Inverse data envelopment analysis model to preserve relative efficiency values: The case of variable returns to scale

On inverse DEA model: The case of variable returns to scale

“…The current article addresses the ambiguities in using MOLP in the inverse BCC model by Lertworasirikul et al (2011). This shortcoming is eliminated by clarifying and using MOLP in a correct way.…”

“…This model is named the inverse BBC model following the fact that the relative DEA model with VRS properties is known as the BCC model which was introduced by Banker et al (1984). Lertworasirikul et al (2011) first dealt with the inverse DEA model which is a non-linear programming and then they moved into a multiple-objective linear programming MOLP structure that has also been used in the literature regarding the difficulty associated with solving non-linear problems. However, this article contains some ambiguities about using MOLP in the inverse BCC model.…”

“…Inverse DEA models try to answer questions like: If a DMU perturbs its input (output), to what extent should its output (input) be changed to preserve the relative efficiency of the DMU? Lertworasirikul et al (2011) proposed an inverse DEA model assuming variable returns to scale (VRS). This model is named the inverse BBC model following the fact that the relative DEA model with VRS properties is known as the BCC model which was introduced by Banker et al (1984).…”

“…this section, we modify the inverse BCC model ofLertworasirikul et al (2011) and describe the relationship between the inverse BCC model and the relative MOLP. Weak efficient solutions for MOLP model (2) play a key role in this part.…”

Modelling generalized firms’ restructuring using inverse DEA

“…Subsequently, the literature on inverse DEA has been extended and this problem has been studied in many theoretical and applied publications, including Hadi-Vencheh et al (2008), HadiVencheh and Foroughi (2006), Jahanshahloo et al (2004aJahanshahloo et al ( , 2004bJahanshahloo et al ( , 2005, and Lin (2010). Further to this, Lertworasirikul et al (2011) and Ghiyasi (2015) proposed an inverse variable returns to scale model for a resource allocation problem. HadiVencheh et al (2015) presented an inverse DEA model in the presence of imprecise data.…”