Volume 20, Issue 3 (9-2023)
jor 2023, 20(3): 109-121 |
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Roudabr N, Najafi E, Moghaddas Z, Movahedi Sobhani F. A New DEA Model in the Presence of Flexible Measures with Flexible Value Based on Piecewise Linear Theory. jor 2023; 20 (3) :109-121
URL: http://jamlu.liau.ac.ir/article-1-2083-en.html
URL: http://jamlu.liau.ac.ir/article-1-2083-en.html
Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Abstract: (277 Views)
In real problems, the nature of some factors is not precisely known, and they can be considered as both input and output, which they are called flexible measures. In the proposed models, for evaluating the performance of decision making units (DMUs) with flexible measures, the value of the variables is considered linear. While in real issues many inputs and outputs of DMUs, including flexible variables have nonlinear values. In other words, if the flexible measure is considered as input, its valuation will be decreasing, and if it is considered as output, its valuation will be increasing (for desirable output). In fact, decision makers seek to maximize output and minimize inputs, therefore, in calculating efficiency and also differentiating between DMUs, less value should be considered for higher amount of inputs and more value for higher amount outputs. Several DMUs may be efficient, but one of them consumes less input than other efficient DMUs to maximize output, so according to the model presented in this article, it will get a higher rank in the ranking of DMUs. So, this paper proposes a new model to evaluate performance based on data envelopment analysis (DEA) and a piecewise linear function in the presence of flexible variables which considers the different effect of flexible variables in efficiency evaluation and distinguishes the valuation between flexible variables as inputs and outputs. The proposed model is used to evaluate the efficiency of cement factories listed on the stock exchange.
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