Influence of undesirable output factor on efficiency determination in DEA: A Case study of hospital emergency Tehran

One of the major concerns of managers in the field of health is the optimal allocation of manpower and resources; So in this study, to the quality of provided services in this area not to be damaged, we have used the data envelopment analysis (DEA) model to determine the efficiency of hospital emergency departments and possible improvements. Traditional DEA models do not seek to reduce undesirable outputs and increase undesirable inputs, so in this study, decision-making units (DMUs) effect on efficiency has also been investigated in addition to determining the efficiency of decision-making units (DMUs) with the presence of some undesirable output components. To do this, first, the set of proper production possibilities has been defined according to the problem assumptions and while examining the performance and ranking with Andersen-Petersen and Super-SBM models, a new method has been provided to determine the unfavorable performance of some output components in decision-making units. We have specified the effect of undesirable output on determining efficiency. We have also provided a real example of 30 hospital emergencies for 5 desirable inputs and 4 desirable outputs and one undesirable output, solved that example, and determined the efficiency score.