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Library Book Circulation and the Beta-Binomial Distribution.
Peer reviewed Peer reviewed
Gelman, E.; Sichel, H. S. – Journal of the American Society for Information Science, 1987
Argues that library book circulation is a binomial rather than a Poisson process, and that individual book popularities are continuous beta distributions. Three examples demonstrate the superiority of beta over negative binomial distribution, and it is suggested that a bivariate-binomial process would be helpful in predicting future book…
Descriptors: Library Circulation, Library Statistics, Mathematical Models, Operations Research
Tutorial: Mathematical Modeling of Library Systems.
Peer reviewed Peer reviewed
Rouse, William B. – Journal of the American Society for Information Science, 1979
Discusses the purpose of mathematical models and reviews the phases of the modeling process--defining performance, representing the problem, predicting performance, estimating parameters, defining optimization criterion, determining solution, and implementing results. Reviews of book-use, resource allocation, and library network models are…
Descriptors: Libraries, Library Circulation, Library Networks, Mathematical Models
Cost Analysis of Public Libraries in Australia.
Karunaratne, N. D.; And Others – 1976
This is a study on the operating efficiency of the public library system in Australia. Cost functions have been fitted to library data and the results are interpreted with a view to generating insights into the functioning of the existing library system. An exploratory cost benefit analysis has also been attempted. Activities of libraries have…
Descriptors: Cost Effectiveness, Decision Making, Efficiency, Library Administration
Analysis of Service and Development of Performance Measurements for State of Hawaii Libraries. Volume IV: Results of Measurements Conducted in Selected Public Libraries in Hawaii.
Survey and Marketing Services, Inc., Honolulu, HI. – 1977
Measurements of materials and library operations were carried out in five public libraries and an observation study of staff work was conducted in the Hawaii State Library. The goals of this phase of the larger state study included testing and modification of measures to ensure their applicability to public libraries in the state, and the…
Descriptors: Evaluation Criteria, Evaluation Methods, Library Administration, Library Circulation
Analysis of Service and Development of Performance Measurements for State of Hawaii Libraries. Volume V: Performance Measurements System Manual for State of Hawaii Libraries.
Survey and Marketing Services, Inc., Honolulu, HI. – 1977
The instructions provided for carrying out data collection and analysis procedures for library materials, services, and users include sampling techniques. Evaluation methodology is described for determining the probability of a user finding and obtaining a recently published book in a particular library, title and periodical availability, how a…
Descriptors: Administrator Guides, Evaluation Methods, Guides, Library Administration
A Mathematical Model of the Illinois Interlibrary Loan Network: Project Report Number 2.
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Rouse, William B.; And Others – 1975
The development of a mathematical model of the Illinois Library and Information Network (ILLINET) is described. Based on queueing network theory, the model predicts the probability of a request being satisfied, the average time from the initiation of a request to the receipt of the desired resources, the costs, and the processing loads. Using a…
Descriptors: Costs, Interlibrary Loans, Library Automation, Library Circulation