e. vaezi

Measuring the performance of laboratories as one of the most significant areas of healthcare plays a key role in the quality of laboratories management. In this paper, we consider a three-stage network comprised of a leader and two followers in respect to the additional desirable and undesirable inputs and outputs. The suggested model simulates the internal structure of a diagnostic lab (the pre-test, the test and the post-test). The criteria for evaluation are achieved by using the Fuzzy Delphi technique. Due to the social, economic and environmental impacts of health care systems, the significance of sustainability criteria is obvious in the case study indicators. We utilize the non-cooperative approach multiplicative model to measure the efficiency of the overall system and the performances of decision-making units (DMUs) from both the optimistic and pessimistic views. The non-cooperative models from these view cannot be converted into linear models. Therefore, a heuristic method is suggested to convert the nonlinear models into linear models. Finally, after obtaining the efficiencies based on the double-frontier view, the DMUs are ranked and classified into three clusters by the k-means algorithm.

In this paper, a three-stage network with optimal desirable and undesirable inputs and outputs has been taken into consideration by us. This network comprises of a leader and two followers. Four diverse models of Data Envelopment Analysis (DEA) to measure the efficiency or the performance, of this three-stage network have been taken under contemplation; these are namely, a Black Box Model and three Stackelberg Game (Theory) Models. A multiplicative DEA, with a double-frontier approach, to measure the efficiency of the entire system and the performances of the decision making units (DMUs), from both the optimistic and pessimistic views have been utilized. In this paper attempts have been made to present the goals of the managers in the models. Hence, aspects of goal programming have been manipulated so as to define cooperation between the leader and followers, such that, we are able to include the objectives of the managers in the models. In actual fact, a non-cooperative collaboration is deliberated upon. In addition to which, in the second and third scenarios, the leader-follower, nonlinear models are present. Thereby, a heuristic approach is suggested to convert the nonlinear models into linear ones.