Author
Agha Iqbal Ali
Other affiliations: University of Texas at Austin
Bio: Agha Iqbal Ali is an academic researcher from University of Massachusetts Amherst. The author has contributed to research in topics: Data envelopment analysis & Flow network. The author has an hindex of 14, co-authored 25 publications receiving 1203 citations. Previous affiliations of Agha Iqbal Ali include University of Texas at Austin.
Papers
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TL;DR: In this paper, conditions under which DEA models are translation invariant are established under which affine displacement does not alter the efficient frontier for models incorporating the convexity constraint, which affords a ready solution to the problems of scaling and the presence of zero values which arise in Data Envelopment Analysis.
379 citations
TL;DR: This proposed new approach not only reveals patterns of productivity change and presents a new interpretation along with the managerial implication of each Malmquist component, but also identifies the strategy shifts of individual DMUs based upon isoquant changes.
181 citations
TL;DR: The role of non-archimedean construct ∈ in the CCR and BCC models is clarified in this article, where it is established that the associated dual linear programs can be infeasible (for the multiplier side) and unboun
Abstract: The role of the non-Archimedean construct ∈ in the CCR and BCC models is clarified It is established that the associated dual linear programs can be infeasible (for the multiplier side) and unboun
138 citations
TL;DR: In this paper, the authors examine three essential components which comprise efficiency evaluation in data envelopment analysis and determine the implicit evaluation scheme associated with the model and provide a framework for classifying the various DEA models with respect to (i) the form of envelopment surface, (ii) the orientation, and (iii) the pricing mechanism implicit in the multiplier lower bounds.
111 citations
TL;DR: Computational testing with real-world data sets with up to 533 decision making units indicates that employing constructs that facilitate efficiency of computation in solving a sequence of as many linear programs as there are decisionMaking units reduces computation time significantly.
99 citations
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Book•
30 Nov 1999TL;DR: In this article, the basic CCR model and DEA models with restricted multipliers are discussed. But they do not consider the effect of non-discretionary and categorical variables.
Abstract: List of Tables. List of Figures. Preface. 1. General Discussion. 2. The Basic CCR Model. 3. The CCR Model and Production Correspondence. 4. Alternative DEA Models. 5. Returns to Scale. 6. Models with Restricted Multipliers. 7. Discretionary, Non-Discretionary and Categorical Variables. 8. Allocation Models. 9. Data Variations. Appendices. Index.
4,395 citations
TL;DR: Four key areas of Integer programming are examined from a framework that links the perspectives of artificial intelligence and operations research, and each has characteristics that appear usefully relevant to developments on the horizon.
3,985 citations
TL;DR: In this paper, a modified version of DEA based upon comparison of efficient DMUs relative to a reference technology spanned by all other units is developed, which provides a framework for ranking efficient units and facilitates comparison with rankings based on parametric methods.
Abstract: Data Envelopment Analysis DEA evaluates the relative efficiency of decision-making units DMUs but does not allow for a ranking of the efficient units themselves. A modified version of DEA based upon comparison of efficient DMUs relative to a reference technology spanned by all other units is developed. The procedure provides a framework for ranking efficient units and facilitates comparison with rankings based on parametric methods.
3,320 citations
TL;DR: This paper addresses the "super-efficiency" issue of Data Envelopment Analysis by using the slacks-based measure (SBM) of efficiency, which the author proposed in his previous paper [European Journal of Operational Research 130 (2001) 498].
2,575 citations
31 Jan 2001
TL;DR: In this paper, the slacks-based measure (SBM) of efficiency was proposed to discriminate the efficient decision making units (DMUs) based on the existence of slacks.
Abstract: In most models of Data Envelopment Analysis (DEA), the best performers have the full efficient status denoted by unity (or 100%), and, from experience, we know that usually plural Decision Making Units (DMUs) have this “efficient status”. To discriminate between these efficient DMUs is an interesting subject. This paper addresses this “super-efficiency” issue by using the slacks-based measure (SBM) of efficiency, which the author proposed in his previous paper [European Journal of Operational Research 130 (2001) 498]. The method differs from the traditional one based on the radial measure, e.g. Andersen and Petersen model, in that the former deals directly with slacks in inputs/outputs, while the latter does not take account of the existence of slacks. We will demonstrate the rationality of our approach by comparing it with the radial measure of super-efficiency. The proposed method will be particularly useful when the number of DMUs are small compared with the number of criteria employed for evaluation.
1,979 citations