We propose an approach to linear optimization with recourse that does not involve a probabilistic description of the uncertainty, and allows the decision-maker to adjust the degree of robustness of the model while preserving its linear properties. We model random variables as uncertain parameters belonging to a polyhedral uncertainty set and minimize the sum of the first-stage costs and the wor...

We introduce two-stage stochastic semidefinite programs with recourse and present a Benders decomposition based linearly convergent interior point algorithms to solve them. This extends the results in Zhao [16] wherein it was shown that the logarithmic barrier associated with the recourse function of two-stage stochastic linear programs with recourse behaves as a strongly self-concordant barrie...

Zhao [28] recently showed that the log barrier associated with the recourse function of twostage stochastic linear programs behaves as a strongly self-concordant barrier and forms a self concordant family on the first stage solutions. In this paper we show that the recourse function is also strongly self-concordant and forms a self concordant family for the two-stage stochastic convex quadratic...

—The do-not-exceed (DNE) limit method was proposed to accommodate more variable renewable generation (VRG) securely. However, the lack of involving discrete recourse control precludes this method from gaining more flexibility for better VRG integration. This letter formulates a multi-period DNE limit model considering continuous and discrete recourse controls. This model belongs to two-stage ro...

The nature and intensity of punishment following contractual default varies greatly across economies. For instance, in the residential mortgage context, some US states limit the liability of the borrower to the home, while other states grant the lender much broader recourse. Intuitively, we would expect these differences to matter for default behavior at the micro-economic level and for equilib...

We study the role that recourse plays in commercial real estate loan contracts of largest U.S. banks. find is valued by lenders and treated as a substitute for conventional equity. At origination, loans have rate spreads are at least 20 basis points lower loan-to-value ratios around 3 percentage higher than non-recourse loans. Dynamically, affects modification negotiations providing additional ...

Stochastic programming models are large-scale optimization problems that are used to facilitate decisionmaking under uncertainty. Optimization algorithms for such problems need to evaluate the expected future costs of current decisions, often referred to as the recourse function. In practice, this calculation is computationally difficult as it requires the evaluation of a multidimensional integ...