WebAug 31, 2024 · Secondly, we propose a new robust counterpart HHC model under uncertainty based on the well-known budgeted uncertainty set. The robust counterpart HHC model deals with travel and service times uncertainty. The computational results compare the deterministic model with its robust counterpart model. The small and … WebJul 1, 2024 · Therefore, the so-called budgeted uncertainty set, defined by this RCO model, comes as a natural choice to model processing time uncertainty in scheduling problems. The budgeted uncertainty set for the 2RPFS problem was proposed by Ying (2015). We reproduce their definition below, with some modifications in notation as well …
Exact solutions for the two-machine robust flow shop with budgeted ...
WebSep 1, 2024 · Furthermore, Bertsimas and Sim prove that, if an (1 + ε)-approximation algorithm for the deterministic problem exists, then we can approximate the robust min–max version with budgeted uncertainty set with the same accuracy by solving n + 1 deterministic problems by the approximation algorithm (Bertsimas and Sim 2003). WebJan 19, 2024 · Consider case 2, if the uncertainty set is ellipsoid . The corresponding robust optimization model is established as follows: 2.2.3. Budgeted Uncertainty Set. While the cost consensus with utility preferences is case 1, the uncertainty set is of the following budgeted type : Correspondingly, we get the following optimization model: happy tree friends pibby
On the Optimality of A ne Policies for Budgeted …
WebJun 1, 2024 · This paper considers the resource-constrained project scheduling problem with uncertain activity durations. We assume that activity durations lie in a budgeted uncertainty set, and follow a robust two-stage approach, where a decision maker must resolve resource conflicts subject to the problem uncertainty, but can determine activity … WebJul 1, 2024 · The resource consumption is supposed to belong to the budgeted uncertainty polytope. • Optimal solution approach based on a three-phase strategy is defined. • Valid bounds are derived from the resolution of the Robust dual Lagrangean Relaxation. • A comparison with the state-of-the-art is carried out on a set of benchmark instances. WebFeb 16, 2024 · We show that affine policies give an O (log n log log n)-approximation for the two-stage, adjustable, robust problem with fixed nonnegative recourse for budgeted uncertainty sets. This matches the hardness of approximation, and therefore, surprisingly, affine policies provide an optimal approximation for the problem (up to a constant factor). champion backpack and lunch bag