Inland Counties Comprehensive Health Planning Council wished to estimate the psychiatric bed needs by type (such as state hospitals, board and care homes, etc.) in San Bernardino County from the distributions of patient arrivals and of lengths of stay. A statistical description of the system during 1973 was considered the first step toward estimating future bed needs. A computer simulation model using IBM's programming language General Purpose Simulation System (GPSS) was developed and was found to be unsatisfactory.
Theorems were then developed for a statistical model, seeking to predict future bed needs. The most convenient of these theorems states that under appropriate circumstances the average occupancy of a facility will be approximately equal to the product of (1) the average number of admissions per day and (2) the average length of stay in days. Generalizations of this theorem and the corresponding theorem for the variance of the number of occupants generated a model which predicted fairly accurately the occupancy of Ward B of San Bernardino County Hospital during the first six months of 1973. This statistical model is easily adaptable for changing conditions such as varying lengths of stay, decrease or increase in admissions, or changes in proportions of diagnoses.
","abstract_html":"<p>Inland Counties Comprehensive Health Planning Council wished to estimate the psychiatric bed needs by type (such as state hospitals, board and care homes, etc.) in San Bernardino County from the distributions of patient arrivals and of lengths of stay. A statistical description of the system during 1973 was considered the first step toward estimating future bed needs. A computer simulation model using IBM's programming language General Purpose Simulation System (GPSS) was developed and was found to be unsatisfactory.</p> <p>Theorems were then developed for a statistical model, seeking to predict future bed needs. The most convenient of these theorems states that under appropriate circumstances the average occupancy of a facility will be approximately equal to the product of (1) the average number of admissions per day and (2) the average length of stay in days. Generalizations of this theorem and the corresponding theorem for the variance of the number of occupants generated a model which predicted fairly accurately the occupancy of Ward B of San Bernardino County Hospital during the first six months of 1973. This statistical model is easily adaptable for changing conditions such as varying lengths of stay, decrease or increase in admissions, or changes in proportions of diagnoses.</p>","abstract_has_math":false,"creators":["Brenneman, Patricia A."],"institution":null,"degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":["Grenith J. Zimmerman","Ivan R. Neilsen","Jan W. Kuzma","Paul Y. Yahiku","Jere E. Chrispens"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1974,"date_issued":"1974-12-01T08:00:00Z","date_published":"1974-12-01T08:00:00Z","updated_at":"2026-07-24T02:54:01Z","subjects":["Biostatistics","Mathematics","Psychiatric and Mental Health","Vital and Health Statistics","Hospital Bed Capacity; Mental Health Services -- California"],"languages":["English"],"rights":["This title appears here courtesy of the author, who has granted Loma Linda University a limited, non-exclusive right to make this publication available to the public. The author retains all other copyrights."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsrepository.llu.edu/etd/1516","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Grenith J. Zimmerman","Ivan R. Neilsen","Jan W. Kuzma","Paul Y. Yahiku","Jere E. Chrispens"]},{"key":"dc:creator","label":"Author","values":["Brenneman, Patricia A."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Biostatistics","Mathematics","Psychiatric and Mental Health","Vital and Health Statistics","Hospital Bed Capacity; Mental Health Services -- California"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["This title appears here courtesy of the author, who has granted Loma Linda University a limited, non-exclusive right to make this publication available to the public. The author retains all other copyrights."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsrepository.llu.edu/etd/1516"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Inland Counties Comprehensive Health Planning Council wished to estimate the psychiatric bed needs by type (such as state hospitals, board and care homes, etc.) in San Bernardino County from the distributions of patient arrivals and of lengths of stay. A statistical description of the system during 1973 was considered the first step toward estimating future bed needs. A computer simulation model using IBM's programming language General Purpose Simulation System (GPSS) was developed and was found to be unsatisfactory.
Theorems were then developed for a statistical model, seeking to predict future bed needs. The most convenient of these theorems states that under appropriate circumstances the average occupancy of a facility will be approximately equal to the product of (1) the average number of admissions per day and (2) the average length of stay in days. Generalizations of this theorem and the corresponding theorem for the variance of the number of occupants generated a model which predicted fairly accurately the occupancy of Ward B of San Bernardino County Hospital during the first six months of 1973. This statistical model is easily adaptable for changing conditions such as varying lengths of stay, decrease or increase in admissions, or changes in proportions of diagnoses.
"]},{"key":"dc:title","label":"Title","values":["Models for Estimating Psychiatric Bed Needs"]}]}],"canonical_facts":{"dc:contributor":["Grenith J. Zimmerman","Ivan R. Neilsen","Jan W. Kuzma","Paul Y. Yahiku","Jere E. Chrispens"],"dc:creator":["Brenneman, Patricia A."],"dc:description.abstract":["Inland Counties Comprehensive Health Planning Council wished to estimate the psychiatric bed needs by type (such as state hospitals, board and care homes, etc.) in San Bernardino County from the distributions of patient arrivals and of lengths of stay. A statistical description of the system during 1973 was considered the first step toward estimating future bed needs. A computer simulation model using IBM's programming language General Purpose Simulation System (GPSS) was developed and was found to be unsatisfactory.
Theorems were then developed for a statistical model, seeking to predict future bed needs. The most convenient of these theorems states that under appropriate circumstances the average occupancy of a facility will be approximately equal to the product of (1) the average number of admissions per day and (2) the average length of stay in days. Generalizations of this theorem and the corresponding theorem for the variance of the number of occupants generated a model which predicted fairly accurately the occupancy of Ward B of San Bernardino County Hospital during the first six months of 1973. This statistical model is easily adaptable for changing conditions such as varying lengths of stay, decrease or increase in admissions, or changes in proportions of diagnoses.
"],"dc:identifier":["https://scholarsrepository.llu.edu/etd/1516"],"dc:language":["English"],"dc:rights":["This title appears here courtesy of the author, who has granted Loma Linda University a limited, non-exclusive right to make this publication available to the public. The author retains all other copyrights."],"dc:subject":["Biostatistics","Mathematics","Psychiatric and Mental Health","Vital and Health Statistics","Hospital Bed Capacity; Mental Health Services -- California"],"dc:title":["Models for Estimating Psychiatric Bed Needs"],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science (MS)"]},"updated_at":"2026-07-24T02:54:01Z"}