Time series: theory and methods
Time series: theory and methods
Robust Solutions to Least-Squares Problems with Uncertain Data
SIAM Journal on Matrix Analysis and Applications
Mathematics of Operations Research
Time Series Analysis: Forecasting and Control
Time Series Analysis: Forecasting and Control
Robust Solutions to Uncertain Semidefinite Programs
SIAM Journal on Optimization
Operations Research
Adjustable robust solutions of uncertain linear programs
Mathematical Programming: Series A and B
Tractable Approximations to Robust Conic Optimization Problems
Mathematical Programming: Series A and B
Robust solutions of uncertain linear programs
Operations Research Letters
Robust linear optimization under general norms
Operations Research Letters
Hi-index | 0.00 |
In the paper, we propose a tractable robust counterpart for solving the uncertain linear optimization problem with correlated uncertainties related to a causal ARMA(p, q) process. This explicit treatment of correlated uncertainties under a time series setting in robust optimization is in contrast to the independent or simple correlated uncertainties assumption in existing literature. under some reasonable assumptions, we establish probabilistic guarantees for the feasibility of the robust solution. Finally, we provide a numerical method for the selection of the parameters which controls the tradeoff among the tractability, the robustness and the optimality of the robust model.