We develop a convex approximation for two-stage mixed-integer recourse models and we derive an error bound for this approximation that depends on all total variations of the probability density functions of the random variables in the model. We show that the error bound converges to zero if all these total variations converge to zero. Our convex approximation is a generalization of the one in C...

We propose a new variant of the two-stage recourse model. It can be used e.g., in managing resources in whose supply random interruptions may occur. Oil and natural gas are examples for such resources. Constraints in the resulting stochastic programming problems can be regarded as generalizations of integrated chance constraints. For the solution of such problems, we propose a new decomposition...

We consider a class of sampling-based decomposition methods to solve risk-averse multistage stochastic convex programs. We prove a formula for the computation of the cuts necessary to build the outer linearizations of the recourse functions. This formula can be used to obtain an efficient implementation of Stochastic Dual Dynamic Programming applied to convex nonlinear problems. We prove the al...

For non-isothermal operation in plate type gas absorber, the temperature changes and number of ideal trays can be determined with recourse to graphical method. In this paper there is an analysis illustrating that a Modified Kremser Equation can be used for plate type gas absorber in non-isothermal operation.

Environmental justice (EJ) literature rarely offers an explicit theory of race to explain processes of disparate environmental exposure and recourse in non-white and low-income communities. Failing to do so, analyses of environmental inequality risk eliding a central driver of environmental racism. Based on a case study of a contested birth defect cluster in California, this article traces the ...

We denote, for all feasible x, by R(x) the associated robust problem when x is fixed, and we denote by R(x, d) the associated robust problem when x and d are fixed. In this note we assume that the deterministic problem doesn’t satisfied the full recourse property. We prove how to obtain a new MILP denoted (P̃ ) such that the robust associated problem has the same optimal solution as the initial ...

The e-Learning provides the Learners to interact each other as well as with teachers. The new technology virtual learning system (VLE) is used to interact between the student and teacher. The vast improvement in the field of information technique leads to share of information resources. The development in e-Learning system which arise a new way of distributing knowledge around the world without...

We develop a convex approximation for two-stage mixed-integer recourse models and we derive an error bound for this approximation that depends on all total variations of the probability density functions of the random variables in the model. We show that the error bound converges to zero if all these total variations converge to zero. Our convex approximation is a generalization of the one in C...

In robust optimization, the multi-stage context (or dynamic decision-making) assumes that the information is revealed in stages. So, part of the decisions must be taken before knowing the real values of the uncertain parameters, and another part, called recourse decisions, is taken when the information is known. In this paper, we are interested in a robust version of the location transportation...

This work proposes a hybrid of stochastic programming (SP) approaches for an optimal midterm refinery planning that addresses three sources f uncertainties: prices of crude oil and saleable products, demands, and yields. An SP technique that utilizes compensating slack variables is mployed to explicitly account for constraints’ violations to increase model tractability. Four approaches are cons...