We extend the single-stage stellarator coil design approach for quasi-symmetry on axis from [Giuliani et al, 2020] to additionally take into account manufacturing errors. By modeling errors independently discretization, we have flexibility consider realistic forms of The corresponding stochastic optimization problems are formulated using a risk-neutral and risk-averse approaches. present an eff...

Over the last two decades, robust optimization has emerged as a computationally attractive approach to formulate and solve single-stage decision problems affected by uncertainty. More recently, robust optimization has been successfully applied to multi-stage problems with continuous recourse. This paper takes a step towards extending the robust optimization methodology to problems with integer ...

In this paper we present GRASPER, a graph constraint solver, based on set constraints. We specify GRASPER’s constraints and we make use of our framework to model a problem in the context of biochemical networks showing promising results, when compared to an existing similar solver, in this early stage of development.

We consider a multi-stage production/distribution supply chain subject to stochastic demand. We formulate an optimization problem to determine where to place decoupling inventories, so-called strategic inventories, across the supply chain so as to minimize inventory holding costs subject to a service constraint for satisfying customer demand. We assume demand is normally distributed. For each s...

This paper proposes an improved algorithm of Particle Swarm Optimization (PSO) based on stage-structured algorithm and added features to enhance the ability of finding the global optimum in multimodal multi-dimensional optimization problems, which may have local optima, using low computational effort. Search space clustering based on Euclidian distance, particles crossover and mutation are adde...

Optimization under Uncertainty Optimization under Uncertainty: An Overview Urmila Diwekar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Two-Stage Stochastic Linear Programming: A Tutorial Vicente Rico-Ramirez . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Combinatorial Optimization under Uncertainty Ki-Joo Kim . . . . . . . . . . . . . . . . . . . . . . . . . . ...

This paper presents a novel optimization based methodology to allocate Flexible AC Transmission Systems (FACTS) devices in an attempt to improve the previously mentioned researches in this field. Static voltage stability enhancement, voltage profile improvement, line congestion alleviation, and FACTS devices investment cost reduction, have been considered, simultaneously, as objective funct...