In many control systems changes in the dynamics occur unexpectedly or are applied by a controller as needed. The time at which a controller implements changes is not necessarily known a priori. For example, many manufacturing systems and flight operations have complicated control systems, and changes in the control systems may be automatically…

An allocation model is proposed for instructional systems which have instructional programs that can be structured in terms of behavioral objectives, instructional activities, and required achievement levels. The model assumes that the relevant characteristics of students and teachers are known and that the instructional resources needed for an…

Combines elements of the problem solving approach inherent in methods of applied economics and operations research and the structural-functional analysis common in social science modeling to develop an approach for economic planning and resource allocation for schools and other public sector organizations. (Author)

In this study of the economic process of education, individual activities regarding education are treated as a process of overtime resource allocation. The optimum plan for receiving education is investigated in terms of a mathematical model, and the demand for education is derived by examining the effects of changes in parameters on this optimum…

This paper summarizes a recent study of a mathematical approach to the allocation of State resources to local school districts. The purpose of this approach is to (1) assure the maximum utilization of resources available, (2) distribute State funds in accordance with the criteria of effectiveness imposed on the system, and (3) satisfy the…

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…

Resource optimization in building design is based on the total system over its expected useful life. Alternative environmental systems can be evaluated in terms of resource costs and goal effectiveness. (Author/MF)

Presents solutions for the problem of maximizing the generalizability coefficient under a budget constraint. Shows that the Cauchy-Schwarz inequality can be applied to derive optimal continuous solutions for the number of conditions of each facet. Illustrates the formal similarity between optimization problems in survey sampling and…

A method is presented for determining the optimal number of conditions to use in multivariate-multifacet generalizability designs when resource constraints are imposed. A decision maker can determine the number of observations needed to obtain the largest possible generalizability coefficient. The procedure easily applies to the univariate case.…

This comparative study is broadly divided into two parts. The first presents a simple approximate internationally data-based university overall mathematical resource model derived from an original analysis of a 15-university international sample from the CERI (Center for Educational Research and Innovation) 1968/1969 Information Survey. It…

This monograph provides a theoretical substantiation for benefit-cost analysis and cost-effectiveness analysis in school system planning. Nine examples of decision-making situations are presented. A simple case of a single objective to be attained with one plan being selected from a set of proposed plans with no resource constraints evolves into a…

The interests of economists in educational systems have taken two directions: (1) Concern for the interchange of resources between educational systems and the national economy, and (2) an interest in the production of education. In expressing the resource interchange, economists rely on the language of productivity. Of concern is the global…

A mathematical model, using the vector maximization technique, is developed to study the underlying structure of a set of cost/benefit alternatives. (Author)

Expertise in the technical aspects of planning and a keen appreciation of the social factors involved are not, in themselves, sufficient for satisfactory educational planning. The plan will still not be feasible unless there is attention to a third group of factors called "practical issues", "organizational features", or…

Production function applications to improve the efficiency of educational programs require identification of inputs and outputs and the establishment of a data bank to provide information on input and output variables. This generalizable input identification model organizes inputs for systems analysis at various levels of inputs and provides a…