Publications

Back to staff profile

  • M. Fackrell, P. Taylor, Jiesen Wang. Strategic customer behavior in an M/M/1 feedback queue. Queueing Systems, 97, 223-259, 2021. doi: 10.1007/s11134-021-09693-z.

  • M. Fackrell, C. Li, P. Taylor, Jiesen Wang. The Value of Communication and Cooperation in a Two-Server Service System. 2021.

  • M. Fackrell, P. Taylor, Jiesen Wang. Strategic Customer Behavior in an $M/M/1$ Feedback Queue. 2021.

  • Mojtaba Heydar, Erin Trainer, M. Fackrell, P. Taylor, A. Tirdad. A stochastic model for the patient-bed assignment problem with random arrivals and departures. Annals of Operations Research, 1-33, 2021. doi: 10.1007/s10479-021-03982-9.

  • M. Fackrell, C. Li, P. Taylor, J Wang. The value of communication and cooperation when servers are strategic. The ANZIAM Journal, 349-367, 2020. doi: 10.1017/S1446181120000048.

  • Aregawi Abera, Barbara Holland, M. Fackrell, Mojtaba Heydar. Decision support model for the patient admission scheduling problem with random arrivals and departures. 312-336, Unknown, 2019.

  • A. Kumar, M. Fackrell. Intelligent Management of Elective Surgery Patient Flow. 2019.

  • A. Kumar, A. Costa, M. Fackrell, P. Taylor. A sequential stochastic mixed integer programming model for tactical master surgery scheduling. European Journal of Operational Research, 734-746, 2018. doi: 10.1016/j.ejor.2018.04.007.

  • M. Fackrell, P. Taylor. Allocation in a vertical rotary car park. 337-370, Markov Decision Processes in Practice, Springer, 2017. doi: 10.1007/978-3-319-47766-4_12.

  • I. Siekmann, M. Fackrell, E. Crampin, P. Taylor. Modelling modal gating of ion channels with hierarchical Markov models. Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences, 472, 20160122 (27pp), 2016. doi: 10.1098/rspa.2016.0122.

  • Ivo Siekmann, M. Fackrell, E. Crampin, P. Taylor. Modelling modal gating of ion channels with hierarchical Markov models. 2016.

  • S. Hautphenne, M. Fackrell. An EM algorithm for the model fitting of Markovian binary trees. Computational Statistics & Data Analysis, 70, 19-34, 2014. doi: 10.1016/j.csda.2013.08.015.

  • M. Fackrell. A semi-infinite programming approach to identifying matrix-exponential distributions. International Journal of Systems Science, 43, 1623-1631, 2012. doi: 10.1080/00207721.2010.549582.

  • M. Fackrell, Q He, P. Taylor, H. Zhang. The Algebraic Degree of Phase-Type distributions. Journal of Applied Probability, 47, 611-629, 2010. doi: 10.1239/jap/1285335399.

  • L Au, G. Byrnes, C Bain, M. Fackrell, C Brand, D Campbell, P. Taylor. Predicting Overflow in an Emergency Department. IMA Journal of Management Mathematics, 20, 39-49, 2009. doi: 10.1093/imaman/dpn007.

  • M. Fackrell. Modelling healthcare systems with phase-type distributions. Health Care Management Science, 12, 11-26, 2009. doi: 10.1007/s10729-008-9070-y.

  • M. Fackrell. An alternative characterization for matrix-exponential distributions. Advances in Applied Probability, 41, 1005-1022, 2009. doi: 10.1239/aap/1261669583.

  • N Bean, M. Fackrell, P. Taylor. Characterization of Matrix-Exponential Distributions. Stochastic Models, 24, 339-363, 2008. doi: 10.1080/15326340802232186.

  • M. Fackrell. Characterizing Coxian distributions of algebraic degree q and triangular order p. Numerical Methods for Structured Markov Chains, 2007.

  • M. Fackrell. Phase-type distributions in healthcare modelling I. 2007.

  • M. Fackrell. Phase-type distributions in healthcare modelling II. 2007.

  • M. Fackrell. Phase-type distributions in healthcare modelling III. 2007.

  • M. Fackrell. Fitting With Matrix-Exponential Distributions. Stochastic Models, 21, 377-400, 2005. doi: 10.1081/STM-200056227.

  • T. Brown, M. Fackrell, A. Xia. Improved Results on Poisson Process Approximation in Jackson Networks. Cosmos, 1, 47-55, 2005. doi: 10.1142/S0219607705000061.

  • A Costa, M. Fackrell, P. Taylor. Two Issues Surrounding Parrondo’s Paradox. Annals of the International Society of Dynamical Games, 7, 599-609, 2005.

  • A. Costa, M. Fackrell, P. Taylor. Two issues surrounding parrondo’s paradox. Annals of the International Society of Dynamical Games, 7, 599-609, 2005. doi: 10.1007/0-8176-4429-6_31.