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Data envelopment analysis (DEA) is a linear program (LP)-based method used to determine the efficiency of a decision making unit (DMU), which transforms inputs to outputs, by peer comparison. This paper presents a new computation algorithm…

Optimization and Control · Mathematics 2018-07-30 Wen-Chih Chen

An alternative approach for the panel second stage of data envelopment analysis (DEA) is presented in this paper. Instead of efficiency scores, we propose to model rankings in the second stage using a dynamic ranking model in the…

Applications · Statistics 2024-05-09 Vladimír Holý

In data envelopment analysis (DEA), the concept of efficiency is examined in either Farrell (DEA) or Pareto senses. In either of these senses, the efficiency status of a decision making unit (DMU) is classified as either weak or strong. It…

Optimization and Control · Mathematics 2015-08-10 Mahmood Mehdiloozad , Mohammad Bagher Ahmadi , Biresh K. Sahoo

In this paper, we reveal a new characterization of the super-efficiency model for Data Envelopment Analysis (DEA). In DEA, the efficiency of each decision making unit (DMU) is measured by the ratio the weighted sum of outputs divided by the…

Optimization and Control · Mathematics 2024-11-04 Tomonari Kitahara , Takashi Tsuchiya

The objective of this paper is to evaluate the performance of decision-making units (DMUs) using a hybrid fuzzy multi-objective (FMO) data envelopment analysis (DEA) approach. This study develops fuzzy multi-objective optimistic (FMOO) and…

Optimization and Control · Mathematics 2022-02-04 Awadh Pratap Singh , Shiv Prasad Yadav

The aim of this paper is to present a novel approach for ranking of all DMUs using the interval Cross-Efficiency (ICE) and interval Analytic Hierarchy Process (IAHP) methods. The approach includes two basic stages. In the first stage using…

Optimization and Control · Mathematics 2021-09-21 Dariush Akbarian

Decision-making units (DMUs) in a group convert the same resources (i.e., input indices) into the same products (i.e., output indices) at different scales. Performance indices have different measurement units, and their market prices per…

Optimization and Control · Mathematics 2023-06-21 Fun-Hwa Franklin Liu , Su-Chuan Shih

Data Envelopment Analysis (DEA) as mathematical models evaluates the technical efficiency of Decision Making Units (DMU) having multiple inputs and multiple outputs. Researchers are interested in applying DEA models in Multi Attribute…

Optimization and Control · Mathematics 2015-08-26 Majid Zerafat Angiz L. , Mohd Kamal Nawawi , Mohammad Ghadiri , Adli Mustafa

In this paper we propose robust efficiency scores for the scenario in which the specification of the inputs/outputs to be included in the DEA model is modelled with a probability distribution. This proba- bilistic approach allows us to…

Optimization and Control · Mathematics 2020-01-22 Mercedes Landete , Juan F. Monge , José L. Ruiz

We study ranked enumeration of join-query results according to very general orders defined by selective dioids. Our main contribution is a framework for ranked enumeration over a class of dynamic programming problems that generalizes…

Databases · Computer Science 2020-09-15 Nikolaos Tziavelis , Deepak Ajwani , Wolfgang Gatterbauer , Mirek Riedewald , Xiaofeng Yang

Identification of the reference set for each decision making unit (DMU) is a main concern in the data envelopment analysis (DEA). All of the methods developed to date have been focused on finding the furthest reference DMUs. In this paper,…

Optimization and Control · Mathematics 2014-07-10 Israfil Roshdi , Mahmood Mehdiloozad , Dimitris Margaritis

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

In data envelopment analysis (DEA), the occurrence of multiple reference sets is a crucial issue in identifying all the reference DMUs to a given decision making unit (DMU). To resolve this difficulty, we introduce the useful notion of…

Optimization and Control · Mathematics 2014-07-10 Israfil Roshdi , Ignace Van de Woestyne , Mostafa Davtalab-Olyaie

In a context of global economy, addressing SMEs performance within a local framework appears rather a naive approach. The key drawback of such an approach stems from its restriction to socio-economic factors that might lead to biased…

Optimization and Control · Mathematics 2021-04-22 Amar Oukil

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

Statistics Theory · Mathematics 2019-09-04 Toby Kenney

We propose an approach for dynamic efficiency evaluation across multiple organizational dimensions using data envelopment analysis (DEA). The method generates both dimension-specific and aggregate efficiency scores, incorporates desirable…

Optimization and Control · Mathematics 2026-04-07 Hashem Omrani , Raha Imanirad , Adam Diamant , Utkarsh Verma , Amol Verma , Fahad Razak

Data Envelopment Analysis (DEA) is a nonparametric, data driven technique used to perform relative performance analysis among a group of comparable decision making units (DMUs). Efficiency is assessed by comparing input and output data for…

Optimization and Control · Mathematics 2020-07-15 Emma Stubington , Matthias Ehrgott , Omid Nohadani

Data envelopment analysis (DEA) works like a black box that does not provide any adequate detail to identify the specific reason for inefficiency in decision-making units (DMUs). The motivation of this study is to analyze the cause of the…

Optimization and Control · Mathematics 2022-06-06 Awadh Pratap Singh , Shiv Prasad Yadav

In data envelopment analysis (DEA) literature, the returns to scale (RTS) of an inefficient decision making unit (DMU) is determined at its projected point on the efficient frontier. Under the occurrences of multiple projection points,…

Optimization and Control · Mathematics 2015-08-10 Mahmood Mehdiloozad , Biresh K. Sahoo

In this paper, a novel feature selection method is presented, which is based on Class-Separability (CS) strategy and Data Envelopment Analysis (DEA). To better capture the relationship between features and the class, class labels are…

Machine Learning · Computer Science 2015-02-03 Yishi Zhang , Chao Yang , Anrong Yang , Chan Xiong , Xingchi Zhou , Zigang Zhang
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