Gradients and subgradients of buffered failure probability

Royset, J. O. and Byun, J.-E. (2021) Gradients and subgradients of buffered failure probability. Operations Research Letters, 49(6), pp. 868-873. (doi: 10.1016/j.orl.2021.10.004)

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Abstract

Gradients and subgradients are central to optimization and sensitivity analysis of buffered failure probabilities. We furnish a characterization of subgradients based on subdifferential calculus in the case of finite probability distributions and, under additional assumptions, also a gradient expression for general distributions. Several examples illustrate the application of the results, especially in the context of optimality conditions.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Byun, Dr Ji-Eun
Authors: Royset, J. O., and Byun, J.-E.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Operations Research Letters
Publisher:Elsevier
ISSN:0167-6377
ISSN (Online):1872-7468
Published Online:27 October 2021

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