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Author (up) Chen, L.-H.; Lu, H.-W.
Title Responses and comments to ’A comment on ’An extended assignment problem considering multiple inputs and outputs” Type
Year 2008 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 32 Issue 11 Pages 2463-2466
Keywords DEA; BCC models; Efficiency measurement
Abstract This note is to response the comments from Jahanshahloo and Afzalinejad for the problem of DEA model formulation in Chen and Lu’s paper [L.H. Chen, H.W. Lu, An extended assignment problem considering multiple inputs and outputs, Appl. Math. Model. 31 (2007) 2239-2248]. The models adopted in that paper are formulated as the output-oriented BCC models, but not input-oriented BCC models stated in Jahanshahloo and Afzalinejad’s comments. Actually, the applied models are adopted in the relevant literature. Four examples, including the example from Jahanshahloo and Afzalinejad, are provided for justifying the responses.
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Call Number Admin @ admin @ ChenLu2008 Serial 4052
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Author (up) Chen, L.-H.; Lu, H.-W.
Title An extended assignment problem considering multiple inputs and outputs Type
Year 2007 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 31 Issue 10 Pages 2239-2248
Keywords Assignment problem; Hungarian algorithm; Data Envelopment Analysis (DEA )
Abstract The existing assignment problems for assigning n jobs to n individuals are limited to the considerations of cost or profit incurred by each possible assignment. However, in real applications, various inputs and outputs are usually concerned in an assignment problem, such as a general decision-making problem. This paper develops a procedure for resolving assignment problems with multiple incommensurate inputs and outputs for each possible assignment. The concept of the relative efficiency in using various resources, instead of cost or profit, is adopted for each possible assignment of the problem. Data envelopment analysis (DEA) is employed in this paper to measure the efficiency of one assignment relative to that of the others according to a set of decision-making units. A composite efficiency index, consisting of two kinds of relative efficiencies under different comparison bases, is defined to serve as the performance measurement of each possible assignment in the problem formulation. A mathematical programming model for the extended assignment problem is proposed, which is then expressed as a classical integer linear programming model to determine the assignments with the maximum efficiency. A numerical example is used to demonstrate the approach.
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Call Number Admin @ admin @ ChenLu2007 Serial 3676
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Author (up) Emrouznejad, A.; Amin, G.R.
Title DEA models for ratio data: Convexity consideration Type
Year 2009 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 33 Issue 1 Pages 486-498
Keywords Linear programming; Data Envelopment Analysis (DEA ); Production possibility set (PPS); Ratio data; Convexity
Abstract Data envelopment analysis (DEA) is defined based on observed units and by finding the distance of each unit to the border of estimated production possibility set (PPS). The convexity is one of the underlying assumptions of the PPS. This paper shows some difficulties of using standard DEA models in the presence of input-ratios and/or output-ratios. The paper defines a new convexity assumption when data includes a ratio variable. Then it proposes a series of modified DEA models which are capable to rectify this problem.
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Call Number Admin @ admin @ EmrouznejadAmin2009 Serial 4458
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Author (up) Farahani, R.Z.; Seifi, M.S.; Asgari, N.
Title Multiple criteria facility location problems: A survey Type
Year 2010 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 34 Issue 7 Pages 1689-1709
Keywords Location; Bi-objective; Multi-objective; Multi-attribute; Criteria
Abstract This paper provides a review on recent efforts and development in multi-criteria location problems in three categories including bi-objective, multi-objective and multi-attribute problems and their solution methods. Also, it provides an overview on various criteria used. While there are a few chapters or sections in different location books related to this topic, we have not seen any comprehensive review papers or book chapter that can cover it. We believe this paper can be used as a complementary and updated version.
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Call Number Admin @ admin @ FarahaniSeifiAsgari2010 Serial 4772
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Author (up) Foroughi, A.A.; Jafari, Y.
Title A modified method for constructing efficient solutions structure of MOLP Type
Year 2009 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 33 Issue 5 Pages 2403-2410
Keywords Multi objective linear programming; Efficient solutions set; Solution structure
Abstract This paper deals with a recently proposed algorithm for obtaining all weak efficient and efficient solutions in a multi objective linear programming (MOLP) problem. The algorithm is based on solving some weighted sum problems, and presents an easy and clear solution structure. We first present an example to show that the algorithm may fail when at least one of these weighted sum problems has not a finite optimal solution. Then, the algorithm is modified to overcome this problem. The modified algorithm determines whether an efficient solution exists for a given MOLP and generates the solution set correctly (if exists) without any change in the complexity.
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Call Number Admin @ admin @ ForoughiJafari2009 Serial 4472
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Author (up) Giokas, D.I.; Pentzaropoulos, G.C.
Title Evaluating the relative operational efficiency of large-scale computer networks: An approach via data envelopment analysis Type
Year 1995 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 19 Issue 6 Pages 363-370
Keywords computer networks; queueing theory; operational efficiency; Data Envelopment Analysis (DEA )
Abstract The objective of the present study was the development of a methodology to be used as an aid in decision making for the attainment of optimum operational efficiency in large-scale computer communications networks. The above methodology is realized in two stages. In the first stage, a queueing model (M/M/1/K) of a typical network is developed, and analytical results for the main performance indicators are obtained. The results are used, in the second stage, as a starting point for the application of a data envelopment analysis (DEA) procedure to obtain characteristics of network operational efficiency. Emphasis is placed on suggestions for improving the efficiency level of (relatively) inefficient nodes; numerical examples are also provided to illustrate the applicability of various options. Finally, possible routes for achieving a higher level of overall network efficiency are discussed, within the context of a performance tuning procedure, which are aimed at reducing the effects of performance bottlenecks.
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Call Number Admin @ admin @ GiokasPentzaropoulos1995 Serial 733
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Author (up) Gutiérrez, E.; Lozano, S.
Title Data Envelopment Analysis of multiple response experiments Type
Year 2010 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 34 Issue 5 Pages 1139-1148
Keywords Off-line quality control; Robust design; Multiple response; Artificial Neural Networks; Data Envelopment Analysis
Abstract Taguchi method is the usual strategy in robust design and involves conducting experiments using orthogonal arrays and estimating the combination of factor levels that optimizes a given performance measure, typically a signal-to-noise ratio. The problem is more complex in the case of multiple responses since the combinations of factor levels that optimize the different responses usually differ. In this paper, an Artificial Neural Network, trained with the experiments results, is used to estimate the responses for all factor level combinations. After that, Data Envelopment Analysis (DEA) is used first to select the efficient (i.e. non-dominated) factor level combinations and then for choosing among them the one which leads to a most robust quality loss penalization. Mean Square Deviations of the quality characteristics are used as DEA inputs. Among the advantages of the proposed approach over traditional Taguchi method are the non-parametric, non-linear way of estimating quality loss measures for unobserved factor combinations and the non-parametric character of the performance evaluation of all the factor combinations. The proposed approach is applied to a number of case studies from the literature and compared with existing approaches.
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Call Number Admin @ admin @ GutierrezLozano2010 Serial 4778
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Author (up) Hatefi, S.M.; Jolai, F.
Title A new model for classifying inputs and outputs and evaluating the performance of DMUs based on translog output distance function Type
Year 2010 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 34 Issue 6 Pages 1439-1449
Keywords DEA; Translog output distance function; Monte Carlo simulation; Variable status; Flexible measures; Efficiency
Abstract In conventional data envelopment analysis it is assumed that the input versus output status of each chosen performance measures is known. In some conditions finding a statue of some variables from the point view of input or output is very difficult; these variables treat as both an input and output and are called flexible measures. This paper proposes a new model based on translog output distance function for classifying inputs and outputs and evaluating the performance of decision-making units by considering flexible measures. Monte Carlo simulation is applied to evaluate the presented model comparing with that of the recent model found in the literature. The result shows that the measure efficiencies of our model are statistically closer to true efficiencies and have higher rank correlation with true efficiencies. Also results obtained from simulated data show that there are high correlation between our model and that of the recent model.
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Call Number Admin @ admin @ HatefiJolai2010 Serial 4780
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Author (up) Jahanshahloo, G.R.; Afzalinejad, M.
Title A comment on ’An extended assignment problem considering multiple inputs and outputs’ Type
Year 2008 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 32 Issue 11 Pages 2459-2462
Keywords Assignment problem; Efficiency; Data Envelopment Analysis (DEA )
Abstract This note shows that the data envelopment analysis (DEA) models formulated by Chen and Lu [L.H. Chen, H.W. Lu, An extended assignment problem considering multiple inputs and outputs, Appl. Math. Modell. 31 (2007) 2239–2248] are not correct. The enveloping form of the Chen and Lu formulation is studied and a simple example is presented to demonstrate the differences between the efficiency scores resulted of the Chen and Lu formulation, and the true ones.
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Call Number Admin @ admin @ JahanshahlooAfzalinejad2008 Serial 4140
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Author (up) Jahanshahloo, G.R.; Afzalinejad, M.
Title A ranking method based on a full-inefficient frontier Type
Year 2006 Publication Applied Mathematical Modelling Abbreviated Journal
Volume 30 Issue 3 Pages 248-260
Keywords Data Envelopment Analysis (DEA ); Full-inefficient frontier; Ranking
Abstract Since in evaluating by traditional data envelopment analysis (DEA) models many decision making units (DMUs) are classified as efficient, a large number of methods for fully ranking both efficient and inefficient DMUs have been proposed. In this paper a ranking method is suggested which basically differs from previous methods but its models are similar to traditional DEA models such as BCC, additive model, etc. In this ranking method, DMUs are compared against an full-inefficient frontier, which will be defined in this paper. Based on this point of view many models can be designed, and we mention a radial and a slacks-based one out of them. This method can be used to rank all DMUs to get analytic information about the system, and also to rank only efficient DMUs to discriminate between them.
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Call Number Admin @ admin @ JahanshahlooAfzalinejad2006 Serial 3383
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