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On Hamiltonian Graphs And Perfect Matchings, Daniel Solow May 1978

On Hamiltonian Graphs And Perfect Matchings, Daniel Solow

Research Reports from the Department of Operations

The main theorem gives necessary and sufficient conditions for graphs having an even number of vertices to be Hamiltonian in terms of its perfect matchings. This result can be used to determine that certain graphs are not Hamiltonian because they do not contain a perfect matching. A sufficient condition for a graph on an odd number of vertices to be Hamiltonian is also presented.


A Survey Of Static Job Shop Scheduling Theory, Hamilton Emmons Apr 1978

A Survey Of Static Job Shop Scheduling Theory, Hamilton Emmons

Research Reports from the Department of Operations

This paper explores the current theoretical understanding of static job shop scheduling, focusing on assigning tasks to processors while optimizing objectives such as timing and sequence. Tasks, characterized by parameters like processing time and due dates, may form dependent groups (jobs) or remain independent. The study distinguishes job shop scheduling from broader scheduling fields such as production and manpower scheduling. Combinatorial challenges in this domain have been extensively studied, with optimal scheduling rules available for simpler cases, while complex problems often rely on computationally intensive algorithms. The paper outlines efficient algorithms with polynomial time complexity and highlights insights from complexity …


Paying Unemployment Compensation Taxes And Solving The Complete Set Partitioning Problem, Chien-Hua Lin, Harvey M. Salkin Feb 1978

Paying Unemployment Compensation Taxes And Solving The Complete Set Partitioning Problem, Chien-Hua Lin, Harvey M. Salkin

Research Reports from the Department of Operations

It is shown that under certain regulations specified by state law, there is an optimal way for a corporation to pay unemployment compensation taxes. The particular scenario is given along with the natural model which turns out to be a set partitioning problem having all possible nonzero binary columns in the constraint matrix. A highly specialized enumerative algorithm, which never requires the explicit maintenance of the model, is also presented. Computational results and their impact, reflecting recent data from several Ohio based corporations, are listed.


A Natural Gas Purchasing And Storage Model Under Uncertainty In Demand, Reuven R. Levary, Burton V. Dean Jan 1978

A Natural Gas Purchasing And Storage Model Under Uncertainty In Demand, Reuven R. Levary, Burton V. Dean

Research Reports from the Department of Operations

Storage and purchasing policies that minimize expected shortages of natural gas in the service area supplied by a single natural gas utility are developed. The problem is formulated and solved using a multi-period linear programming model. The model takes into consideration the variability of weather conditions and its effect on the demand for natural gas. Forecasts of future weather conditions are updated several times during the model planning periods; also, the optimal flows of natural gas are determined at the time that the forecasts are updated. The optimal storage quantities at the beginning of each time period and the consequences …


Final Report To Develop And Apply Management Techniques For Use In The Improvement Of The University Research Administration Function, Burton V. Dean Nov 1977

Final Report To Develop And Apply Management Techniques For Use In The Improvement Of The University Research Administration Function, Burton V. Dean

Research Reports from the Department of Operations

The major objectives of this study were (1) to design and implement an improved system for use in research administration at Case Western Reserve University (CWRU), and (2) to organize and to disseminate to other universities those concepts and solutions found useful by CWRU. The project was performed in four phases: (1) a detailed description of the total research administration system at CWRU, (2) detailed problem analyses, (3) development of a proposal for implementation, and (4) implementation and evaluation of the results of the study. In Phase I, a systems description of the research administration process was performed. Methods and …


Finding The General Solution Of A Linear Diophantine Equation, Susumu Morito, Harvey M. Salkin Sep 1977

Finding The General Solution Of A Linear Diophantine Equation, Susumu Morito, Harvey M. Salkin

Research Reports from the Department of Operations

A new procedure for finding the general solution of a linear diophantine equation is given. As a byproduct, the algorithm finds the greatest common divisor (gcd) of a set of integers. Related results and discussion concerning existing procedures, are also given.


Dental Management Game Administrator's Manual, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green Aug 1977

Dental Management Game Administrator's Manual, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green

Research Reports from the Department of Operations

This paper discusses progress on the development of a computer aided game to teach various management skills to dental students as well as to dental practitioners. The game first deals with the decisions concerning the establishment of a practice, e. g., preferences regarding location, the form (solo, associate or group) of practice, staff patterns and salaries, purchasing of facilities, etc. Next considered are decisions which must be made daily, e. g., patient and worker scheduling, control of supplies, etc. Performance is evaluated in terms of income, costs, care delivered, patient waiting time and personnel utilization.


Planning A Dental Practice With A Management Game, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green Aug 1977

Planning A Dental Practice With A Management Game, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green

Research Reports from the Department of Operations

This paper describes how a dentist can use a new management tool, a computerized dental practice management game, to plan his or her own practice. After reviewing factors to be considered in planning a dental practice, we briefly describe the game with special emphasis on what it can and cannot do. After identifying the information required to make such an exercise useful in planning a specific practice, an example is given which shows how the game can be so used.


Analysis Of Zero-Base Budgeting Models And Practices, Ardeshir Lohrasbi Jun 1977

Analysis Of Zero-Base Budgeting Models And Practices, Ardeshir Lohrasbi

Research Reports from the Department of Operations

The purpose of this thesis study is to present an example of how Zero-Base Budgeting techniques can be used effectively in a firm's budgeting system. Specific forms and procedures are presented. The example used in this study is the Babcock and Wilcox Company, which has had experience with Zero-Base Budgeting. The thesis presents single level and multi-level models for use in ZBB in an organizational context.


Forest City/University Hospitals Telemedicine System Project Evaluation: Final Report, Arnold Reisman, Burton V. Dean, Bruce L. Austin, M.A. Chowdhury, Pauline Crawford, Ronella Fields, Willie Callaham Lambright, Marylou Kiley, H. Halliday, F. J. Staub, W. Pittard Jun 1977

Forest City/University Hospitals Telemedicine System Project Evaluation: Final Report, Arnold Reisman, Burton V. Dean, Bruce L. Austin, M.A. Chowdhury, Pauline Crawford, Ronella Fields, Willie Callaham Lambright, Marylou Kiley, H. Halliday, F. J. Staub, W. Pittard

Research Reports from the Department of Operations

This study examines the implementation and evaluation of the Cleveland Telemedicine Project, an initiative designed to address the maldistribution of medical personnel between University Hospitals of Case Western Reserve University (UH) and nearby hospitals, including Forest City Hospital (FCH), a small community hospital in Cleveland’s inner city. Through electronic communication links, Telemedicine facilitated specialist consultations between UH and FCH, enhancing healthcare delivery where travel or specialist availability was limited. The project involved collaboration between medical, administrative, and engineering personnel, and the system was continuously evaluated. The Operations Research team conducted a systems approach evaluation, focusing on input, process, and output …


Cost Effective Health Care Delivery An Illusion Or An Attainable Goal? Proceedings Of A Regional Symposium For Buyers, Providers, Planners, Educators, And Consumers, Arnold Reisman May 1977

Cost Effective Health Care Delivery An Illusion Or An Attainable Goal? Proceedings Of A Regional Symposium For Buyers, Providers, Planners, Educators, And Consumers, Arnold Reisman

Research Reports from the Department of Operations

This symposium had the following objectives: [1] To facilitate a dialogue among the various parties concerned with the delivery, administration, planning of and education or research in the delivery of health care services within the Northeast Ohio region. [2] To identify the issues of concern in the containment of costs of health care services. [3] To identify the issues of accessibility of quality services to larger segments of the community. [4] To formulate general and specific strategies for research necessary to provide quality care to wider segments of the community while containing total expenditures on health services. This symposium involved …


Generalized Isotone Optimization With Applications To Starshaped Functions, Vasant A. Ubhaya May 1977

Generalized Isotone Optimization With Applications To Starshaped Functions, Vasant A. Ubhaya

Research Reports from the Department of Operations

This article considers a smoothing or data fitting problem involving minimization of the distance from a function f to a convex cone of functions. A weighted uniform norm is considered as a measure of the distance. The domain of functions is a partially ordered set, and the convex cone is defined by isotonicity and nonnegativity conditions on functions. The problem has a linear programming formulation, however, explicit expressions for optimal solutions have been obtained directly, thereby eliminating the necessity of using linear programming techniques. The results are applied to approximation by starshaped functions.


Dental Management Game Player's Manual, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green Feb 1977

Dental Management Game Player's Manual, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green

Research Reports from the Department of Operations

This paper discusses progress on the development of a computer aided game to teach various management skills to dental students as well as to dental practitioners. The game first deals with the decisions concerning the establishment of a practice, e. g., preferences regarding location, the form (solo, associate or group) of practice, staff patterns and salaries, purchasing of facilities, etc. Next considered are decisions which must be made daily, e. g., patient and worker scheduling, control of supplies, etc. Performance is evaluated in terms of income, costs, care delivered, patient waiting time and personnel utilization.


Using The Blankenship Algorithm To Find The General Solution Of A Linear Diophantine Equation, Susumu Morito, Harvey M. Salkin Jan 1977

Using The Blankenship Algorithm To Find The General Solution Of A Linear Diophantine Equation, Susumu Morito, Harvey M. Salkin

Research Reports from the Department of Operations

This paper shows that the Blankenship algorithm, originally proposed to find the greatest common divisor of several integers and a solution of the associated linear diophantine equation, can be used to find the general solution of the equation. This yields a more efficient method to find the general solution than the one proposed by Bond. The modification of Blankenship's algorithm to avoid generating vectors with huge component values is also proposed.


Young Scientists Characteristics And The Peer Review Process, Burton V. Dean Jan 1977

Young Scientists Characteristics And The Peer Review Process, Burton V. Dean

Research Reports from the Department of Operations

This study investigates challenges faced by young scientists in academia, focusing on creativity loss in U.S. scientific endeavors and the National Science Foundation's (NSF) peer review process. Objectives include mapping education and career trajectories of Ph.D. scientists, analyzing age distribution, and examining factors influencing the supply, demand, and mobility of scientists. Key findings reveal a projected surplus of doctoral scientists, aging faculty demographics limiting innovation, and NSF-funded principal investigators being older and more senior than average. The peer review process is seen as unfavorable to innovative proposals from young scientists, with institutional and individual barriers reducing their NSF submissions. Recommendations …


On Designing And Implementing A Dental Practice Management Game, Susumu Morito, Arnold Reisman, Hamilton Emmons, Juan Rivaud Jan 1977

On Designing And Implementing A Dental Practice Management Game, Susumu Morito, Arnold Reisman, Hamilton Emmons, Juan Rivaud

Research Reports from the Department of Operations

This paper describes the structure of an interactive dental practice management game, with special emphasis on its design and computer implementation. The game covers a wide spectrum of management decisions in setting up and in running a dental practice. The decisions considered include practice location, the form of practice, staffing mix and salaries, and the purchasing or leasing of equipment. The game also covers major daily, monthly, and yearly decisions, including forecasting patient load, economic analysis, and scheduling of patients, workers, and operatories. As three levels of decisions (daily, monthly, yearly) are considered, the game has a multi-level structure. The …


Methodology For Selection Of Industrial Plants For Rural Communities, Dan Yaron, A. Cooper, E. Fogel, Arnold Reisman Jan 1977

Methodology For Selection Of Industrial Plants For Rural Communities, Dan Yaron, A. Cooper, E. Fogel, Arnold Reisman

Research Reports from the Department of Operations

The paper presents a methodology designed for the selection of industrial plants for rural communities. The problem is formulated within the framework of systems analysis with the numerous systems elements and the links between them properly identified and pointed out. The paper discusses the overall methodology as a whole, however, special emphasis is laid upon the evaluation of the socio-economic preferences with respect to industrial plants. The Israeli kibbutz communal settlements provided the empirical background for the study and field testing of the methodology. At the same time, the methodology, with proper modifications, can be adopted to any rural community …


Guidelines For Entering Data In Cama-Key-Encoding Sheets, Teunis J. Ott, Radhakrishna Murty Gajjala Dec 1976

Guidelines For Entering Data In Cama-Key-Encoding Sheets, Teunis J. Ott, Radhakrishna Murty Gajjala

Research Reports from the Department of Operations

A key-encoding sheet has been designed for collecting raw data for subsequent card punching. This report consists of guidelines to correctly identify source data and transcribe the same on that key-encoding sheet. Location of source data has been categorized for convenience and is given against each field of the key encoding sheet. Also specifications are given on how to enter data on the key-encoding sheet.


A Two-Stage Approach For Geographic Effects In Cama Systems, Teunis J. Ott Nov 1976

A Two-Stage Approach For Geographic Effects In Cama Systems, Teunis J. Ott

Research Reports from the Department of Operations

A methodology is developed for the second stage of a Computer-Assisted Mass Appraisal System, which corrects the estimated assessed values of properties for their location. Recent sales close to the parcel in question are given heavier weight than other sales. The methodology is based on constructing a response surface, where the optimal response surface minimizes a weighted average of the sum of squared residuals and a quantity that represents the smoothness of the response surface. An algorithm, for which convergence has been proven, is provided for finding the optimal response surface.


Operations Research In The Far East, Leon S. Lasdon Oct 1976

Operations Research In The Far East, Leon S. Lasdon

Research Reports from the Department of Operations

This paper contains information obtained during my lecture tour of the Far East, June 1 - July 15, 1976. The tour was sponsored by the Office of Naval Research, with the objective of information. exchange. I visited universities and industry in Japan, Taiwan, Hong Kong, the Philippines, and Singapore, lecturing on a variety of operations research topics, mostly involving optimization applications, algorithms, and software. The presentation is chronological, giving my recollections of each day's discussions at the various institutions visited. Any inaccuracies are due entirely to me. For those seeking additional information, a list of addresses of persons referred to …


On Setting Up A Dental Practice With Efda's, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green Sep 1976

On Setting Up A Dental Practice With Efda's, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green

Research Reports from the Department of Operations

This chapter examines the impact of Expanded Function Dental Auxiliaries (EFDA) on dental practice management, focusing on productivity and profitability. Various practice configurations with EFDA integration are compared to conventional setups, demonstrating that EFDA inclusion significantly reduces a dentist's workload, increases practice capacity, and enhances revenue and earnings. Tools and methodologies from Operations Research, such as patient load forecasting, scheduling, and economic analysis, are applied to assess these effects. A novel tool, the Dental Practice Management Game, is introduced, utilizing computer simulations to analyze complex practice scenarios without requiring specialized knowledge of Operations Research techniques. The analysis explores two key …


Dental Practice Management Game: A New Tool For Teaching Practice Management, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green, Ashok Chowdhury Sep 1976

Dental Practice Management Game: A New Tool For Teaching Practice Management, Arnold Reisman, Hamilton Emmons, Susumu Morito, Juan Rivaud, Edward J. Green, Ashok Chowdhury

Research Reports from the Department of Operations

This paper describes the structure of a dental practice management game. The game covers a wide spectrum of management decisions involved in setting up and running a dental practice. The decisions considered include practice location, form of practice, staffing mix and salaries, and the purchasing or leasing of equipment. The game also covers major daily, monthly, and yearly decisions, including forecasting patient load, economic analysis, and scheduling of patients, workers, and operatories.


Infinite Divisibility Of Finite Semi-Markov Matrices, Teunis J. Ott Sep 1976

Infinite Divisibility Of Finite Semi-Markov Matrices, Teunis J. Ott

Research Reports from the Department of Operations

The theory of infinitely divisible semi-Markov matrices is a generalization of both the theory of infinitely divisible probability distributions on the real line, and the theory of infinitely divisible Markov matrices. One of the results in this paper is that the imbeddability in a continuous semigroup of transition kernels extends from infinitely divisible distribution functions and infinitely divisible Markov matrices to infinitely divisible semi-Markov matrices.


Design And Development Of A Faculty Research Profile Information System (Rpis) At Case Western Reserve University, Burton V. Dean, David E. Williams Jul 1976

Design And Development Of A Faculty Research Profile Information System (Rpis) At Case Western Reserve University, Burton V. Dean, David E. Williams

Research Reports from the Department of Operations

The design and development phase of a computerized faculty research profile information system (RPIS) at Case Western Reserve University is documented in detail. The events leading up to the decision to develop such a system are summarized as well. Presented as documentation are a systems analysis, identification of data elements, user's manual, implementation proposal and budget, a copy of the faculty questionnaire to be used and supporting exhibits. The role of each organization involved in implementing RPIS and the means to be utilized for evaluating the system's performance are discussed.


Testing Admission Policy In The Intensive Care Unit Of Forest City Hospital, Chibamba Mulenga Jul 1976

Testing Admission Policy In The Intensive Care Unit Of Forest City Hospital, Chibamba Mulenga

Research Reports from the Department of Operations

Between 1972 and 1975 mortality rate in the Intensive Care Unit (ICU) of Forest City Hospital in Cleveland, Ohio, showed a noticeable decline. While this decline could have been due to factors beyond the control of Forest City Hospital, it was decided to determine, on the basis of data obtained from patients who were admitted into the ICU during this period, whether admission policy in the ICU had changed or had not changed in the years 1972 through 1975.The purpose of this paper is to test the hypothesis that admission policy in the ICU had not changed against the alternative …


Interpersonal Communication : Some Quantitative Models, John J. Rasmussen Jun 1976

Interpersonal Communication : Some Quantitative Models, John J. Rasmussen

Research Reports from the Department of Operations

Interpersonal communication, or the sending and receiving of messages between two individuals, can be characterized by various degrees of certainty, consistency, and patterning. One's prior experiences can often affect current perceptions and attitudes. Furthermore, the various aspects of the personalities of the communicants can significantly influence whether the outcome of the communication sequence will be successful and mutually understood, or will be unsuccessful and misunderstood. This dissertation presents several models of the interpersonal communication process. These have been derived from such apparently divergent fields as mathematical communication theory, thermodynamics, behavioral science, and transactional analysis, and have been wedded into a …


Simulation Of Lamp Manufacturing: When To Shut Down, Davida Kahrl Steinbrink Jun 1976

Simulation Of Lamp Manufacturing: When To Shut Down, Davida Kahrl Steinbrink

Research Reports from the Department of Operations

This thesis analyzes the impact of progressive deterioration of lamp-making equipment on finished lamp cost and quantity. This analysis is accomplished by describing the total process as a sequence of Markov processes, for each of which the transitional probabilities have been defined. The expected behavior of this multi-stage process over the time period of interest is calculated by a Fortran computer program. Results of the analysis may be used by a shop foreman as a guide in determining when to shut down for repair or maintenance of equipment.


The Implementation Of Packaged Information Systems, Dean David Trilling Jun 1976

The Implementation Of Packaged Information Systems, Dean David Trilling

Research Reports from the Department of Operations

The packaged information system has become one of the most viable methods of quickly acquiring information handling capability. Users have realized significant cost savings by utilizing these vendor-supplied program sets. While most potential information system users have various alternatives at their disposal many have chosen package acquisition, because of the benefits users have derived from packages such as reduced implementation resource commitments and lead-times. However, potential package users have suffered greatly in their inability to effectively implement the system within their own operating environments. They have defeated their own objectives through misaligned implementation procedures and a lack of control and …


Measurement Of Health Change: A Model For Patients In An Adult Intensive Care Unit, Marylou Kiley Jun 1976

Measurement Of Health Change: A Model For Patients In An Adult Intensive Care Unit, Marylou Kiley

Research Reports from the Department of Operations

This study introduces an index for quantifying the health status and changes in patients within an adult intensive care unit (ICU), driven by the need to evaluate the impact of telemedicine on healthcare delivery. The ICU Patient Assessment Profile consists of twelve observable parameters encompassing neurological, respiratory, cardiovascular, and renal functions. Each parameter receives a score, and weights derived through stepwise multiple regression and nonlinear optimization create a severity of illness index, SEVILL, applicable to both neurologic and non-neurologic patients. This index enables comparisons of individual patients over time and among similar patients, facilitating assessments of recovery rates. The thesis …


Optimal Labeling On Trees, Raghavendra N. Rao Jun 1976

Optimal Labeling On Trees, Raghavendra N. Rao

Research Reports from the Department of Operations

Consider the problem of labeling the nodes of a given tree on n nodes with labels 1,2,...,n. Let d(i,i+1) be the number of edges in the path from node labeled i to node labeled i+1, i=1,2,...,n. d(n,n+1) is considered as d(n,1). The sum of d(i,i+1) over i=1,2,.. .,n is the quantity, call it SL' of interest. The minimum of SL is 2(n-1) for any tree on n nodes. This result is established and an efficient algorithm is given to achieve this value. This result is extended to trees having non-negative edge lengths. Since this problem can also be considered as …