Modeling and Simulation of Nonstationary Non-Poisson Arrival Processes
Published Online:30 Apr 2019https://doi.org/10.1287/ijoc.2018.0828
References
- (2009) Workload forecasting for a call center: Methodology and a case study. Ann. Appl. Statist. 3(4):1403–1447.Crossref, Google Scholar
- (1996) Fitting phase-type distributions via the EM algorithm. Scand. J. Statist. 23(4):419–441.Google Scholar
- (2004) Modeling daily arrivals to a telephone call center. Management Sci. 50(7):896–908.Link, Google Scholar
- (2010) Generalized Concavity, vol. 63, Classics in Applied Mathematics (Society for Industrial and Applied Mathematics, Philadelphia).Crossref, Google Scholar
- (1975) Introduction to Stochastic Processes (Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
- (1992) Simulation of Poisson processes with trigonometric rates. Swain JJ, Goldsman D, Crain RC, Wilson JR, eds. Proc. Winter Simulation Conf. (Institute of Electrical and Electronics Engineers, Piscataway, NJ), 609–617.Crossref, Google Scholar
- (2015) I-SMOOTH: Iteratively smoothing mean-constrained and nonnegative piecewise-constant functions. INFORMS J. Comput. 25(3):432–445.Link, Google Scholar
- (2017) MNO-PQRS: Max nonnegativity ordering—piecewise-quadratic rate smoothing. ACM Trans. Model. Comput. Simul. 27(3):1–19.Crossref, Google Scholar
- (1966) The Statistical Analysis of Series of Events (Chapman and Hall, London).Crossref, Google Scholar
- (1989) Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue. Proc. IEEE 77(1):171–194.Crossref, Google Scholar
- (2009) Transforming renewal processes for simulation of nonstationary arrival processes. INFORMS J. Comput. 21(4):630–640.Link, Google Scholar
- (2016) Staffing a service system with non-Poisson non-stationary arrivals. Probab. Engrg. Inform. Sci. 30(4):593–621.Crossref, Google Scholar
- (2003) Estimation for nonhomogeneous Poisson processes from aggregated data. Oper. Res. Lett. 31(5):375–382.Crossref, Google Scholar
- (2016) Modeling and forecasting call center arrivals: A literature survey and a case study. Internat. J. Forecast. 32(3):865–874.Crossref, Google Scholar
- (2001) Managing uncertainty in call centers using Poisson mixtures. Appl. Stochastic Model. Bus. Indust. 17(4):307–318.Crossref, Google Scholar
- (2014) Are call center and hospital arrivals well modeled by nonhomogeneous Poisson processes? Manufacturing Service Oper. Management 16(3):464–480.Link, Google Scholar
- (2009) Advances in modeling and simulation of nonstationary arrival processes. Lee LH, Kuhl ME, Fowler JW, Robinson S, eds. Proc. 2009 INFORMS Simulation Soc. Res. Workshop (Institute for Operations Research and the Management Sciences, Catonsville, MD), 1–5.Google Scholar
- (1997) Estimating and simulating Poisson processes having trends or multiple periodicities. IIE Trans. 29(3):201–211.Crossref, Google Scholar
- (2015) Simulation Modeling and Analysis, 5th ed. (McGraw-Hill, New York).Google Scholar
- (1991) Modeling and simulation of a nonhomogeneous Poisson process having cyclic behavior. Comm. Statist. Simul. Comput. 20(2–3):777–809.Crossref, Google Scholar
- (1976) Statistical analysis of non-stationary series of events in a data base system. IBM J. Res. Development 20(5):465–482.Crossref, Google Scholar
- (1979) Simulation of nonhomogeneous Poisson processes by thinning. Naval Res. Logist. Quart. 26(3):403–413.Crossref, Google Scholar
- (2013) Modeling and simulation of nonstationary non-Poisson processes. Ph.D. thesis, North Carolina State University, Edward P. Fitts Department of Industrial and Systems Engineering, Raleigh, NC. Accessed August 4, 2015, http://www.lib.ncsu.edu/resolver/1840.16/8661.Google Scholar
- (2015) Combined inversion and thinning methods for simulating nonstationary non-Poisson arrival processes. Yilmaz L, Chan WKV, Moon I, Roeder TMK, Macal C, Rossetti MD, eds. Proc. 2015 Winter Simulation Conf. (Institute of Electrical and Electronics Engineers, Piscataway, NJ), 586–597.Crossref, Google Scholar
- (2018) Staffing to stabilize the tail probability of delay in service systems with time-varying demand. Oper. Res. 66(2):514–534.Link, Google Scholar
- (2012) Stabilizing customer abandonment in many-server queues with time-varying arrivals. Oper. Res. 60(6):1551–1564.Link, Google Scholar
- (2014) Stabilizing performance in networks of queues with time-varying arrival rates. Probab. Engrg Inform. Sci. 28(4):419–449.Crossref, Google Scholar
- (2017) Stabilizing performance in a service system with time-varying arrivals and customer feedback. Eur. J. Oper. Res. 256(2):473–486.Crossref, Google Scholar
- (1994) Unstable asymptotics for nonstationary queues. Math. Oper. Res. 19(2):267–291.Link, Google Scholar
- (2014) A continuous piecewise-linear NHPP intensity-function estimator. Tolk A, Diallo SD, Ryzhov IO, Yilmaz L, Buckley S, Miller JA, eds. Proc. 2014 Winter Simulation Conf. (Institute of Electrical and Electronics Engineers, Piscataway, NJ), 498–509.Crossref, Google Scholar
- . (1995) Organ transplantation policy evaluation. Alexopoulos C, Kang K, Lilegdon WR, Goldsman D, eds. Proc. 1995 Winter Simulation Conf. (Institute of Electrical and Electronics Engineers, Piscataway, NJ), 1314–1323.Google Scholar
- (2010) Real Analysis, 4th ed. (Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
- (1975) Nonlinear Programming for Operations Research (Prentice-Hall International Series in Management, Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
- (1986) Characterizing superposition arrival processes in packet multiplexers for voice and data. IEEE J. Sel. Areas Comm. 4(6):833–846.Crossref, Google Scholar
- (2009) Forecast errors in service systems. Probab. Engrg. Inform. Sci. 23(2):305–332.Crossref, Google Scholar

