Showing papers by "William W. Cooper published in 1973"

An explicit general solution in linear fractional programming

Abstract: : A complete analysis and explicit solution is presented for the problem of linear fractional programming with interval programming constraints whose matrix is of full row rank. The analysis proceeds by simple transformation to canonical form, exploitation of the Farkas-Minkowski lemma and the duality relationships which emerge from the Charnes-Cooper linear programming equivalent for general linear fractional programming. The formulations as well as the proofs and the transformations provided by our general linear fractional programming theory are here employed to provide a substantial simplification for this class of cases. The augmentation developing the explicit solution is presented, for clarity, in an algorithmic format.

Explicit Solutions in Convex Goal Programming

Abstract: Goal programming has now become an important tool in areas such as public management science. There is therefore a need for examining ways of securing improved computational efficiency, as is done in this paper, instead of resting only on the linear programming equivalences that were set forth when the original goal programming article was published in Vol. 1, No. 2 of Management Science. Based on lemmata which permit reduction of various important classes of convex goal programming models to problems of full row rank-interval programming type, explicit solutions to convex goal programming problems are exhibited. Some of the equivalences herein established are also useful in their own right and for other classes of problems—e.g., interval programming—as well as advanced start procedures and other such computational matters.

Measuring, Monitoring and Modeling Quality of Life

Abstract: Issues addressed include use of multi-dimensional vs. single scalar approaches to measuring quality of life. The former seems preferable to the latter. This is illustrated by reference to examples from the national accounts systems approach, using objective data only, as proposed by Nestor Terleckyj, and the local use of questionnaires and interviews to deal with subjective feelings and reactions as reported in the citizen-type panel arrangements suggested by Norman Johnson and Edward Ward. Ways of allowing for trends and dynamic changes are examined and, inter alia, audits and other devices are suggested for detecting emerging needs for new roles and social-institutional arrangements. Areas that may lie beyond any such measurement and detection systems are also examined.

Integrated Manpower and Program Planning Models for Laboratory Management.

Abstract: : The paper discusses manpower planning systems for a large Naval laboratory which are being developed from an integrated point of view. This includes the implementation results of a goal programming model with embedded Markov processes to assist in the evaluation of staffing plans. A description is given of the methods used to bring together manpower and budgetary information through the integration of technical program, financial, and personnel data. Included are the verification of initial results of model application and a discussion of other analyses which are being used in addition to the models. (Author)

A Model to Study Revenue Sharing and Account for Regionalized Economic Activity and Social Goals

Abstract: The objective of this paper is to provide a model to deal with multi-dimensional social goals on a regionalized as well as national basis and to relate these to each other in the context of a national economic system. Input-Output Interindustry Analysis is therefore regionalized and reformulated in a way that connects it to national economic policy variables in a Keynsian framework. Possible multiple objectives and controls are examined and their possible further developments are also sketched in a context of regionalized and social goals that differ from region to region and also from time to time. Various proposals for revenue sharing are exhibited and interpreted in the light of the possibilities this model admits. Special attention is given to the Nixon President Nixon and ACIR Advisory Commission on Intergovernmental Relations plans in contrast to a multi-goal dynamic and adaptive control-incentive scheme with “saturating” indices of goal attainment. The latter, suggested at the end of this paper, is designed so that it can permit variation between regions while maintaining minimum levels of comparable attainment on goals that are common to more than one region.

Preface to Management Science, Ecology and the Quality of Life

Abstract: Most of the articles that follow are the papers that formed the Distinguished Lecturer Series---i.e., the invited, thematic series---at the XIX International Meetings of The Institute of Management Sciences in Houston, Texas, on April 4--8,1972. There are two exceptions: 1 “The ORSA New Orleans Address on 'Compact City'” by G. B. Dantzig and 2 “A Model to Study Revenue Sharing and Account for Regionalized Economic Activity and Social Goals” by A. Charnes, C. Colantoni, W. W. Cooper and K. O. Kortanek. The former, as its title suggests, was the basis of Dr. Dantzig's plenary lecture on April 27, 1972, to the 41st National Meeting of the Operations Research Society of America in New Orleans---to which he has added “An Agenda for Research on Urban Development”. The latter paper is intended to complement “Measuring, Monitoring and Modeling Quality of Life” which was presented by A. Charnes, W. W. Cooper and G. Kozmetsky, as the final Distinguished Lecture in the TIMS series at Houston.