Sima Madadi - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Farhad Hosseinzadeh Lotfi - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Mehdi Fallah Jellodar - Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.
Mohsen Rostamy-Malkhalifeh - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

We developed a DEA-based resource re-allocation model based on environmental DEA technology for organizations with a central decision-making environment. The proposed model considered a weak disposability axiom for undesirable outputs and combined Data Envelopment Analysis (DEA) with Multiple-Objective Programing (MOP). The objective was to find the appropriate re-allocation model in order to save energy and reduce environmental pollution, so that the next steps could be taken toward improvement. Given that reducing the inputs and outputs of inefficient units is sometimes not achievable and does not seem logical, for the reduction in the values to be logical and achievable, we divided the Decision-Making Units (DMUs) into different levels of efficient frontier using the context-dependent DEA technique. For this purpose, the model was designed to move the DMUs from the current frontier to the efficient frontier of the previous layer, which has better efficiency conditions, or keep them on their own frontier. In addition, the opinion of the central decision maker regarding the amount of reduction in the inputs and outputs was expressed using Goal Programing (GP) in a way that does not make the model infeasible. By implementing the model in ۸ regions of the world, suggestions were made regarding the amounts of energy saving and CO۲ pollution reduction based on the conditions determined by the central decision maker aiming improve the efficiency of inefficient units in the next step.

Resource Allocation, Data Envelopment Analysis, Pollution Reduction, Weak disposability