chance constraint

ALSO-X#: Better Convex Approximations for Distributionally Robust Chance Constrained Programs

  • Nan Jiang
  • Weijun Xie
    • Categories Stochastic Programming Tags , , ,

    This paper studies distributionally robust chance constrained programs (DRCCPs), where the uncertain constraints must be satisfied with at least a probability of a prespecified threshold for all probability distributions from the Wasserstein ambiguity set. As DRCCPs are often nonconvex and challenging to solve optimally, researchers have been developing various convex inner approximations. Recently, ALSO-X has … Read more

    Robust Concave Utility Maximization over a Chance-Constraint

  • Shanshan Wang
  • Sanjay Mehrotra
    • Categories Applications - OR and Management Sciences, Robust Optimization, Stochastic Programming Tags , , , , , ,

    This paper, for the first time, studies an expected utility problem with a chance constraint with incomplete information on a decision maker’s utility function. The model maximizes the worst-case expected utility of random outcome over a set of concave functions within a novel ambiguity set while satisfying a chance constraint with a given probability. To … Read more