Metric Distance Function and Profit: Some Duality Results

Keywords

Mathematics, Convexity, Duality (order theory), Signed distance function, Convex function

References

• The measurement of efficiency of productionRolf Färe, Shawna Grosskopf, C. A. Knox Lovell — 1985
• Optimization by Vector Space MethodsD. Luenberger — 1968
• Minimum Distance to the Complement of a Convex Set: Duality ResultWalter Briec — 1997
• Production Economics: A Dual Approach to Theory and ApplicationsMelvyn Fuss, Daniel McFadden — 1979
• Profit, Directional Distance Functions, and Nerlovian EfficiencyRobert G. Chambers, Yangho Chung, Rolf Färe — 1998
• Theory of cost and production functionsRonald William Shepherd — 1970
• Benefit and Distance FunctionsRobert G. Chambers, Yangho Chung, Rolf Färe — 1996
• Constructing higher-dimensional convex hulls at logarithmic cost per faceRaimund Seidel — 1986
• Benefit functions and dualityDavid G. Luenberger — 1992
• The Coefficient of Resource UtilizationGérard Debreu — 1951
• Continuity of measures of technical efficiencyR. Robert Russell — 1990
• The Measurement of Productive EfficiencyMariah Farrell — 1957
• A Graph-Type Extension of Farrell Technical Efficiency MeasureWalter Briec — 1997

Cited by

• Contribution à l'indicateur de Hicks-Moorsteen et à la théorie de la productivité.Agathe Stenger — 2015
• Dual Representations of Non-Parametric Technologies and Measurement of Technical EfficiencyWalter Briec, Hervé Leleu — 2003
• Distance Functions and Efficiency MeasurementJesús T. Pastor, Juan Aparicio — 2010
• Aggregation of Directional Distance Functions and Industrial EfficiencyWalter Briec, B. Dervaux, Hervé Leleu — 2003
• A well-defined efficiency measure for dealing with closest targets in DEAJuan Aparicio, Jesús T. Pastor — 2013
• Generalized benefit functions and measurement of utilityWalter Briec, Philippe Gard�res — 2004
• Closest targets and strong monotonicity on the strongly efficient frontier in DEAJuan Aparicio, Jesús T. Pastor — 2014
• Benchmarking and Data Envelopment Analysis. An Approach based on MetaheuristicsJosé J. López‐Espín, Juan Aparicio, Domingo Giménez — 2014
• Discrete time touristic volume analysis in mean–variance spaces: the French hospitality sector situationOlga Gonçalves, Hermann Ratsimbanierana — 2012
• Single-Period Markowitz Portfolio Selection, Performance Gauging, and Duality: A Variation on the Luenberger Shortage FunctionWalter Briec, Kristiaan Kerstens, Jean‐Baptiste Lesourd — 2002
• On how to properly calculate the Euclidean distance-based measure in DEAJuan Aparicio, Jesús T. Pastor — 2014
• Measuring economic efficiency with incomplete price information: With an application to European commercial banksTimo Kuosmanen, Thierry Post — 2001
• The relevance of DEA benchmarking information and the Least-Distance Measure: CommentJesús T. Pastor, Juan Aparicio — 2010
• An overall measure of technical inefficiency at the firm and at the industry level: The 'lost profit on outlay'Juan Aparicio, Jesús T. Pastor, Subhash C. Ray — 2013
• Benchmarking in Data Envelopment Analysis: An Approach Based on Genetic Algorithms and Parallel ProgrammingJuan Aparicio, José J. López‐Espín, Raul Martinez-Moreno — 2014
• A General Input Distance Function Based on Opportunity CostsJuan Aparicio, Jesús T. Pastor — 2011
• The slack-based measure model based on supporting hyperplanes of production possibility setA. Hadi‐Vencheh, Josef Jablonský, A. Esmaeilzadeh — 2015
• Benchmarking mean-variance portfolios using a shortage function: the choice of direction vector affects rankings!Kristiaan Kerstens, Amine Mounir, Ignace Van de Woestyne — 2012
• Directional Distance Functions and Rate-of-Return RegulationJuan Aparicio, Jesús T. Pastor — 2012
• Enhancing non-compensatory composite indicators: A directional proposalElisa Fusco — 2015

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