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...

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...

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...

A model for measuring the efficiency of Decision Making Units (=DMU's) is presented, along with related methods of implementation and interpretation. The term DMU is intended to emphasize an orientation toward managed entities in the public and/or not-for-profit sectors. The proposed approach is...

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...