The paper examines a longitudinal model of a manpower system in which the demands for effective manpower are determined by the state of a finite Markov chain, and there are delays in training an adequate supply of effective manpower. An operational method of calculating optimal appointment policies is presented. This calculation can in turn be…

This mathematical programing model was developed to provide the State Board of Education with complete information for evaluating decisions about the efficient allocation of vocational education funds to local school districts. The model, based on a supply-demand criterion, was tested on a set of occupational training programs within a given Labor…

The rapid rate of technological development and the growing complexity of our society in recent years have renewed the awareness of the importance of higher education. The rapid expansion of the size of higher educational institutions as well as the increased demand for instructional quality emphasize the need for systematic and efficient resource…

The University of California considers the faculty/student ratio a principal determinant of quality. Requests made by the University for new faculty positions are based on the student/faculty ratios proposed by the University in its 5-year program for each campus. Given the forecasts of student enrollments, these proposed ratios determine the…

Reported are the results of a study designed to investigate and compare four cluster analytic procedures as potential methods for the analysis of educational data. A secondary objective was to determine whether or not there was some underlying multidimensional structure to a set of mathematics achievement data. The four clustering procedures (Ball…

Addressed to both librarians and systems analysts, this book attempts to apply the analytic methods of operations research and systems analysis to the operating problems of the library. The first part of the book discusses theoretical models with emphasis on the pattern of book use, on its change with time and on the problem of estimating and…

Mathematical model building for educational planning in this country has been heavily influenced by the USOE DYNAMOD Model, a computerized Markov-type or input-output model. However, the input-output method is structurally inadequate to reflect the true behavior of the educational system. To introduce some elements of decision making into the…

Appendix A is concerned with the characteristics of the user communities and of the information service centers as important factors in the representation of an information service system. The basic characteristics of both centers and communities include their number, size, geographic distribution, and scope of interest. These characteristics are…

The purpose of the Pilot Training Study is to produce tools with which to analyze the pilot training process of the Air Force in terms of the resources required to train pilots and the cost of pilot training. These tools allow examination of the training courses themselves, and also of the policy factors which drive the need for pilots. The tools…

This report considers a university faculty which is divided into k grades. The total size is to remain fixed, but the proportions in the grades may vary. The problem is to find control strategies which will bring about desired changes in these proportions. This report is confined to investigating what can be achieved by controlling the numbers of…

The first part of the teachers' guide for "Finding Models" briefly describes the mathematical background necessary for the student, lists the substantive areas touched on by the problems in the pamphlet, suggests classroom uses for the booklet, and gives background information for the individual chapters. The second part provides complete…

Human performance reliability for tasks in the time-space continuous domain is defined and a general mathematical model presented. The human performance measurement terms time-to-error and time-to-error-correction are defined. The model and measurement terms are tested using laboratory vigilance and manual control tasks. Error and error-correction…

This document methodically traces the development of the fundamental concepts of systems thinking in education from Harbert to contemporary innovators. The discussion explains narrative models, concentrating on educational flowcharting techniques and mathematical models related to developments in engineering and physical science. The presentation…

Generally, ratings have notoriously low inter-rater reliabilities. Because of differences in orientation, background, and expectations, ratings are seldom made from the same point of reference; thus, many types of error mask the true rating variance. Guilford's technique identified most types of constant error by analysis of variance and then…

The applicability of a mathematical theorem designed to trace causality of a three-variable path that consists of an initial cause variable, an intermediate variable, and a final-effect variable with control over other system variables is evaluated. The formula was used with a horizontal rather than a normal distribution, as had been done in an…