This paper explains the concept of models, their construction, and their use. It is suggested that mathematics is a helpful tool in model construction, and that models in general are indispensable in science. Models identify variables and illustrate causal relationships among the variables. An attempt is made to classify models from the point of…

The model considered in this paper, the G.A.M.E. Educational Planning Model, provides a means of studying the interrelationships among education, manpower, and the economy. The model was originally constructed for use at the Training Seminar, Global Accounts for Manpower and Education (G.A.M.E.), held in Dublin, Ireland, September 4-20, 1967.…

Methods for planning technological innovations in education are expanded and applied to the problem of planning educational services for Botswana. (Author/WM)

This paper addresses one element of the educational planning process -- the objectives to be attained as a result of the implementation. The authors first discuss objectives in the context of planning in general and the relationship of planning to the process of education. Within this context, the need for goal analysis is identified. Next, there…

This paper explores the application of a mathematical optimization model to the problem of optimal enrollments. The general model, which can be applied to any institution, seeks to enroll the "best" class of students (as defined by the institution) subject to constraints imposed on the institution (e.g., capacity, quality). Topics…

THE PARTICULAR CHARACTERISTICS OF EDUCATION AS AN ECONOMIC GOOD ARE EXAMINED. THE LITERATURE ON THE ECONOMIC VALUE OF EDUCATION, THE DIFFERENT APPROACHES TO EDUCATIONAL PLANNING, AND THE MATHEMATICAL MODELS PROPOSED FOR THIS PURPOSE ARE ANALYZED. THESE APPROACHES ARE SYNTHESIZED TO OBTAIN A COMPREHENSIVE ESTIMATE OF THE DEMAND FOR EDUCATION. THE…

The purpose of the paper is to define for potential users of vocational education management information systems a quantitative analysis technique and its utilization to facilitate more effective planning of vocational education programs. Defining linear programming (LP) as a management technique used to solve complex resource allocation problems…

The general solution to the problem of calculating school enrollments at time (t-1) necessary to meet predetermined graduation or manpower targets at time (t) is derived and examined. The solution, which is obtained by minimizing the squared discrepancy between the given graduations and those predicted by the enrollments, requires the unique…

Simulation models predicting resource requirements in higher education are compared (two developed in North American with two from Europe). They reveal a similar logic of relating student teaching loads to college and university resource requirements, but differences of educational program needs produce differing emphases. (JT)

Presents trend projection models that address four problems--dramatic growth, modest growth, gradual decline, and precipitous decline. Each model approximates a linear trend over short time intervals. The models employ very elementary mathematics to produce forecasts of high accuracy. (Author/IRT)

Mathematical modeling has gained prominence as a means of improving educational planning. One often-used model is the Markovian Model. It is shown that education, being hierarchical, is amenable to Markov-type analysis. Some consequences of the model and some results of its application in Nigeria are noted. (Author/MP)

Mathematical models can assist educators in the preparation of their educational plans. Administrators and planners of educational systems have found that their ad hoc procedures are no longer adequate to take into account the many variables impinging on their environment. Examines the potential of the Markov Chain, one model capable of predicting…

Theoretical and research literature on learner, program, and adaptive control as forms of instructional management are critiqued in reference to the design of computer-based instruction. An adaptive control strategy using an online, iterative algorithmic model is proposed. (RAO)

This text provides educational administrators with a working knowledge of the problem-solving techniques of PERT (planning, evaluation, and review technique), Linear Programming, Queueing Theory, and Simulation. The text includes an introduction to decision-making and operations research, four chapters consisting of indepth explanations of each…

Linear programming models are used in an attempt to answer the question of whether more or better schools should be developed. The criterion function is the maximization of the product of education, measured either in income or school years. The model is varied throughout the paper by confronting the criterion function with a variety of…