Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/325764 
Year of Publication: 
2023
Citation: 
[Journal:] Operations Research Perspectives [ISSN:] 2214-7160 [Volume:] 10 [Article No.:] 100278 [Year:] 2023 [Pages:] 1-6
Publisher: 
Elsevier, Amsterdam
Abstract: 
A linear optimization problem which is amenable to column generation and contains a single parameter in the objective function is considered. We extend and adapt the standard linear programming column generation scheme to effectively and efficiently solve this problem for all values of the parameter. As a potential application we consider bi-objective discrete optimization and describe how the one-parametric column generation scheme can be used to form an outer approximation of the Pareto frontier for such a problem.
Subjects: 
Bi-objective discrete optimization
Column generation
Dantzig-Wolfe decomposition
Linear programming
Parametric optimization
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article

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