With the rise in popularity of social media and e-commerce platforms, "discrete math" is at the heart of our online experiences, playing a front-end role in the recommendation of what to click, watch, or buy, or who to follow or friend, as well as a back-end role in data storage, access, and transfer. This thesis focuses on two such…

In recent years, artificial intelligence applications for understanding the human thinking process and transferring it to virtual environments come into prominence. The fuzzy logic which paves the way for modeling human behaviors and expressing even vague concepts mathematically, and is also regarded as an artificial intelligence technique has…

The allocation of merit-based financial aid during the college admissions process presents postsecondary institutions with complex and financially expensive decisions. This article describes the application of linear programming as a decision tool in merit based financial aid decisions at a medium size private university. The objective defined for…

European cooperation is a relevant subject that contributes to building a competitive network of high education institutions. A case of teacher mobility on behalf of the Erasmus programme is presented: it considers some Operations Research topics and the development of the Lego on My Decision module. The module considers eight lecture hours in…

In many practical situations scaling the data is necessary to solve linear programs. This note explores the relationships in translating the sensitivity analysis between the original and the scaled problems.

Most decision problems are those in which a choice among multiple-objective alternatives must be made. The central difficulty of such decision problems lies in finding single decision criteria that combine the decisionmaker's objectives and interests in an acceptable way. In this paper, a general procedure for the construction of such single…

Contributes to a better understanding of operations research (OR) as it can be applied in educational research and planning. Following definitions of OR and educational planning, a brief overview of a general decision model used in OR studies is presented. (Author/DN)

As part of a project designed to construct a mathematical model of the operation of an academic library, a research team determined the usefulness of a quantitative approach to making decisions about the number of copies of each item that a university library should provide. Using the reserve collection of the University of Lancaster Library as a…

The true state of the system described here is characterized by a probability vector. At each stage of the system an action must be chosen from a finite set of actions. Each possible action yields an expected reward, transforms the system to a new state in accordance with a Markov transition matrix, and yields an observable outcome. The problem of…

This extension of Harris' classification system permits classification of the interval-scale properties of any 2 x 2 (two person, two choice) game. The system is compared to taxonomies developed by various previous researchers. It is shown to permit compact description of any 2 x 2 game as an octet of numbers. It also permits rapid classification…

Presents a model that relates Polya's ideas on problem solving to teaching practices that help create a mathematics learning environment in which students are actively involved in doing mathematics. Illustrates the model utilizing a high school geometry problem that asks students to measure the width of a river. (MDH)

Presents an activity to analyze the data from the Challenger explosion to help students understand the critical role of statistics in decision making and the importance of considering all available data. (MKR)

Describes the model for decision making used in inferential statistics and real-world applications that parallel the statistical model. Discusses two activities that ask students to write about a personal decision-making experience and create a mock trial in which the class makes the decision of guilt or innocence. (MDH)

Proceedings of the 1980 annual forum of the Association for Institutional Research (AIR) on the topics of meeting the challenges of the eighties by redirecting resources for renewal are presented. Contents include the following addresses: "Planning: An Adaptive Process," by Barbara S. Uehling; "Catastrophe Models in…

The authors describe an extension that has been made to and subsequently incorporated into the system known as Teacher Cost Models. This approach -- a dollar flow analysis -- identifies and quantifies the factors that contribute to dollar changes in the ON GRID teacher wage-bill from one year to the next. The methodology is applicable at both the…