Robust Multiclass Queuing Theory for Wait Time Estimation in Resource Allocation Systems
Published Online:14 May 2018https://doi.org/10.1287/mnsc.2017.2948
References
- (1987) Transient behavior of the M/M/1 queue: Starting at the origin. Queueing Systems 2(1):41–65.Crossref, Google Scholar
- (1988) Transient behavior of the M/M/1 queue via Laplace transforms. Adv. Appl. Probab. 20(1):145–178.Crossref, Google Scholar
- (1998) Calculating transient characteristics of the Erlang loss model by numerical transform inversion. Comm. Statist. Stochastic Models 14(3):663–680.Crossref, Google Scholar
- (2008) Organ shortage crisis: Problems and possible solutions. Transplantation Proc. 40(1):34–38.Crossref, Google Scholar
- (2012) A broader view of designing the liver allocation system. Oper. Res. 60(4):757–770.Link, Google Scholar
- (2007) Determining the acceptance of cadaveric livers using an implicit model of the waiting list. Oper. Res. 55(1):24–36.Link, Google Scholar
- (2001) Second-order cone programming. Math. Programming 95:3–51.Crossref, Google Scholar
- (2017) Enhancing kidney supply through geographic sharing in the United States. Production Oper. Management 27(12):2103–2121.Crossref, Google Scholar
- (1999) Communications Policy and the Public Interest: The Telecommunications Act of 1996, The Guilford Communication Series (Guilford Press).Google Scholar
- (2012) Tractable stochastic analysis in high dimensions via robust optimization. Math. Programming 1–48.Google Scholar
- (2015) Robust queueing theory. Oper. Res. 63(3):676–700.Link, Google Scholar
- (2018) Robust transient analysis of multi-server queueing systems and feed-forward networks. Queueing Systems 89(3-4):351–413.Crossref, Google Scholar
- (2005) The origin of bursts and heavy tails in human dynamics. Nature 435:207–211.Crossref, Google Scholar
- (2001) Dynamic scheduling of a parallel server system in heavy traffic with complete resource pooling: Asymptotic optimality of a threshold policy. Ann. Appl. Probab. 11(3):608–649.Crossref, Google Scholar
- (2013) Fairness, efficiency, and flexibility in organ allocation for kidney transplantation. Oper. Res. 61(1):73–87.Link, Google Scholar
- (2017) Mixed-integer rounding enhanced benders decomposition for multiclass service-system staffing and scheduling with arrival rate uncertainty. Management Sci. 63(7):2073–2091.Link, Google Scholar
- (2008) Stability of queueing networks. Probab. Surveys 5:169–345.Crossref, Google Scholar
- (1995) Computing transient and steady-state distributions in polling models by numerical transform inversion. IEEE Internat. Conf. Comm., Vol. 2, 803–809.Google Scholar
- (1994) Multi-dimensional transform inversion with applications to the transient M/G/1 queue. Ann. Appl. Probab. 4(3):719–740.Crossref, Google Scholar
- Cleveland Clinic (2015) Changes to donor kidney and lung allocation programs. http://consultqd.clevelandclinic.org/2015/04/changes-to-donor-kidney-and-lung-allocation-programs.Google Scholar
- (1956) A limit theorem for the maximum of normalized sums of independent random variables. Duke Math. J. 23(1):143–155.Crossref, Google Scholar
- (2014) The extent and predictors of waiting time geographic disparity in kidney transplantation in the United States. Transplantation 97(10):1049–1057.Crossref, Google Scholar
- (2016) Decomposition algorithms for optimizing multi-server appointment scheduling with chance constraints. Math. Programming 157(1):245–276.Crossref, Google Scholar
- (2001) Decision analysis in patient care. Lancet 358(9281):571–574.Crossref, Google Scholar
- (1998) Evidence-informed patient choice: Practical issues of involving patients in decisions about health care technologies. Internat. J. Tech. Assessment Health Care 14(2):212–225.Crossref, Google Scholar
- (1979) Computers and Intractability: A Guide to the Theory of NP-Completeness, 1979, Vol. 58 (Freeman, San Francisco).Google Scholar
- (1977) Transient solutions in Markovian queueing systems. Comput. Oper. Res. 4(1):47–53.Crossref, Google Scholar
- (1980) Transient and steady state results for two parallel queues. Omega 8(1):105–112.Crossref, Google Scholar
- (2008) Fundamentals of Queueing Theory, 4th ed. (Wiley-Interscience, New York).Crossref, Google Scholar
- (2010) Staffing call centers with uncertain demand forecasts: A chance-constrained optimization approach. Management Sci. 56(7):1093–1115.Link, Google Scholar
- (1999) Heavy traffic resource pooling in parallel-server systems. Queueing Systems 33(4):339–368.Crossref, Google Scholar
- (1997) Dynamic control of Brownian networks: State space collapse and equivalent workload formulations. Ann. Appl. Probab. 7(3):747–771.Crossref, Google Scholar
- (2003) Stochastic Models in Operations Research, Volume I: Stochastic Processes and Operating Characteristics, Dover Books on Computer Science Series (Dover Publications, Mineola, NY).Google Scholar
- (2009) Global trends in the rates of living kidney donation. Kidney Internat. 75(10):1088–1098.Crossref, Google Scholar
- (2017) Does the past predict the future? The case of delay announcements in service systems. Management Sci. 63(6):1762–1780.Link, Google Scholar
- (2010) Scheduling and Congestion Control for Wireless and Processing Networks, Synthesis Lectures on Communication Networks (Morgan and Claypool Publishers, Williston, VT).Google Scholar
- (2012) Transient queueing analysis. INFORMS J. Comput. 24(1):10–28.Link, Google Scholar
- (1958) Many server queueing processes with Poisson input and exponential service times. Pacific J. Math. 8(1):87–118.Crossref, Google Scholar
- (1979) Markov Chain Models—Rarity and Exponentiality, Applied Mathematical Sciences, Vol. 28 (Springer, New York).Crossref, Google Scholar
- (1985) The transient behavior of the M/M/s queue, with implications for steady-state simulation. Oper. Res. 33(2):378–396.Link, Google Scholar
- (2015) Accept/decline decision module for the liver simulated allocation model. Health Care Management Sci. 18(1):35–57.Crossref, Google Scholar
- (2010) Maximizing the efficiency of the U.S. liver allocation system through region design. Management Sci. 56(12):2111–2122.Link, Google Scholar
- (1978) Approximate transient analysis of some queuing systems. Oper. Res. 26(2):333–346.Link, Google Scholar
- (2008) Optimal initiation and management of dialysis therapy. Oper. Res. 56(6):1428–1449.Link, Google Scholar
- (2017) Closed-form solutions for robust inventory management. Management Sci. 63(5):1625–1643.Link, 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
- (2015) OPTN/SRTR 2013 annual data report: Kidney. Amer. J. Transplantation 15(Suppl. 2):1–34.Crossref, Google Scholar
- (1975) Approximating the behavior of nonstationary single-server queues. Oper. Res. 23(5):1011–1032.Link, Google Scholar
- (1983) An empirical investigation of the transient behavior of stationary queueing systems. Oper. Res. 31(3):432–455.Link, Google Scholar
- OPTNKTC (2007) Report of the OPTN/UNOS Kidney Transplantation Committee to the Board of Directors, September 17–18.Google Scholar
- (1995) Scheduling: Theory, Algorithms, and Systems (Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
- (2006) Optimal control of a high-volume assemble-to-order system. Math. Oper. Res. 31(3):453–477.Link, Google Scholar
- (1994) Polyhedral approaches to machine scheduling. Technical report, Technische Universität Berlin, Berlin.Google Scholar
- (1976) A simple approximation to the average queue size in the time-dependent M/M/1 queue. J. ACM 23(2):361–367.Crossref, Google Scholar
- (1979) A closure approximation for the nonstationary M/M/s queue. Management Sci. 25(6):522–534.Link, Google Scholar
- (2008) Estimating the patient’s price of privacy in liver transplantation. Oper. Res. 56(6):1393–1410.Link, Google Scholar
- (2013) Alleviating the patient’s price of privacy through a partially observable waiting list. Management Sci. 59(8):1836–1854.Link, Google Scholar
- (2005) Patient choice in kidney allocation: A sequential stochastic assignment model. Oper. Res. 53(3):443–455.Link, Google Scholar
- (2006) Recipient choice can address the efficiency-equity trade-off in kidney transplantation: A mechanism design model. Management Sci. 52(11):1647–1660.Link, Google Scholar
- (2002) Patient safety: What about the patient? Quality Safety Health Care 11(1):76–80.Crossref, Google Scholar
- (2018) Using robust queueing to expose the impact of dependence in single-server queues Oper. Res. 66(1):184–199.Google Scholar
- (2016) Time-Varying Robust Queueing (Columbia University, New York).Google Scholar
- (2011) A temporal approach to stochastic network calculus. Working paper, Research and Innovation, Det Norske Veritas, Høvik, Norway.Google Scholar
- (2005) Models for kidney allocation. Brandeau ML, Sainfort F, Pierskalla WP, eds. Operations Research and Health Care (Springer, Boston), 537–554.Crossref, Google Scholar

