Mathematical modelling: how and why

This article responds to Mark's (2003) recent commentary on Millard and Ivatts (2002 A and B) earlier articles on modelling health care demand and patient flows.

[1]  P. H. Millard,et al.  A simulation modelling approach to evaluating length of stay, occupancy, emptiness and bed blocking in a hospital geriatric department , 1998, Health care management science.

[2]  Sally McClean,et al.  Stochastic models of geriatric patient bed occupancy behaviour , 2000 .

[3]  E. El-Darzi,et al.  A simulation study of the winter bed crisis , 2001, Health care management science.

[4]  P H Millard,et al.  Balancing acute and long-term care: the mathematics of throughput in departments of geriatric medicine. , 1991, Methods of information in medicine.

[5]  P H Millard,et al.  Modelling hospital and social care bed occupancy and use by elderly people in an English health district , 2001, Health care management science.

[6]  H M Hodkinson,et al.  Death and discharge from a geriatric department. , 1980, Age and ageing.

[7]  Peter H. Millard,et al.  Health care modelling - why should we try? , 2002 .

[8]  Annabelle L. Mark Modelling demand - a rejoinder , 2003 .

[9]  P H Millard,et al.  Developing a Bayesian belief network for the management of geriatric hospital care , 2001, Health care management science.

[10]  P H Millard,et al.  Modelling Patient Duration of Stay to Facilitate Resource Management of Geriatric Hospitals , 2002, Health care management science.

[11]  M. Mackay Practical experience with bed occupancy management and planning systems: an Australian view , 2001, Health care management science.

[12]  J. Posnett,et al.  Dynamics of bed use in accommodating emergency admissions: stochastic simulation model , 1999, BMJ.

[13]  David Snowden,et al.  The First Age: Information for Decision Support 1995: the Transition to the Second Age Complex Acts of Knowing: Paradox and Descriptive Self-awareness , 2022 .

[14]  Sally McClean,et al.  A queueing model for bed-occupancy management and planning of hospitals , 2002, J. Oper. Res. Soc..

[15]  A. Oliver Reforming public sector dentistry in the UK , 2002 .

[16]  G. Harrison Implications of mixed exponential occupancy distributions and patient flow models for health care planning , 2001, Health care management science.

[17]  Peter H. Millard,et al.  Health care modelling: opening the ‘black box' , 2002 .