Determining the type of returns to scale (RTS) and identifying stability region for RTS of evaluating unit are appropriate abilities for forecasting the future the unit when its size is changed. This paper aims to introduce RTS sustainability of frontier decision making units (DMUs) in data envelopment analysis (DEA). Based on the importance of RTS in relation to decisions of managers, differen...

the measurement of rts amounts measures a relationship between inputs and outputs in a production structure. there are many different ways to calculate rts in primal or dual space. but in more realistic cases, governments usually intervene on dmu’s behavior as regulatory agency, this clearly represent a set of limitations and restrictions on behaviors of dmus, so very few decisions in dmus are ...

this research identifies returns to scale (rts) of efficient decision making units (dmus) with desirable (good) and undesirable (bad) inputs and outputs by presenting a new dea (data envelopment analysis) approach. in this study, we first introduce a new input-output oriented model to determine efficient dmus in the presence of undesirable factors and then, returns to scale of these dmus are es...

The calculation of RTS amounts to measuring a relationship between inputs and outputs in a production structure. There are many methods to measure RTS in the primal space or the dual space. One of the main approaches is using the multiplier on the convexity constraint. But returns to scale measurements in DEA models are affected by the presence of regulatory constraints. These additional constr...

The measurement of RTS amounts measures a relationship between inputs and outputs in a production structure. There are many different ways to calculate RTS in primal or dual space. But in more realistic cases, governments usually intervene on DMU’s behavior as regulatory agency, this clearly represent a set of limitations and restrictions on behaviors of DMUs, So very few decisions in DMUs are ...

This article reviews the estimation of Returns To Scale (RTS) in Data envelopment analysis (DEA), presented by Golany and Yu and proposes a new method to do this estimation. we show that the new method does not have the shortcoming of the previous one. Furthermore, it is able to evaluate Returns To Scale (RTS) to the right and left of the given unit in all conditions. This method is elaborated ...

This research identifies returns to scale (RTS) of efficient decision making units (DMUs) with desirable (good) and undesirable (bad) inputs and outputs by presenting a new DEA (data envelopment analysis) approach. In this study, we first introduce a new input-output oriented model to determine efficient DMUs in the presence of undesirable factors and then, returns to scale of these DMUs are es...

the calculation of rts amounts to measuring a relationship between inputs and outputs in a production structure. there are many methods to measure rts in the primal space or the dual space. one of the main approaches is using the multiplier on the convexity constraint. but returns to scale measurements in dea models are affected by the presence of regulatory constraints. these additional constr...

sueyoshi and sekitani in 2007 presented a paper that explores the measurement of returns to scale under a possible occurrence of multiple solution in a reference set and a supporting hyperplane. the occurrence ofmultiple solutions is classified into type i and type ii. type i is an occurrence of multiple solutions in a reference set. type ii is an occurrence of multiple solutions on a supportin...