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Modelling healthcare systems with phase-type distributions

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  • Mark Fackrell

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  • Mark Fackrell, 2009. "Modelling healthcare systems with phase-type distributions," Health Care Management Science, Springer, vol. 12(1), pages 11-26, March.
    • Handle: RePEc:kap:hcarem:v:12:y:2009:i:1:p:11-26
    DOI: 10.1007/s10729-008-9070-y
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    References listed on IDEAS

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    1. S. I. McClean & J. O. Gribbin, 1987. "Estimation for incomplete manpower data," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 3(1), pages 13-25.
    2. F Gorunescu & S I McClean & P H Millard, 2002. "A queueing model for bed-occupancy management and planning of hospitals," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(1), pages 19-24, January.
    3. C Vasilakis & A H Marshall, 2005. "Modelling nationwide hospital length of stay: opening the black box," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(7), pages 862-869, July.
    4. H. Xie & T. J. Chaussalet & P. H. Millard, 2005. "A continuous time Markov model for the length of stay of elderly people in institutional long‐term care," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(1), pages 51-61, January.
    5. Mary A. Johnson, 1993. "Selecting Parameters of Phase Distributions: Combining Nonlinear Programming, Heuristics, and Erlang Distributions," INFORMS Journal on Computing, INFORMS, vol. 5(1), pages 69-83, February.
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    Citations

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    Cited by:

    1. Jukka Lempa, 2020. "Some results on optimal stopping under phase-type distributed implementation delay," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 91(3), pages 559-583, June.
    2. McClean, Sally & Gillespie, Jennifer & Garg, Lalit & Barton, Maria & Scotney, Bryan & Kullerton, Ken, 2014. "Using phase-type models to cost stroke patient care across health, social and community services," European Journal of Operational Research, Elsevier, vol. 236(1), pages 190-199.
    3. Issac Shams & Saeede Ajorlou & Kai Yang, 2015. "A predictive analytics approach to reducing 30-day avoidable readmissions among patients with heart failure, acute myocardial infarction, pneumonia, or COPD," Health Care Management Science, Springer, vol. 18(1), pages 19-34, March.
    4. Jennifer Gillespie & Sally McClean & Bryan Scotney & Lalit Garg & Maria Barton & Ken Fullerton, 2011. "Costing hospital resources for stroke patients using phase-type models," Health Care Management Science, Springer, vol. 14(3), pages 279-291, September.
    5. Izady, N. & Worthington, D., 2011. "Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions," European Journal of Operational Research, Elsevier, vol. 213(3), pages 498-508, September.
    6. Belén García-Mora & Cristina Santamaría & Gregorio Rubio, 2020. "A Phase-Type Distribution for the Sum of Two Concatenated Markov Processes Application to the Analysis Survival in Bladder Cancer," Mathematics, MDPI, vol. 8(12), pages 1-15, November.
    7. Hsiao-Hsuan Jen & Chen-Yang Hsu & Amy Ming-Fang Yen & Han-Mo Chiu & Hsiu-Hsi Chen, 2022. "Queue hurdle Coxian phase-type model for two-stage process of population-based cancer screening," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(3), pages 661-678, September.
    8. Bruce Jones & Sally McClean & David Stanford, 2019. "Modelling mortality and discharge of hospitalized stroke patients using a phase-type recovery model," Health Care Management Science, Springer, vol. 22(4), pages 570-588, December.
    9. Wanlu Gu & Neng Fan & Haitao Liao, 2019. "Evaluating readmission rates and discharge planning by analyzing the length-of-stay of patients," Annals of Operations Research, Springer, vol. 276(1), pages 89-108, May.
    10. John Bowers, 2011. "Simulating waiting list management," Health Care Management Science, Springer, vol. 14(3), pages 292-298, September.
    11. Harper, P.R. & Knight, V.A. & Marshall, A.H., 2012. "Discrete Conditional Phase-type models utilising classification trees: Application to modelling health service capacities," European Journal of Operational Research, Elsevier, vol. 219(3), pages 522-530.
    12. Fanwen Meng & Kiok Teow & Chee Ooi & Bee Heng & Seow Tay, 2015. "Analysis of patient waiting time governed by a generic maximum waiting time policy with general phase-type approximations," Health Care Management Science, Springer, vol. 18(3), pages 267-278, September.
    13. Jennifer Gillespie & Sally McClean & Lalit Garg & Maria Barton & Bryan Scotney & Ken Fullerton, 2016. "A multi-phase DES modelling framework for patient-centred care," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(10), pages 1239-1249, October.
    14. Azcarate, Cristina & Esparza, Laida & Mallor, Fermin, 2020. "The problem of the last bed: Contextualization and a new simulation framework for analyzing physician decisions," Omega, Elsevier, vol. 96(C).
    15. Zhang, Xuan & Hou, Zhenting, 2012. "The first-passage times of phase semi-Markov processes," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 40-48.
    16. Mojtaba Heydar & Małgorzata M. O’Reilly & Erin Trainer & Mark Fackrell & Peter G. Taylor & Ali Tirdad, 2022. "A stochastic model for the patient-bed assignment problem with random arrivals and departures," Annals of Operations Research, Springer, vol. 315(2), pages 813-845, August.
    17. Jianzhe Luo & Vidyadhar G. Kulkarni & Serhan Ziya, 2012. "Appointment Scheduling Under Patient No-Shows and Service Interruptions," Manufacturing & Service Operations Management, INFORMS, vol. 14(4), pages 670-684, October.

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