A multicut algorithm for two-stage stochastic linear programs

JR Birge, FV Louveaux - European Journal of Operational Research, 1988 - Elsevier
Outer linearization methods, such as Van Slyke and West's L-shaped method for stochastic
linear programs, generally apply a single cut on the nonlinear objective at each major …

Optimization over state feedback policies for robust control with constraints

PJ Goulart, EC Kerrigan, JM Maciejowski - Automatica, 2006 - Elsevier
This paper is concerned with the optimal control of linear discrete-time systems subject to
unknown but bounded state disturbances and mixed polytopic constraints on the state and …

A robust optimization perspective on stochastic programming

X Chen, M Sim, P Sun - Operations research, 2007 - pubsonline.informs.org
In this paper, we introduce an approach for constructing uncertainty sets for robust
optimization using new deviation measures for random variables termed the forward and …

Strategies for the probabilistic lot-sizing problem with service-level constraints

JH Bookbinder, JY Tan - Management Science, 1988 - pubsonline.informs.org
We formulate a stochastic-demand version of the single-stage lot-sizing problem with time-
varying demand, incorporating a service-level constraint on the probability of a stockout …

Primal and dual linear decision rules in stochastic and robust optimization

D Kuhn, W Wiesemann, A Georghiou - Mathematical Programming, 2011 - Springer
Linear stochastic programming provides a flexible toolbox for analyzing real-life decision
situations, but it can become computationally cumbersome when recourse decisions are …