An integrated data envelopment analysis and mixed integer non-linear programming model for linearizing the common set of weights
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F19%3A10240311" target="_blank" >RIV/61989100:27510/19:10240311 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10100-017-0510-y" target="_blank" >https://link.springer.com/article/10.1007/s10100-017-0510-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10100-017-0510-y" target="_blank" >10.1007/s10100-017-0510-y</a>
Alternative languages
Result language
angličtina
Original language name
An integrated data envelopment analysis and mixed integer non-linear programming model for linearizing the common set of weights
Original language description
The problem of ranking efficient decision making units (DMUs) is of interest from both theoretical and practical points of view. In this paper, we propose an integrated data envelopment analysis and mixed integer non-linear programming (MINLP) model to find the most efficient DMU using a common set of weights. We linearize the MINLP model to an equivalent mixed integer linear programming (MILP) model by eliminating the non-linear constraints in which the products of variables are incorporated. The formulated MILP model is simpler and computationally more efficient. In addition, we introduce a model for finding the value of epsilon, since the improper choice of the non-Archimedean epsilon may result in infeasible conditions. We use a real-life facility layout problem to demonstrate the applicability and exhibit the efficacy of the proposed model.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Central European Journal of Operations Research
ISSN
1435-246X
e-ISSN
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Volume of the periodical
27
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
887-904
UT code for WoS article
000482948100001
EID of the result in the Scopus database
2-s2.0-85037150456