In the performance evaluation process, using the classic data envelopment analysis (DEA) models, decision making units (DMUs) are considered as black boxes. While in many cases and different applications such as investment funds, banks, insurance companies, etc., DMUs have a network structure. In addition, in many network structures, some of the indicators used to calculate the efficiency...

Undesirable outputs (or bads) refer to the byproducts accompanied with desirable outputs (or goods) in a production process, e.g. sulfur dioxide and carbon dioxide in coal-fired power generation. The shadow price of undesirable output, which may be interpreted as the opportunity cost of abating one additional unit of undesirable output in terms of the loss of desirable output, could provide val...

In this paper we investigate inputs/outputs estimate in the presence of undesirable factors. We discuss such questions: suppose some outputs (inputs) are undesirable and among a group of decision making units (DMUs) a DMU changes (increases and decreases simultaneously) some of its input (output) levels, how much outputs (inputs) could the unit change such that its efficiency index remains unch...

Based on Super-SBM DEA model, this paper investigates the efficiency of 12 Chinese commercial banks from 2005 to 2013 under the consideration of undesirable output, and verifies the truth that considering undesirable outputs (non-performing loans) can make research result more authentic by comparing with the consequence obtained without considering undesirable output. On this basis, this paper ...

Today, banks, as intermediaries, seek to attract and allocate resources to obtain greater benefit. Therefore, the bank assessment is considered as an important subject in the banking industry. Data envelopment analysis is an effective technique in evaluating the efficiency of decision-making units. There are factors among banking indices (such as receivables from resource allocation) that are i...

This paper develops slacks-based measure (SBM) and additive SBM (ASBM) to evaluate efficiency of decision making units (DMUs) in a two-stage structure with undesirable outputs and feedback variables from the internal perspective. The SBM model is linearized  for a specific weight and the ASBM model is reformulated as a second order cone program. The target values for all inputs, outputs (both d...

Total carbon dioxide (CO2) emission and energy consumption by mainland China in recent years has been second only to the U.S. China’s environmental pollution causes about 3.5% to 8% loss of GDP every year, indicating that its domestic environmental problem has become one of the most urgent issues the government must face. Current studies in the literature that employ data envelopment analysis (...