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A modeling framework for incorporating DEA efficiency into set covering, packing, and partitioning formulations
Author(s) -
Georgantzinos S. K.,
Giannikos I.
Publication year - 2019
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/itor.12409
Subject(s) - data envelopment analysis , mathematical optimization , set (abstract data type) , computer science , simple (philosophy) , packing problems , mathematics , philosophy , epistemology , programming language
Abstract The development of a modeling framework for efficient and cost‐effective decisions considering the set covering, packing, and partitioning problems is the main concern of this paper. To achieve this goal, the simultaneous data envelopment analysis model is combined with the appropriate covering‐type formulation providing a series of multiobjective mathematical models. Simple numerical examples are implemented and analyzed in order to validate and test the proposed models. The results demonstrate that the methods are able to successfully find solutions for set covering, packing, and partitioning problems that also take into account the efficiency of the coverage offered.