The non-Archimedean CCR Ratio for Efficiency Analysis: Rejoinder to Boyd and Fare

Article Abstract:

The nonsense of maintaining operations research literature on the non-existence on non-Archimedean linear programming or non-Archimedean field extensions is made clear by Boyd and Fare's research in this month's journal. Due to economist referees of econometrics, the correct detail was supplanted by inaccurate Archimedean circumlocutions. Positivity in the Archimedean sense will not contribute to a linear programming problem. Dual theorems and problem construction in linear programming which would normally result in the Data Envelopment Analysis (DEA) side problem may not hold true where positive weights function.

Research, Management science, History, Industrial efficiency, Economic efficiency, Operations Research

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Goal programming models and their duality relations for use in evaluating security portfolio and regression relations

Article Abstract:

Goal programming models are used to evaluate,teather than select, inputs that conform to a collection of objectives. The dual variables related to goal programming are thus also analyzed. An example in portfolio planning where proximity to risk and return objective is quantified in sums of absolute deviations is examined. The dual variables are shown to be applicable to the evaluation of least absolute value regressions relative to their sensitivity to changes in data.

Commercial Banks, Analysis, Risk assessment, Duality theory (Mathematics), Least absolute deviations (Statistics)

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