skip to main content
article

A Markovian Model for Hospital Admission Scheduling

Published: 01 February 1970 Publication History

Abstract

Several queuing models suggested for modelling hospital admissions scheduling are reviewed and a Markovian decision model is presented. The resulting linear program could be solved to obtain results listed on a decision table as a guide to administrative action.

References

[1]
ACHESON, E. D. AND FELDSTEIN, M. S., "Duration of Stay in Hospital for Normal Maternity Care," British Medical Journal, Vol. 2 (1964), pp. 95-99.
[2]
BALINTFY, J. L., "A Stochastic Model for the Analysis and Prediction of Admissions and Discharges in Hospitals," Management Sciences: Models and Techniques, Vol. 2 (1960), pp. 288-299.
[3]
BAILEY, N. T. J., "Statistics in Hospital Planning and Design," J. Royal Stat. Soc. (B), Applied Statistics, Vol. 5, No. 3 (1956).
[4]
BAILEY, N. T. J., "Queuing for Medical Care," Applied Statistics, Vol. 3 (1954), p. 137.
[5]
BAILEY, N. T. J., "A Study of Queues and Appointment Systems in Hospital Outpatient Departments with Special Reference to Waiting Times," J. Royal Stat. Soc. (B), Vol. 14 (1952), p. 185.
[6]
BAILEY, N. T. J., "On Queuing Processes with Bulk Service," J. Royal Stat. Soc. (B), Vol. 16 (1954), pp. 80-87.
[7]
BEENHAKKER, H. L., "Multiple Correlation--A Technique for Prediction of Future Hospital Bed Needs," Operations Research, Vol. 2, No. 5 (1963).
[8]
BLUMBERG, M., "'DPP Concept' Helps Predict Bed Needs," The Modern Hospital, Vol. 97, No. 6 (1961), pp. 75-81.
[9]
DAS, R. S., "Service Gate Information and Prediction of Demand for Hospital Services," Opsearch (India), Vol. 1, No. 3 (1964), pp. 141-150.
[10]
DERMAN, C., "On Sequential Decisions and Markov Chains," Management Science, Vol. 9, No. 1 (1962), pp. 16-24.
[11]
DOWNTON, F., "Waiting Time in Bulk Service Queues," J. Royal Stat. Soc. (B), Vol. 17 (1955), pp. 256-262.
[12]
FELDSTEIN, M., "Improving the Use of Hospital Maternity Beds," O. R. Q., Vol. 16, No. 1 (1965).
[13]
FELDSTEIN, P. J. AND GERMAN, J. J., "Predicting Hospital Utilization: An Evaluation of Three Approaches," Inquiry, Vol. 2, No. 1 (1965).
[14]
FETTER, R. AND THOMPSON, J., "Simulation of Hospital Systems," Operations Research, Vol. 3, No. 5 (1965), pp. 689-711.
[15]
FLAGLE, C. D., "The Problem of Organization for Hospital Inpatient Care," Management Sciences: Models and Techniques, Vol. II, Pergamon Press, N.Y., 1960.
[16]
FLAGLE, C. D., "Operations Research in the Health Services," O.R., Vol. 10, No. 5 (1962).
[17]
FLAGLE, C. D., "Operations Research in a Hospital," Operations Research and Systems Engineering, The Johns Hopkins Press, Baltimore, 1960.
[18]
FLAGLE, C. D. AND YOUNG, J. P., "Application of O.R. and I.E. to Problems of Health Service Hospitals and Public Health," J. of Ind. Engrg., Vol. 17, No. 11 (1966), pp. 609-613.
[19]
FLAGLE, C. D., HUGGINS, W. H. AND RAT, R. H., Operations Research and Systems Engineering, The Johns Hopkins Press, Baltimore, 1960.
[20]
FOSTER, F. G. AND NYUNT, K. M., "Queues with Batch Departures I," Ann. Math. Stat., Vol. 32 (1961), pp. 1324-1333.
[21]
FOSTER, F. G. AND NYUNT, K. M., "Queues with Batch Arrivals I," Acta Mathematica (Acad. Sci. Hungary), Vol. 12 (1961), pp. 1-10.
[22]
FOSTER, F. G. AND NYUNT, K. M., "Batched Queuing Processes," O.R., Vol. 12 (1964), pp. 441-449.
[23]
JACKSON, WELCH, AND FRY, "Appointments Systems in Hospitals and General Practice," O.R.Q., Vol. 15, No. 3 (1964).
[24]
JANSSON, B., "Choosing a Good Appointment System--A Study of Queues of the Type D/M/1," Operations Research, Vol. 14, No. 2 (1966), pp. 292-312.
[25]
JANSSON, B., "Choosing a Good Appointment System--A Study of Queues of the Type D/M/1," The Research Institute of National Defense, Sweden, FOAP Report No. A145, 1965.
[26]
LENZ, E., "Hospital Administration--One of a Species," Administrative Science Quarterly, Vol. 1 (1966), pp. 444-463.
[27]
LINDLEY, D. V., "The Theory of Queues with a Single Server," Proc. Cambridge Phil. Soc. 48 (1952).
[28]
MATTSON, H. W., "Future Hospitals," International Science and Technology, Vol. 56 (1966), pp. 30-37.
[29]
MILLER, R. G., JR., "A Contribution to the Theory of Bulk Queues," J. Royal Stat. Soc. (B), Vol. 21 (1959), pp. 320-337.
[30]
MORSE, P. M., Queues, Inventories and Maintenance, Wiley, 1957.
[31]
NEWELL, D. J., "Immediate Admissions to Hospital," Proceedings of the 3rd Int'l. Conference on O.R., Oslo, 1963, English Universities Press, 1964, pp. 224-233.
[32]
Nuffield Provincial Hospitals Trust, Studies in the Functions and Design of Hospitals, Oxford Univ. Press, London, 1955.
[33]
PARKER, R. D., Application of a Fixed Input Queue Doctoral Dissertation, Dept. of O.R., The Johns Hopkins University, 1965.
[34]
ROBINSON, G. H., "The Physician as an Estimator of Hospital Stay," Human Factors, Vol. 8, No. 3 (1966), pp. 201-208.
[35]
RYAN, R., "A Comparative Statistical Analysis of Selected Outpatient Clinics at USAF Hospital Scott, V.S.G.R.R., No. AD407996, p. 70.
[36]
SINGER, S., A Stochastic Model of Variation of Categories of Patients Within a Hospital, Doctoral Dissertation, The Johns Hopkins University, I. E. Dept., 1961.
[37]
SMALLEY, H. E., et al., "Hospital Bed Study," Hospital Management Systems Soc. Research Publ. No. 1 HMSS, University of Alabama, Birmingham, Ala., 1963.
[38]
SMALLEY, H. E. AND FREEMAN, J., Hospital Industrial Engineering: A Guide to the Improvement of Hospital Management Systems, Reinhold Publ. Co., 1966.
[39]
SORIANO, A., "On the Problem of Batch Arrivals and Its Applications to a Scheduling Problem," Operations Research, Vol. 14, No. 3 (1966), pp. 398-408.
[40]
SORIANO, A., "Comparison of Two Scheduling Systems," Operations Research, Vol. 14, No. 3 (1966), pp. 388-397.
[41]
SORIANO, A., On the Problem of Batch Arrivals and Its Application to a Scheduling System, Doctoral Dissertation, Johns Hopkins Univ., 1962, and Queuing Theory Applied to the Analysis of Congestion in an Outpatient Department, Master's Thesis, 1960.
[42]
THOMPSON, J. D. AND FETTER, R. B., "The Economics of the Maternity Service," Yale J. Biology and Medicine, Vol. 36, No. 1 (1963).
[43]
THOMPSON, J. D. AND FETTER, R. B., "Use of Computer Simulation Techniques in Predicting Requirements for Maternity Facilities," Hospitals, J. of American Hospital Assn., Vol. 37, pp. 45-49 and 132.
[44]
THOMPSON, R. L., JR., "An Investigation of EDP Applications in USAF Hospitals," U.S.G.R.R., No. AD616362 (1965).
[45]
WELCH, J. D. AND BAILEY, N. T. J., "Appointment Systems iD Hospital Outpatient Departments," Lancet 1, 1952.
[46]
WILSON, H., "Automated Data Processing in a Modern Hospital," V.S.G.R.R., No. PB-166 461, 1962.
[47]
YOUNG, J. P., "Stabilization of Inpatient Bed Occupancy Through Control of Admissions," Hospitals, J. of American Hospital Assoc., Vol. 39, No. 19 (1965).
[48]
YOUNG, J. P., A Queuing Theory Approach to the Control of Hospital Inpatient Census, Doctoral Dissertation, The Johns Hopkins University, I. E. Dept, 1962.
[49]
YOUNG, J. P., "Administrative Control of Multiple Channel Queuing Systems with Parallel Input Streams," O.R., Vol. 14, No. 1 (1966).

Cited By

View all
  • (2021)Managing Advance Admission Requests for Obstetric CareINFORMS Journal on Computing10.1287/ijoc.2021.109334:2(1224-1239)Online publication date: 10-Nov-2021
  • (2008)Agent-based patient admission scheduling in hospitalsProceedings of the 7th international joint conference on Autonomous agents and multiagent systems: industrial track10.5555/1402795.1402804(45-52)Online publication date: 12-May-2008
  • (1996)Reservation Planning for Elective Surgery Under Uncertain Demand for Emergency SurgeryManagement Science10.5555/2754221.275422342:3(321-334)Online publication date: 1-Mar-1996
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Management Science
Management Science  Volume 16, Issue 6
February 1970
156 pages

Publisher

INFORMS

Linthicum, MD, United States

Publication History

Published: 01 February 1970

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 22 Oct 2024

Other Metrics

Citations

Cited By

View all
  • (2021)Managing Advance Admission Requests for Obstetric CareINFORMS Journal on Computing10.1287/ijoc.2021.109334:2(1224-1239)Online publication date: 10-Nov-2021
  • (2008)Agent-based patient admission scheduling in hospitalsProceedings of the 7th international joint conference on Autonomous agents and multiagent systems: industrial track10.5555/1402795.1402804(45-52)Online publication date: 12-May-2008
  • (1996)Reservation Planning for Elective Surgery Under Uncertain Demand for Emergency SurgeryManagement Science10.5555/2754221.275422342:3(321-334)Online publication date: 1-Mar-1996
  • (1989)Markov Decision Processes with Sample Path ConstraintsOperations Research10.1287/opre.37.5.78037:5(780-790)Online publication date: 1-Oct-1989
  • (1989)Randomized and Past-Dependent Policies for Markov Decision Processes with Multiple ConstraintsOperations Research10.1287/opre.37.3.47437:3(474-477)Online publication date: 1-Jun-1989
  • (1985)Real Applications of Markov Decision ProcessesInterfaces10.1287/inte.15.6.7315:6(73-83)Online publication date: 1-Dec-1985
  • (1976)A Stochastic Model for an Optimal Priority Bed Distribution Problem in a Hospital WardOperations Research10.1287/opre.24.5.88424:5(884-898)Online publication date: 1-Oct-1976
  • (1976)Bibliography of Operations Research in Health-Care SystemsOperations Research10.1287/opre.24.5.80124:5(801-814)Online publication date: 1-Oct-1976
  • (1976)The GPSS Simulation of Scheduling Policies for Surgical PatientsManagement Science10.1287/mnsc.22.9.98222:9(982-989)Online publication date: 1-May-1976
  • (1974)A simulation model for evaluation and design of inpatient care facilitiesProceedings of the 7th conference on Winter simulation - Volume 110.1145/800287.811198(373-377)Online publication date: 1-Jan-1974
  • Show More Cited By

View Options

View options

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media