CONTINUOUS-TIME MARKOV MODEL FOR GERIATRIC PATIENTS BEHAVIOR. OPTIMIZATION OF T도 BED OCCUPANCY AND COMPUTER SIMULATION

  • Gorunescu, Marina (Department of Mathematics and Informatics, University of Craiova) ;
  • Gorunescu, Florin (Department of Mathematics, Biostatistics and Informatics, University and Pharmacy of Craiova) ;
  • Prodan, Augustin (Department of Mathematics, Biostatistics and Informatics, University of Medicine and Pharmacy of Cluj-Napoca)
  • Published : 2002.12.01

Abstract

Previous research has shown that the flow of patients around departments of geriatric medicine and ex-patients in the community may be-modelled by the application of a mixed-exponential distribution. In this proper we considered a ave-compartment model using a continuous-time Markov process to describe the flow of patients. Using a M/ph/c queuing model, we present a way of optimizing the number of beds in order to maintain an acceptable delay probability a sufficiently low level. Finally, we constructed a Java computer simulation, using data from St George's Hospital, London.

Keywords

References

  1. BMJ v.319 Dynamics of bed use in accommodating emergency admissions: stochastic simulation model A.Bagust;M.Place;J.W.Posnett
  2. Clujul Medical v.LXXIII no.2 A Java Environment for Stochastic Simulation R.Campean;A.Prodan
  3. Introduction to queuing theory R.B.Cooper
  4. Clujul Medical v.LXXIII no.3 Optimizing the Chronic Healthcare Department Occupancy Using the Queuing Modeling F.Gorunescu;A.Prodan;M.Gorunescu
  5. J. Opl. Res. Soc. A queuing model for the bed-occupancy management and planning hospitals F.Gorunescu;S.I.McClean;P.H.Millard
  6. Proc. Appl. Stochastic Models Data Anal. v.10 Queuing Models of the Dynamics of Bed Occupancy in Hospital Systems with Fixed or Limited Capacity F.Gorunescu;M.Mackay;P.H.Millard;S.I.McClean;Govaert,G(ed.);Janssen,J.(ed.);Limnios,N.(ed.)
  7. Methods of Information in Medicine v.30 Balancing acute and long-stay care: the mathematics of throughput in departments of geriatric medicine G.W.Harrison;P.H.Millard
  8. IMA J. Math. Appl. Medicine and Biology v.11 Stochastic models for geriatric in-patient behaviour V.Irvine;S.I.McClean
  9. Queuing systems Vol 1:Theory v.1 L.Kleinrock
  10. Proc. Appl. Stochastic Models Data Anal. v.10 Midnight bed census, patient length of stay and bed occupancy modeling M.Mackay;F.Gorunescu
  11. The Statistician v.42 Patterns of length of stay after admission in geriatric medicine: an event history approach S.I.McClean;P.H.Millard
  12. Health Care Management Science v.1 A three compartment model of the patient flows in a geriatric department: a decision support approach S.I.McClean;P.H.Millard
  13. Proc. of the Workshop on Parallel/High-Performance Object-Oriented Scientific Computing;Technical Report FZJ-ZAM-IB-9906 Simulating and Modeling in Java A.Prodan;F.Gorunescu;R.Prodan
  14. Proc. 16th IMACS World Congress 2000 on Scientific Computation, Applied Mathematics and Simulation v.16 A Java Framework for Stochastic Modeling A.Prodan;F.Gorunescu;R.Prodan;R.Campean
  15. Introduction to probability models(Sixth Edition) S.M.Ross
  16. Ph.D. Thesis Geriatric flow rate modeling G.J.Taylor
  17. Appl. Stochastic Models and Data Anal. v.13 Continuous-time Markov models for geriatric patient behaviour G.J.Taylor;S.I.McClean;P.H.Millard
  18. Appl. Stochastic Models and Data Anal. v.14 Using a continuous time Markov model with Poisson arrivals to describe the movements of geriatric patients G.J.Taylor;S.I.McClean;P.H.Millard
  19. A computational approach Stochastic modelling and analysis H.C.Tijms