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Distributionally robust optimization under endogenous uncertainty with an application in retrofitting planning
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Doan, Xuan Vinh (2022) Distributionally robust optimization under endogenous uncertainty with an application in retrofitting planning. European Journal of Operational Research, 300 (1). pp. 73-84. doi:10.1016/j.ejor.2021.07.013 ISSN 0377-2217.
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WRAP-distributionally-robust-optimization-endogenous-uncertainty-application-retrofitting-planning-Doan-2021.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (1612Kb) | Preview |
Official URL: https://doi.org/10.1016/j.ejor.2021.07.013
Abstract
Endogenous uncertainty concerns uncertainty which is dependent of decisions such as link failure in the retrofitting planning application. We propose a marginal-based distributionally robust optimization framework for integer stochastic optimization with decision-dependent discrete distributions that can be applied for the retrofitting planning application. We show that the resulting model can be formulated as a mixed-integer linear optimization problem. In order to solve the problem, we develop a constraint generation algorithm given the exponentially large number of constraints. Numerical results for the retrofitting planning application show that the proposed algorithm once tailored can solve the problem efficiently.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Social Sciences > Warwick Business School | ||||||||
Journal or Publication Title: | European Journal of Operational Research | ||||||||
Publisher: | Elsevier | ||||||||
ISSN: | 0377-2217 | ||||||||
Official Date: | July 2022 | ||||||||
Dates: |
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Volume: | 300 | ||||||||
Number: | 1 | ||||||||
Page Range: | pp. 73-84 | ||||||||
DOI: | 10.1016/j.ejor.2021.07.013 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 6 July 2021 | ||||||||
Date of first compliant Open Access: | 15 July 2023 | ||||||||
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