| Issue |
RAIRO-Oper. Res.
Volume 54, Number 1, January-February 2020
|
|
|---|---|---|
| Page(s) | 53 - 68 | |
| DOI | https://doi.org/10.1051/ro/2018070 | |
| Published online | 15 January 2020 | |
Closed form of the response function in FDH technologies: Theory, computation and application*
1
Department of Mathematics, College of Science, Tehran North Branch, Islamic Azad University, Tehran, Iran
2
School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran Enghelab Avenue, Tehran, Iran
* Corresponding author: soleimani@khayam.ut.ac.ir
Received:
2
October
2017
Accepted:
4
September
2018
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.
Mathematics Subject Classification: 90C90 / 90C26 / 91B84
Key words: Data envelopment analysis / FDH technologies / response function / polynomial-time algorithm / real application / computational experiments
© EDP Sciences, ROADEF, SMAI 2020
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