Evaluation of the Performance in Dynamic Network Data Envelopment Analysis with Undesirable Outputs

محورهای موضوعی : Data Envelopment Analysis

محمد نجاری الموتی ¹ ( Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )
رضا کاظمی متین ² ( IAU Karaj Branch )
محسن خون سیاوش ³ ( Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )
زهره مقدس ⁴ ( Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran )

تاریخ دریافت : 1400/11/22 تاریخ پذیرش : 1401/01/27 تاریخ انتشار : 1400/06/10

کلید واژه: Data Envelopment Analysis (DEA), Undesirable outputs, Dynamic network DEA, Evaluation of hospitals,

چکیده مقاله :

Data Envelopment Analysis (DEA) is a mathematical technique to assess the performance of Decision Making Units (DMUs) with similar inputs and outputs. The traditional DEA models disregard the internal structure of units and have a “black box” view. Thus, to evaluate the structures with more than one stage, the network DEA (NDEA) models expanded. On the other hand, the dynamic optimization models have been presented to eliminate the limitations of static models in optimization. In the article, for the first time, a systematic approach is used to present a dynamic NDEA with constant inputs and undesirable outputs. First, we used an axiomatic approach in DEA with undesirable output and presented an NDEA model with undesirable output. Then, we extended the proposed approach and presented a dynamic NDEA with undesirable output and a constant input. Afterward, we applied this model to evaluate hospitals’ performance in an experimental study to estimate the efficiency of their dynamic network.

چکیده انگلیسی:

در این مقاله، یک مدل جدید تحلیل پوششی داده های شبکه ای پویا با خروجی های نامطلوب ارائه می گردد. ابتدا، ما از یک رویکرد اصول موضوعه ای در DEA با خروجی نامطلوب استفاده نموده و یک مدل شبکه ای با خروجی های نامطلوب ارائه می نماییم. سپس، رویکرد پیشنهادی را گسترش داده و یک مدل با ساختار شبکه ی پویا با خروجی نامطلوب و ورودی ثابت ارائه می نماییم. پس از آن، از این مدل برای ارزیابی عملکرد بیمارستان‌ها در یک مطالعه تجربی برای برآورد کارایی شبکه پویا استفاده می گردد.

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