A MATHEMATICAL PROGRAMMING MODEL FOR FACULTY COURSE ASSIGNMENTS

This paper describes an integer programming model that we believe has advantages over other models for determining faculty teaching assignments. Unlike previously proposed models, in this model the decision variables represent the assignment of complete teaching schedules rather than courses to faculty members. The paper compares the proposed model with previous models for application in an academic department.     

ENROLLMENT FORECASTING: USE OF A MULTIPLE-METHOD MODEL FOR PLANNING AND BUDGETING*

A multiple-method approach is presented for making enrollment projections at the departmental, school, and university level. The various methods utilized are based on the application of a cohort model (macro level) and regression techniques (micro level). The model demonstrates its flexibility in selecting one of a number of regression techniques according to a comparison approach using historical and projected results. This multiple-method approach has proved to be highly accurate and thus useful in allocating and redistributing resources to the operating units of a university. Previous efforts have relied almost solely on a single regression technique for projections and allocation purposes rather than a method based on a measure of flexibility, adaptability, and prediction confirmation.     

AN ADAPTIVE DECISION SUPPORT SYSTEM FOR ACADEMIC RESOURCE PLANNING

Institutions of higher learning are growing increasingly interested in the use of model-based approaches to their resource allocation problems. Recent modeling approaches, however, have failed to consider that resource allocation planning is not a well-structured decision process. Additionally, many decision makers are necessarily involved in the academic planning process and may assume dissimilar perspectives on the importance of achieving different goals and objectives. Furthermore, satisfactory allocation solutions can be expected to vary considerably from decision maker to decision maker as the individual's cognitive processes, perceptions, and evaluations are taken into consideration. This paper describes a decision support system (DSS) approach that attempts to adapt to a variety of academic decision makers with differing planning views in an environment of multiple conflicting objectives. This DSS, which was successfully tested on four academic decision makers in a large midwestern university, shows considerable promise for providing decision support to decision makers with varied problem-solving styles.     

A UNIVERSITY EXAMINATION-SCHEDULING MODEL TO MINIMIZE MULTIPLE-EXAMINATION DAYS FOR STUDENTS

Scheduling university examinations is often done with the objective of spreading a student's required examinations over an examination week. That is the equivalent of the problem of minimizing the number of examinations a student must take on any one day. An approach to scheduling exams which relates the problem to the classical assignment problem is discussed. The model developed is a symmetry-constrained assignment model, and the solution method requires use of a branch-and-bound algorithm. Results from application of the algorithm to six semesters of actual data are presented.     

THE TRADE DISCOUNT DECISION: A MARKOV CHAIN APPROACH*

Economic theory indicates that higher returns are required from investments that have higher risk. Two major reasons for offering trade discounts are to stimulate sales and to speed up cash receipts. Both sales increases and the earlier receipt of cash impact the risk/return characteristics of a firm. This study uses a Markov chain model to demonstrate how alternative trade credit policies impact the risk and required returns of a firm. The amount of risk and return per credit sale is calculated, and the coefficient of variation is used as a risk/return measure per credit sale. The study concludes that trade discounts can have a favorable impact on the risk/return characteristics of a firm, even in the absence of increased sales volume. Other discount decision factors which are either directly or indirectly determined in this paper include: (1) the average number of periods for which an account is outstanding, (2) the probability of collection and bad-debt losses over the average account period, (3) the average speed of payment, and (4) the average amount of cash tied up in accounts receivable.     

ONE APPROACH TO REALLOCATING INSTRUCTIONAL RESOURCES: THE HOUSTON MODEL

In this paper a model for deciding which instructional departments should receive and surrender new or reallocatable resources is developed. It combines a two-dimensional assessment of resource needs based on instructional characteristics and the academic priority of the department to arrive at resource allocation priorities. Unusual features of the model are its reliance on judgments of departmental centrality to institutional mission as the discriminating variable in ascribing academic priorities and the careful avoidance of “halo effects” through independent assessment of resource needs and academic priorities. The model is sensitive enough to discriminate between competing claims for scarce resources while retaining a simplicity of logic that makes its mechanics understandable to those with little grounding in the decision sciences.     

AN APPLICATION OF MATERIAL REQUIREMENTS PLANNING TO HIGHER EDUCATION

Material requirements planning (MRP), a comprehensive planning and control technique based upon the dependent demand principle, enables manufacturing organizations to provide better customer service, reduce inventory investment, and increase resource utilization. This paper extends the dependent demand principle to the service sector and thus provides the basis for applying MRP to higher education. In the short run, administrators can schedule the necessary number of required courses and load each course based on student priorities to provide increased customer (i.e., student) service and faculty utilization. In the long run, course enrollment forecasts can be utilized by administrators to plan and control changes in faculty resources across departments and schools.     

Education DEVELOPMENT AND VALIDATION OF A TOOL FOR ASSIGNING STUDENTS TO GROUPS FOR CLASS PROJECTS*

Group project work is an integral part of many university courses. Assigning students to project groups can be difficult because of the students' diverse backgrounds. Many instructors therefore decide not to assign group projects. This paper develops and validates an instrument that assigns both experienced and inexperienced students to different project groups, thereby creating a balanced, fair environment. The instrument is checked for reliability and validity and then is used to assign students to different project groups. Based on group performance, the end-of-the-semester results also are provided. Path analysis is used to test a causal model. Conclusions and implications for future research are presented.     

A MODELING SYSTEM FOR HIGHER EDUCATION

This paper describes a new class of modeling systems for planning and management in higher education. Such systems have been developed in response to the growing need for models that can be individually tailored to the user institution; they are designed also to minimize the burden of data collection and the need for costly in-house expertise that characterized earlier large-scale models. In addition to presenting the basic design concepts of such modeling systems, this paper will discuss a variety of managerial applications for which one such modeling system has been used.     

A SIMULTANEOUS PLANNING MODEL FOR PRODUCTION AND WORKING CAPITAL*

A simultaneous model is proposed for the planning of production, inventory, workforce, and working capital levels over several periods. By exploiting the capabilities of linear programming, the model provides relevant information more efficiently than would be typical of the more traditional approach, in which planning is decomposed along functional lines. A detailed example is presented in order to illustrate the advantages of the simultaneous model.     

A MODEL FOR THE PREDICTION OF JUROR DECISIONS*

A logit model approach designed to assign a probability whether prospective jurors will favor the defendant or plaintiff in a case, as a function of perceived individual juror characteristics, is described in the context of a case situation. The model, which has been programmed on a hand-held computer, is designed for implementation in courtroom settings to help defense attorneys evaluate and select jurors in order to minimize the likelihood of large jury awards. Empirical tests of the model are also described.     

A PENSION DECISION MODEL FOR THE EMPLOYER*

Recently, the Financial Accounting Standards Board (FASB) reevaluated accounting for pension plans. The issue is emotional and highly political in nature. The FASB attempted to justify its approach on the basis of measuring economic activity, but it failed to provide much in the way of analytical support. This paper provides a managerial decision model and an economic basis for the existence of pension plans. A pension plan is described as a cost-saving, risk-sharing, incentive contract. The analysis is developed using agency theory. The model presented here meets three suggested objectives of an employer: 1. Maximization of utility through the maximization of profit 2. Ability to conform the risk characteristics of an employment contract to the risk characteristics of the employer 3. Diversification of the risk inherent in the employment contract Profit is maximized by producing cost savings associated with employee tenure and loyalty. Sharing cost savings with employees (i.e., offering a pension plan) meets the above objectives. The employer determines the optimal sharing rate for the expected cost savings. An examination of the employer's underlying decision process reveals implications for pension plan accounting which generally are consistent with and support the FASB's Statement of Financial Accounting Standards No. 87 [5].     

AN ANALYSIS OF CAPACITY PLANNING PROCEDURES FOR A MATERIAL REQUIREMENTS PLANNING SYSTEM*

This paper is concerned with planning work-center capacity levels in manufacturing firms that employ a material requirements planning (MRP) system. It presents four procedures for developing work-center capacity plans designed to insure the production of components and assemblies as specified by the MRP plan and the master production schedule (MPS). These procedures (capacity planning using overall factors, capacity bills, resource profiles, and capacity requirements planning) are compared using simulation analysis. The results indicate that the performance of a procedure when measured against the MPS depends on the operating conditions of the manufacturing system. The results also indicate that the choice of a particular procedure often represents a compromise among the benefits of improved MPS performance, the costs of preparing and processing data, and the premium expenses required for more frequent adjustments in work-center capacity levels.     

COGNITIVE STYLE AND THE USEFULNESS OF INFORMATION*

The desirability of a merger/acquisition alternative depends in part on the perceptions of the decision maker. What sources of information are “useful” to the decision maker & Does the set of useful information remain constant for all decision makers; if not, do individuals using similar information sets have similar information processing characteristics? Do these sets vary as feedback is obtained during the decision process? To answer these questions, graduate students participated in a modified Delphi experiment, and the resulting data were analyzed by the two-way aligned-ranks nonparametric test. These test results affirm that in a merger/acquisition scenario, decision makers with different cognitive styles prefer different sets of information and these sets vary dynamically as feedback is incorporated in the decision-making process. Furthermore, information that contains worker and community welfare considerations is identified as “useful” five times more frequently by decision makers with a “feeling” cognitive style than those with a “thinking” style.     

A CONJUNCTIVE-COMPENSATORY APPROACH TO THE SELF-EXPLICATION OF MULTIATTRIBUTED PREFERENCES*

Consumer choice among multiattributed products is modeled as a two-stage process in which a conjunctive stage (that eliminates products with one or more “totally unacceptable” attribute levels) is followed by a compensatory stage (that trades off remaining products on multiple attributes). A self-explicated preference measurement procedure based on the two-stage model yielded a slightly larger predictive validity compared to conjoint analysis.     

MODELING THE ALLOCATION OF GRADUATE STUDENT FINANCIAL AID

Universities have always competed with one another for the relatively small number of highly qualified students interested in graduate education. This competition has been intensified recently by adverse demographic trends. This paper is concerned with the use of financial aid awards as a means of competition and with allocation of awards so that enrollments are maximized while satisfying academic standards and budget constraints. It also considers the randomness of actual aid disbursements and develops models of incremental aid allocation that increase enrollments but are within tolerance levels for budget overruns.     

ALLOCATE: A COMPUTER MODEL FOR SALES TERRITORY PLANNING

Recent years have witnessed a renewal of interest in the application of management science techniques to personal selling related problems. Some early applications are described in [2] [7]. Cloonan has employed simulation in examination of the salesman routing problem [3] [4]. Lodish, in CALLPLAN, has devised an interactive call planning system designed to assist sales management and/or salesmen in allocating sales call time more efficiently [6]. Armstrong has devised a system he labels SCHEDULE which estimates the value of calls on accounts [1]. Hess and Samuels have designed a computer based sales districting model which is an analogue of a legislative apportionment model [5]. The objective of this paper is to explore the nature of a call planning system entitled ALLOCATE. ALLOCATE was designed to be employed by upper sales management either as an input device for sales management decisions such as sales-territory-size, or as a vehicle for determining the effects of alternative call allocation strategies on territorial revenue over multiple time periods.     

MANAGEMENT OF COLLEGE STUDENT RECRUITING ACTIVITIES USING GOAL PROGRAMMING*

A shrinking pool of potential students, due to a declining birthrate as well as uncertain economic times, is creating the need for more effective recruiting of college students. One approach using a goal programming model has been developed and is currently being used to manage recruitment activities in a small four-year college in Nebraska. The model identifies both the type and number of activities that must be completed each quarter in order to reach an enrollment goal for a given year. Factors such as budget, time, manpower, and marketing strategies are highlighted in the model. The results of the goal programming model encouraged more field activities in the first two quarters with emphasis on new-candidate identification. The third-quarter recruiting strategy is more balanced while the fourth-quarter emphasis is placed on follow-up activities that occur chiefly in the office. Use of this model will enable recruiters to meet enrollments while managing recruiting resources and activities in order to remain within the recruiting budget.     

COMPUTER GRAPHICS AS DECISION AIDS: DIRECTIONS FOR RESEARCH*

Computer-generated graphics are becoming increasingly available to decision makers. Despite claims on the part of vendors that the use of graphics will improve decision speed and quality over traditional methods of data display, the available evidence is far from supportive. Initial studies show graphics to be no more effective in communicating information than tables. Correct interpretation of graphical displays appears to require training, which most users lack. Furthermore, there is evidence that those features that make a graph visually attractive—such as color, design complexity, and realism—may actually detract from accurate comprehension. This paper summarizes the literature dealing with the human use of graphics, develops several propositions based on persistent trends in the literature, and suggests directions for future research.     

A LARGE-SCALE PERSONNEL ASSIGNMENT MODEL FOR THE NAVY*

The U.S. Navy has been trying for years to develop a model to automate its personnel assignment process The requirement of rotating navy personnel frequently between sea duty and shore duty in accordance with multiple policies makes modeling efforts difficult. However, without a model to optimize assignments with regard to multiple policies, navy managers do not know the real impact of personnel assignments. This limits their ability to make effective decisions. This paper summarizes our effort to develop a large-scale network model for the navy's assignment problem. The navy has accepted this model for implementation, replacing the current manual assignment process. The approach in this paper can be generalized to a wide variety of perosnnel assignment problems.