarlak, M.: On scheduling a multiclass queue with abandonments under general delay costs. Queue. Syst. 74, 65–104 (2013)
Atar, R., Giat, C., Shimkin, N.: The \(c\mu /\theta \) rule for many-server queues with abandonment. Oper. Res. 58, 1427–1439 (2010)
Baccelli, F., Boyer, F., Hebuterne, G.: Single server queues with impatient customers. Adv. Appl. Probab. 16, 887–905 (1984)
Barrer, D.Y.: Queuing with impatient customers and ordered service. Oper. Res. 5, 650–656 (1957)
Boxma, O., Perry, D., Stadje, W.: The M/G/1+G queue revisited. Queue. Syst. 67, 207–220 (2011)
Brandt, A., Brandt, M.: Workload and busy period for M/GI/1 with a general impatience mechanism. Queue. Syst. 75, 189–209 (2013)
Dai, J.G., Tezcan, T.: Optimal control of parallel server systems with many servers in heavy traffic. Queue. Syst. 59, 95–134 (2008)
Dai, J.G., He, S.: Many-server queues with customer abandonment: Numerical analysis of their diffusion model. Stochast. Syst. 3, 96–146 (2013)
Das, S., Jenkins, L., Sengupta, D.: Analysis of an M/M/1+G queue operated under the FCFS policy with exact admission control. Queue. Syst. 75, 169–178 (2013)
Down, D.G., Koole, G., Lewis, M.E.: Dynamic control of a single-server system with abandonments. Queue. Syst. 67, 63–90 (2011)
Fralix, B.H.: On the time-dependent moments of Markovian queues with reneging. Queue. Syst. 75, 149–168 (2013)
Kim, J., Ward, A.R.: Dynamic scheduling of a GI/GI/1+GI queue with multiple customer classes. Queue. Syst. 75, 339–384 (2013)
Jouini, O., Dallery, Y.: Monotonicity properties for multiserver queues with reneging and finite waiting times. Probab. Eng. Inf. Sci. 21, 335–360 (2007)
Jouini, O., Pot, A., Koole, G., Dallery, Y.: Online scheduling policies for multiclass call centers with impatient customers. Eur. J. Oper. Res. 207, 258–268 (2010)
Koole, G., Pot, A.: A note on profit maximization and monotonicity for inbound call centers. Oper. Res. 59, 1304–1308 (2011)
Long, Z., Shimkin, N., Zhang, H., Zhang, J.: Dynamic scheduling of multiclass many-server queues with abandonment: the generalized \(c\mu /h\) rule’’. Oper. Res. 68, 1218–1230 (2020)
Moyal, P.: On queues with impatience: stability, and the optimality of earliest deadline first. Queue. Syst. 75, 211–242 (2013)
Puha, A.L., Ward, A.R.: Scheduling an overloaded multiclass many-server queue with impatient customers. INFORMS TutORials. In: Operations Research: Operations Research and Management Science in the Age of Analytics, 189–217, (2019)
Wang, J., Abouee Mehrizi, H., Baron, O., Berman, O.: Tandem queues with impatient customers. Perform. Eval. 135 (2019)
Whitt, W.: Fluid models for multiserver queues with abandonments. Oper. Res. 54, 37–54 (2006)
Yu, Z., Andradóttir, S., Ayhan, H.: Optimal control of supervisors balancing individual and joint responsibilities. Under revision, (2021)
Zayas-Cabán, G., Xie, J., Green, L.V., Lewis, M.E.: Dynamic control of a tandem system with abandonments. Queue. Syst. 84, 279–293 (2016)
Zayas-Cabán, G., Xie, J., Green, L.V., Lewis, M.E.: Policies for physician allocation to triage and treatment in emergency departments. IISE Transactions on Healthcare Systems Engineering 9, 342–356 (2019)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ayhan, H. Server assignment policies in queues with customer abandonments. Queueing Syst 100, 393–395 (2022). https://doi.org/10.1007/s11134-022-09792-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11134-022-09792-5