The role of non-Archimedean epsilon in finding the most efficient unit: with an application of professional tennis players

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F14%3A86092179" target="_blank" >RIV/61989100:27510/14:86092179 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.apm.2014.04.010" target="_blank" >http://dx.doi.org/10.1016/j.apm.2014.04.010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apm.2014.04.010" target="_blank" >10.1016/j.apm.2014.04.010</a>

Result language
angličtina
Original language name
The role of non-Archimedean epsilon in finding the most efficient unit: with an application of professional tennis players
Original language description
The determination of a single efficient decision making unit (DMU) as the most efficient unit has been attracted by decision makers in some situations. Some integrated mixed integer linear programming (MILP) and mixed integer nonlinear programming (MINLP) data envelopment analysis (DEA) models have been proposed to find a single efficient unit by the optimal common set of weights. In conventional DEA models, the non-Archimedean infinitesimal epsilon, which forestalls weights from being zero, is uselessif one utilizes the well-known two-phase method. Nevertheless, this approach is inapplicable to integrated DEA models. Unfortunately, in some proposed integrated DEA models, the epsilon is neither considered nor determined. More importantly, based on this lack some approaches have been developed which will raise this drawback. In this paper, first of all some drawbacks of these models are discussed. Indeed, it is shown that, if the non-Archimedean epsilon is ignored, then these models ca
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
AE - Management, administration and clerical work
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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