Open Access Open Access  Restricted Access Subscription or Fee Access

Interactive Algorithm for Obtain the Most Preferred Solution in DEA

M. Moradi Dalini, A.A. Noura

Abstract



Data envelopment analysis (DEA) evaluates the efficiency of the transformation of a decision making unit’s (DMU’s) inputs to its outputs. One of the important purpose of DEA is to obtain criterions of a DMU. Currently, the criterions are obtained without decision maker’s preferences structure. If the preferences of the decision maker are available, it is very important to obtain the most preferred solution (MPS). By transformed a DEA model into a multiobjective programming (MOP) can be solved them by interactive methods. In interactive methods, a decision maker plays a serious role, such that steps of an algorithm are repeated and the decision maker progressively provides preference information so that MPS can be found. In this regard, we using the interactive PROJECT algorithm to find MPS, based on implicit utility function. This algorithm is able to obtain any efficient solution, contain no supported efficient solution and also identify the MPS, even in nonconvex cases in this study, we will choose one of the DEA models when this model can focus on decreases total input consumption and increase total output production which results in solving one mathematical model instead of n models.

Keywords


Data envelopment analysis, interactive multi objective programming, implicit utility function, most preferred solution.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.