Once again we show that the analysis of a very simple artificial example contrived by its authors for a general indictment of all chance constrained programming is itself in error. Proofs and further references are supplied below along with a discussion of other deficiencies and ambiguities in...

Duality gaps which may occur in semi-infinite programs are shown to be interpretable as a phenomenon of an improper representation of the constraint set, u^TP_i \geqq c_i, i \varepsilon I. Thus, any semi-infinite system of linear inequalities has a canonically closed equivalent (with interior...

When a system is described in terms of a linear programming problem max c^Tx with Ax \leqq b, x \geqq 0, study of its properties, e.g., sensitivity analyses, etc., focuses on effects of alterations in the triple (A, b, c) on the properties of the system. These effects are non-linear and generally...

In management contexts, mathematical programming is usually used to evaluate a collection of possible alternative courses of action en route to selecting one which is best. In this capacity, mathematical programming serves as a planning aid to management. Data Envelopment Analysis reverses this...

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...

A new approach is supplied for locating efficiency frontiers and evaluating the efficiency of Decision Making Units (DMU's). This is accomplished from observational data by means of an envelopment procedure called DEA (Data Envelopment Analysis) originally developed by Charnes, Cooper and Rhodes...

New Directions in Computational Economics brings together for the first time a diverse selection of papers, sharing the underlying theme of application of computing technology as a tool for achieving solutions to realistic problems in computational economics and related areas in the...

Designed to provide a systematic introduction to DEA and its uses as a multifaceted tool for evaluating problems in a variety of contexts. This volume reviews the basic principles taught in the authors' successful textbook, "Data Envelopment Analysis." This package includes the book in a CD-ROM...

This handbook covers DEA topics that are extensively used and solidly based. The purpose of the handbook is to (1) describe and elucidate the state of the field and (2), where appropriate, extend the frontier of DEA research. It defines the state-of-the-art of DEA methodology and its uses. This...