en Mathematical Modeling and Applications of OR Mathematical Modeling and Applications of OR پژوهشی Original <span style="font-size:11pt"><span style="line-height:normal"><span style="text-autospace:none"><span new="" roman="" style="font-family:" times=""><i><span lang="EN-US" style="font-size:10.0pt"><span style="letter-spacing:-.25pt">The traditional inverse data envelopment analysis (IDEA) models assess specific performance metrics in relation to changes in others, without taking into consideration the existence of random and undesirable outputs. This study presents a novel inverse DEA model with random and undesirable outputs, enabling the estimation of some random performance measures for changes of other random measures. The proposed chance-constrained inverse DEA model integrates both managerial and natural disposability constraints. By using the introduced approach, the estimation of natural disposable random inputs is presented for changes in random desirable outputs. Also, undesirable outputs are assessed for the perturbation of managerial disposable random inputs while the stochastic efficiency is maintained. The models are solved as &nbsp;linear problems, with a numerical example provided to illustrate their application. The findings indicate that this approach is effective for evaluating efficiency and performance metrics in scenarios involving random and undesirable outputs.</span></span></i></span></span></span></span><br> &nbsp; Inverse DEA, Chance-Constrained DEA, Undesirable Outputs, Managerial Disposability 41 56 http://iors.ir/journal/browse.php?a_code=A-10-304-7&slc_lang=en&sid=1 Yasaman Zibaei Vishghaei yasaman.zibaee@gmail.com 00031947532846002863 00031947532846002863 No Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran Sohrab Kordrostami sohrabkordrostami@gmail.com 00031947532846002864 00031947532846002864 Yes Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran Alireza Amirteimoori aamirteimoori@gmail.com 00031947532846002865 00031947532846002865 No Faculty of Engineering & Natural Sciences, Istinye University, Istanbul, Turkey Soheil Shokri soheilshokri@gmail.com 00031947532846002866 00031947532846002866 No Department of Statistics, Lahijan Branch, Islamic Azad University, Lahijan, Iran