A mathematical model is presented that can be used to predict a library's circulation. (Author)

This paper considers estimation of parameters for a model currently being used to study the Illinois Interlibrary Loan Network (ILLINET) and presents a method for determining how much data should be collected and how it should be aggregated. Four classes of model parameters discussed: demands, probabilities of success, processing times, and…

A library network model is reviewed and a derivation is presented that requires fewer assumptions and allows more robust representations of library networks. (Author)

The performance of an interlibrary loan network is characterized by the probability of satisfying a request, delay in satisfying a request, total and unit costs, and processing load on each network member. In this article, a distributed queueing network is used to model this situation. (Author)

Queueing theory is used to model processes as either waiting or balking processes. The optimal allocation of resources to these processes is defined as that which maximizes the expected value of the decision-maker's utility function. (Author)

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…

Relatively recent developments, ranging from microfilm catalogs to networked circulation systems, have the potential of removing much of the uncertainty from the routing of interlibrary loan requests. The opportunity of purchasing location and availability information changes the performance of a model interlibrary loan network. Data collected in…

The inputs to mathematical models of library operations require periodic updating. The data collection effort necessary for such updating can be quite expensive; however, if the data collected can serve multiple purposes, the costs can perhaps be justified. A management information system (MIS) offers a vehicle for multiple uses of data, and thus…

Five models which perform search tasks of the Data Base Access and Search Environment (DBASE) are presented and used for comparison with subject search performance--unconstrained (rule-based, decision theoretic) and constrained (optimal rule-based, rule-based, probabilistic rule-based). Previous experiments and the modeling approach are briefly…

This case study describes the application of an analytical library network model to data collected during April 1977. Models are developed for describing the intralibrary processing activities encountered at each of the resource libraries in the study, and alternative routing policies for referring requests among resource libraries are analyzed. A…

A research project sponsored by the Illinois State Library had two goals: to develop a set of mathematical models suitable for predicting the impact of alternative library network policies on network preformance, and to demonstrate through series of case studies that the methodology developed could feasibly be applied to real library networking…

A mathematical model was used to consider alternative request routing policies for use in the Illinois Library and Information Network. Given data on interlibrary loan demands, the probability of request success, processing and delivery times for various libraries, and a network request routing policy, the model predicted the probability of…

Discusses the design of a model-based management information system in terms of mathematical/statistical, information processing, and human factors issues and presents a prototype system for interlibrary loan networks. (Author/CWM)

Progress on the development of a mathematical model and associated computer programs for use by the Illinois State Library in evaluation and planning of the interlibrary loan (ILL) network is summarized. Pertinent published literature on ILL networks is reviewed in terms of network structure, operations, satisfaction of requests, and costs. A flow…

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…