A Discrete Probability Chance-constrained Capital Budgeting Model


Book Description

Aspects of the duality theory for semi-infinite programming are extended to fields with properties of non-Archimedean order. Emphasis is on nonstandard semi-infinite programming problems in Hilbert's Field. The ideas of regularization are generalized to include powers of the relative infinites in terms of the indeterminates. (Author).







Integer Programming and Related Areas


Book Description

Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.




NASA SP-7500


Book Description




Encyclopedia of Operations Research and Management Science


Book Description

Audience: Anyone concerned with the science, techniques and ideas of how decisions are made."--BOOK JACKET.




Extremal Methods and Systems Analysis


Book Description

The papers appearing in this Volume were selected from a collec tion of papers presented at the Internationa~ Symposium on Extrema~ Methods and Systems Ana~ysis on the Occasion of Professor A. Charnes' 60th Birthday, at the University of Texas in Austin, 13-15 September 1977. As coeditors, we have followed the normal editorial procedures of scholarly journals. We have obtained invaluable assistance from a number of colleagues who essentially performed the duties of associate editors, coordinating most of the reviews. All papers except those appearing in the Historica~ Perspectives section were refereed by at least two individuals with competency in the respective area. Because of the wide range and diversity of the topics, it would have been im possible for us to make a consistently rational selection of papers without the help of the associate editors and referees. We are indeed grateful to them. The breadth of extremal methods and systems analysis, suggested by the range of topics covered in these papers, is characteristic of the field and also of the scholarly work of Professor Charnes. Extre mal methods and systems analysis has been a pioneering and systematic approach to the development and application of new scientific theories and methods for problems of management and operations in both the pri vate and public sectors, spanning all major disciplines from economics to engineering.




Chance-Constrained Programming and Related Approaches to Risk Control in Capital Budgeting


Book Description

The report explores a group of approaches to risk control in the capital budgeting process. The specific meaning of risk in the capital investment decision is examined. Models are developed by incorporating risk control measures which are common business practice (particularly the 'payback' method) with some of the recent developments in mathematical programming. Specific models are developed to illustrate methods of dealing with two of the major risk elements in the capital budgeting risks in the sense of insufficient liquidity. In particular, the stochastic nature of the cash flows generated by a project is dealt with by the methodologies of Chance-Constrained Programming and Linear Programming Under Uncertainty (LPUU). A model is developed for the case in which the cash flows are assumed to be normally distributed. A model is also developed where the cash flows are described by arbitrary discrete distributions. The applicability of goemetric programming as a solution method for the discrete model is evaluated. An integer linear programming model is developed by a transformation of the geometric programming model, and its properties and interpretations are investigated. The dual to this model is found to offer significant insights into the problem, with particular reference to the effects of controlling risk elements on a portfolio basis in contrast with the common practice of controlling risks on an individual project basis. (Author).




Capital Budgeting


Book Description




Systems and Management Science by Extremal Methods


Book Description

This volume, Systems and Management Science by Extremal Methods, is the second in a series dedicated to honoring and extending the work of Abraham Charnes. The first volume, entitled Extremal Methods and Systems Analysis (Springer Verlag, Berlin, 1980), was edited by A.V. Fiacco and K.O. Kortanek. Subtitled "An International Symposium on the Occasion of Abraham Charnes' Sixtieth Birthday," this first volume consisted of a selection from papers presented at a conference in honor of Professor Charnes held at The University of Texas at Austin in September 1977. This second volume consists of papers, to be described more fully below, that were presented in a similar 2 conference held at the IC Institute of The University of Texas at Austin, Texas, in October of 1987, to honor Dr. Charnes on his seventieth birthday. All these papers were written by scholars and scientists whose own work has been affected by the contributions of this distinguished scholar and educator over a long period of time.