Mean value and volume-based sensitivity analysis for Olympic rankings

DOI10.1016/j.ejor.2011.07.010zbMath1237.90122OpenAlexW2021752479MaRDI QIDQ421744

Sebastian Sitarz

Publication date: 14 May 2012

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2011.07.010

zbMATH Keywords

volumesensitivity analysismean valuemulti criteria decision makingOlympic ranking

Mathematics Subject Classification ID

Management decision making, including multiple objectives (90B50)

Related Items (13)

A Composite Indicator Methodology to Rank National Olympic Committees ⋮ Performance evaluation of participating nations at the 2012 London Summer Olympics by a two-stage data envelopment analysis ⋮ Sensitivity analysis for choice problems with partial preference relations ⋮ Use of the Reduced Tolerance Approach to Rank Efficient Solutions ⋮ Parametric LP for sensitivity analysis of efficiency in MOLP problems ⋮ Modifying olympics medal table via a stochastic multicriteria acceptability analysis ⋮ Compromise programming with Tchebycheff norm for discrete stochastic orders ⋮ Measuring Olympics Achievements via Stochastic Multicriteria Acceptability Analysis ⋮ Multiple criteria dynamic programming and multiple knapsack problem ⋮ Measuring Olympics performance based on a distance-based approach ⋮ Olympic rankings based on objective weighting schemes ⋮ Maximal and supremal tolerances in multiobjective linear programming ⋮ A dynamic paired comparisons model: who is the greatest tennis player?

Cites Work

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• An analytical expression and an algorithm for the volume of a convex polyhedron in \(R^ n\).
• Multiple criteria decision making, 22nd International Meeting of TIMS, July 24--26, 1975, Kyoto/Japan
• A recursive algorithm for volume-based sensitivity analysis of linear decision models
• Olympic ranking based on a zero sum gains DEA model.
• Towards fair ranking of olympics achievements: the case of Sydney 2000
• A Laplace transform algorithm for the volume of a convex polytope
• Multiple-attribute decision making with partial information: The comparative hypervolume criterion

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