Closed form of the response function in FDH technologies: Theory, computation and application
RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 1, pp. 53-68.

Response function (RF), which gives the value of maximum feasible outputs in response to changing the inputs, has a crucial role in performance analysis and scale elasticity measurement. In this paper, a polynomial-time algorithm is provided which is able to obtain the closed form of the RF under (nonconvex) FDH productions technologies. Finite convergence of the presented algorithm is proved; and it is established that the algorithm is polynomial-time from a complexity standpoint. Moreover, an application of the proposed procedure with real-world data accompanying some experiment-based computational discussions are given.

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DOI : 10.1051/ro/2018070
Classification : 90C90, 90C26, 91B84
Mots-clés : Data envelopment analysis, FDH technologies, response function, polynomial-time algorithm, real application, computational experiments 
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     author = {Mostafaee, Amin and Soleimani-Damaneh, Majid},
     title = {Closed form of the response function in {FDH} technologies: {Theory,} computation and application},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {53--68},
     publisher = {EDP-Sciences},
     volume = {54},
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     url = {http://archive.numdam.org/articles/10.1051/ro/2018070/}
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Mostafaee, Amin; Soleimani-Damaneh, Majid. Closed form of the response function in FDH technologies: Theory, computation and application. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 1, pp. 53-68. doi : 10.1051/ro/2018070. http://archive.numdam.org/articles/10.1051/ro/2018070/

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The research of the second author was in part supported by a grant from the University of Tehran (No. 27836.1.11).