Understanding large-scale patterns in student course enrollment is a problem of great interest to university administrators and educational researchers. Yet important decisions are often made without a good quantitative framework of the process underlying student choices. We propose a probabilistic approach to modelling course enrollment…

The advent of integrated multidisciplinary research has given rise to some of the most important breakthroughs of our time, but has also set significant challenges to the current educational paradigm. Current academic education often limits cross-discipline discussion, depends on close-ended problems, and restricts utilization of interdisciplinary…

The Verhulst model can be used to forecast the sequence, which is characterized as non-monotone and fluctuant sequence or saturated S-form sequence. According to the situation of national enrollment scale of college, this paper forecasts the quantity of students taking entrance examination to college with a Verhulst model with remedy based on data…

A Markov process is used to project student enrollment for grades 1-12 for the school years 1971-1986. Absorbing Markov chain theory is used to estimate grade times, the time spent in each grade, and probabilities of eventual graduation or dropout for each grade level. (Author)

The procedure was to isolate the component variables and then to formulate the logical and mathematical rules governing their interaction. Students were classified by age, grade, and sex; also, their entry to, movement through, and graduation from the system were examined. (Author)

Simple continuity is applied with graph theory to generate a student flow model with multiple inputs and outputs. A graph of all semesters or nodes is laid out along with an input block for transfers in and an output block for transfers out. Arcs are connected from the zero node to the graduation node and these are placed in a time-forward…

Rather than studying the structural paths through which variables affect student persistence in education, this paper offers a reduced form model that focuses on precollege, demographic, and certain current achievement and financial aid variables. This approach does not specify structural paths, but it does have the advantage of requiring only…

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 Educational Simulation Model (ESM), developed by UNESCO, is designed for use at the national level for long range simulation of educational system fluctuations. The model is a set of equations which describe an educational program and the changes and flows in student enrollment in all the courses of an educational system. Thus the model is…

To measure industrial development in Taiwan, four variables were used: the index of industrial production, electricity consumed in kilowatt hours per capita, Gross National Product per capita, and the percentage of the active working force engaged in non-agricultural occupations. The primary objective of the study was to design a predicting model…

The cohort survival model for projecting school district enrollments is presented for use in local district short-term planning. The basic model, modifications, and sample worksheets are presented. To assist in the calculations of local enrollment projections, step-by-step procedures frequently refer to the sample worksheets. Local administrators…

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…

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…

Describes a mathematical programming model for determining the admissions policies necessary to produce optimal enrollment levels, given certain constraints on enrollment capacity and minimum and maximum admissions levels. The model is then used to analyze the possible consequences of the introduction of a summer term in Yale College. (Author)

In this report four models are formulated which forecast the enrollment and financial needs of students in higher education. The four models are: the undergraduate enrollment model, postbaccalaureate enrollment model, undergraduate student aid model, and postbaccalaureate student aid model. In addition to computing total financial needs, these…