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A joint chance-constrained data envelopment analysis model with random output data

Rashed Khanjani Shiraz (), Madjid Tavana () and Hirofumi Fukuyama ()
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Rashed Khanjani Shiraz: University of Tabriz
Madjid Tavana: La Salle University
Hirofumi Fukuyama: Fukuoka University

Operational Research, 2021, vol. 21, issue 2, No 19, 1255-1277

Abstract: Abstract Data envelopment analysis (DEA) is a mathematical programming approach for evaluating the technical efficiency performances of a set of comparable decision-making units that transform multiple inputs into multiple outputs. The conventional DEA models are based on crisp input and output data, but real-world problems often involve random output data. The main purpose of the paper is to propose a joint chance-constrained DEA model for analyzing a real-world situation characterized by random outputs and crisp inputs. After developing the model, we carry out the following: First, we obtain an upper bound of this stochastic non-linear model deterministically by applying a piecewise linear approximation algorithm based on second-order cone programming; Second, we obtain a lower bound with use of a piecewise tangent approximation algorithm, which is also based on second-order cone programming; and then we use a numerical example to demonstrate the applicability of the proposed joint chance-constrained DEA framework.

Keywords: Data envelopment analysis; Joint chance-constrained programming; Random data; Second-order cone programming (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s12351-019-00478-0

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