Assigning Priorities (or Not) in Service Systems with Nonlinear Waiting Costs
Published Online:29 Apr 2021https://doi.org/10.1287/mnsc.2020.3952
References
- (2003) Whittle’s index policy for a multi-class queueing system with convex holding costs. Math. Methods Oper. Res. 57(1):21–39.Crossref, Google Scholar
- (2009) Priority assignment under imperfect information on customer type identities. Manufacturing Service Oper. Management 11(4):674–693.Link, Google Scholar
- (2009) Dynamic routing of customers with general delay costs in a multiserver queuing system. Probab. Engrg. Inform. Sci. 23(2):175–203.Crossref, Google Scholar
- (2018) An equilibrium analysis of a multiclass queue with endogenous abandonments in heavy traffic. Oper. Res. 66(1):163–183.Link, Google Scholar
- (2013) On scheduling a multiclass queue with abandonments under general delay costs. Queueing Systems 74(1):65–104.Crossref, Google Scholar
- (2004) On measuring fairness in queues. Adv. Appl. Probab. 36(3):919–936.Crossref, Google Scholar
- (1995) The achievable region method in the optimal control of queueing systems; formulations, bounds and policies. Queueing Syst. 21:337–389.Crossref, Google Scholar
- (2013) The single-server scheduling problem with convex costs. Queueing Systems 73(3):261–294.Crossref, Google Scholar
- (2014) Scheduling control for Markov-modulated single-server multiclass queueing systems in heavy traffic. Queueing Systems 78(1):57–97.Crossref, Google Scholar
- (1954) Priority assignment in waiting line problems. J. Oper. Res. Soc. Amer. 2(1):70–76.Link, Google Scholar
- (1961) Queues (Methuen & Co. Ltd., London).Google Scholar
- (1999) A probabilistic analogue of the mean value theorem and its applications to reliability theory. J. Appl. Probab. 36(3):706–719.Crossref, Google Scholar
- (2019) Patient prioritization in emergency department triage systems: An empirical study of the Canadian triage and acuity scale (CTAS). Manufacturing Service Oper. Management 21(4):723–741.Link, Google Scholar
- (1999) Sample-Path Analysis of Queueing Systems (Kluwer Academic Publishers, Norwell, MA).Crossref, Google Scholar
- (1989) A new proof of finite moment conditions for GI/G/1 busy periods. Queueing Systems 4(2):171–178.Crossref, Google Scholar
- (2003) Index heuristics for multiclass M/G/1 systems with nonpreemptive service and convex holding costs. Queueing Systems 45(2):81–111.Crossref, Google Scholar
- (1962) Preferential arrangements. Amer. Math. Monthly 69(1):4–8.Crossref, Google Scholar
- (2008) Fundamentals of Queueing Theory, 4th ed. (John Wiley & Sons, Hoboken, NJ).Crossref, Google Scholar
- (2009) Scheduling flexible servers with convex delay costs in many-server service systems. Manufacturing Service Oper. Management 11(2):237–253.Link, Google Scholar
- (1971) Optimal strategies for priority queues with nonlinear costs of delay. SIAM J. Appl. Math. 20(2):224–240.Crossref, Google Scholar
- (1975) Dynamic scheduling of a multiclass queue: Discount optimality. Oper. Res. 23(2):270–282.Link, Google Scholar
- (1968) Priority Queues (Academic Press, New York).Google Scholar
- (2008) Mass-casualty triage: Time for an evidence-based approach. Prehospital Disaster Medicine 23(1):3–8.Crossref, Google Scholar
- (2002) Delay analysis of a probabilistic priority discipline. Eur. Trans. Telecommunications 13(6):563–577.Crossref, Google Scholar
- (1971) Optimal service policy for the M/G/1 queue with multiple classes of arrivals. Technical report, Rand Corporation, Santa Monica, CA.Google Scholar
- (1992) Analysis of a two-class priority queue with Bernoulli schedules. J. Oper. Res. Soc. Japan 35(3):236–249.Google Scholar
- (1962) The effect of queue discipline on waiting time variance. Math. Proc. Cambridge Philos. Soc., vol. 58 (Cambridge University Press), 163–164.Crossref, Google Scholar
- (1965) A conservation law for a wide class of queueing disciplines. Naval Res. Logist. Quart. 12(2):181–192.Crossref, Google Scholar
- (1974) Time-sharing service systems I. Theory Probab. Appl. 19(3):532–551.Crossref, Google Scholar
- (1979) Time-sharing service systems. II. Theory Probab. Appl. 23(2):314–321.Crossref, Google Scholar
- (2009) Modeling and Analysis of Stochastic Systems, 2nd ed. (CRC Press, Boca Raton, FL).Crossref, Google Scholar
- (2015) Asymptotically optimal index policies for an abandonment queue with convex holding cost. Queueing Systems 81(2–3):99–169.Crossref, Google Scholar
- (2004) Scheduling flexible servers with convex delay costs: Heavy-traffic optimality of the generalized cµ-rule. Oper. Res. 52(6):836–855.Link, Google Scholar
- (1960) Priority queues. Ann. Math. Statist. 31(1):86–103.Crossref, Google Scholar
- (1989) Interchange arguments for classical scheduling problems in queues. Systems Control Lett. 12(2):177–184.Crossref, Google Scholar
- (2016) Prioritization in service systems with nonlinear delay costs. Unpublished PhD thesis, University of North Carolina at Chapel Hill.Google Scholar
- (2014) Optimal design of multi-server Markovian queues with polynomial waiting and service costs. Appl. Stochastic Models Bus. Indust. 30(4):429–443.Crossref, Google Scholar
- (1983) Stochastic scheduling with release dates and due dates. Oper. Res. 31(3):559–572.Link, Google Scholar
- (1980) The formula of Faa di Bruno. Amer. Math. Monthly 87(10):805–809.Crossref, Google Scholar
- (2005) Precise formulation and evidence-based application of resource-constrained triage. Acad. Emergency Medicine 12(8):759–770.Crossref, Google Scholar
- (2007) Stochastic Orders (Springer Science & Business Media, New York).Crossref, Google Scholar
- (1992) Multiclass queueing systems: Polymatroidal structure and optimal scheduling control. Oper. Res. 40(3):S293–S299.Google Scholar
- (2017) Patient triage and prioritization under austere conditions. Management Sci. 64(10):4471–4489.Link, Google Scholar
- (1964) Priority queues. Oper. Res. 12(1):63–74.Link, Google Scholar
- (1995) Dynamic scheduling with convex delay costs: The generalized cµ rule. Ann. Appl. Probab. 5(3):809–833.Crossref, Google Scholar
- (1977) An inequality for the variance of waiting time under a general queuing discipline. Oper. Res. 25(5):879–884.Link, Google Scholar
- (1989) Stochastic Modeling and the Theory of Queues (Pearson College Division, Englewood Cliffs, NJ).Google Scholar

