Showing papers by "Abraham Charnes published in 1978"

Complements, Mollifiers and the Propensity to Disrupt.

Abstract: Gately [1974] andLittlechild/Vaidya [1976] defined and studied ratio measures of “disruption propensity” of coalitions in ann-person game. We define and study new incremental measures giving rise to a wide variety of “disruption solution” concepts free of various ratio defects and affording advantages of analysis and acceptability in terms of solution specifications. Various “mollifier” and “homomollifier” solution concepts are characterized which appear to be of promising utility.

Extremal Principles and Optimization Dualities for Khinchin-Kullback-Leibler Estimation.

Abstract: This paper presents a new extremal approach to deriving dual optimization problems with proper duality inequality which simplifies, and generalizes the Fenchel-Rockafellar scheme. Our derivation proceeds in two stages, (i) inequality attainment,(ii) decoupling primal and dual variables, The power and convenience of this approach are exhibited through a new, much simpler derivation of the Charnes-Cooper results for Khinchin-Kullback-Leibler statistical estimation [1], the immediate establishment of the C2 duality for general distributions and its extensions to general linear inequality constraints, plus the development of a new two-person zero-sum game connection.

Constrained Information Theoretic Characterizations in Consumer Purchase Behaviour

Abstract: The analysis called SANDDABS which has had a long history of use in consumer purchase behaviour (including brand switching) at MRCA and elsewhere, is given a constrained information theoretic characterization This is made possible by recent developments in optimization and duality which are precise and general That is, these developments generalize the classical relations between information theory and statistics as previously established in very precise forms by Khinchin-Kullback-Leibler (and others) Contacts with geometric programming in an extended form along with other recent developments in optimization and duality are also supplied and a way is thereby opened for unifying many apparently separate approaches to market analysis

Equal Employment Opportunity Planning and Staffing Models

Abstract: Manpower planning for equal employment opportunity (EEO) must ensure a representation of social groups within the organization that matches their representation in the environment surrounding that organization. This paper discusses a multi-level system of goal programming models with embedded Markoff processes—a master model for evaluating corporate goals and a “coherence” model for local personnel management decisions. Both models have unique state-of-the-art features such as dual goal sets, the incorporation of flexibility options, the use of “bridge positions” and the use of piece-wise linear goal functionals in a capacitated distribution model format. A brief description of each model is given, followed by a discussion of some issues surrounding the process of goal setting and attendant issues of reporting and accountability.