Cost and quality are key properties of a product, possibly even the two most important. One definition of quality is fitness for purpose. Load-bearing products, i.e. structural components, loose their fitness for purpose if they fail. Thus, the ability to withstand failure is a fundamental measure of quality for structural components. Reliability based design optimization (RBDO) is an approach ...

The 0-1 Multidimensional Knapsack Problem (0-1 MKP) is a wellknown (and strongly NP-hard) combinatorial optimization problem with many applications. Up to now, the majority of upper bounding techniques for the 0-1 MKP have been based on Lagrangian or surrogate relaxation. We show that good upper bounds can be obtained by a cutting plane method based on lifted cover inequalities (LCIs). As well ...

This paper introduces dual and primal-dual RAMP algorithms for the solution of the capacitated minimum spanning tree problem (CMST). A surrogate constraint relaxation incorporating cutting planes is proposed to explore the dual solution space. In the dual RAMP approach, primal-feasible solutions are obtained by simple tabu searches that project dual solutions onto primal feasible space. A prima...

Conventional temporal causal discovery (CD) methods suffer from high dimensionality, fail to identify lagged relationships, and often ignore dynamics in relations. In this study, we present a novel constraint-based CD approach for autocorrelated non-stationary time series data (eCDANs) capable of detecting contemporaneous relationships along with changes. eCDANs addresses dimensionality by opti...

‎in this paper, using the idea of convexificators, we study boundedness and nonemptiness of lagrange multipliers satisfying the first order necessary conditions. we consider a class of nons- mooth fractional programming problems with equality, inequality constraints and an arbitrary set constraint. within this context, define generalized mangasarian-fromovitz constraint qualification and show t...

In numerous applications across all science and engineering areas, there are optimization problems where both the objective function constraints have no closed-form expression or too complex to be managed analytically, so that they can only evaluated through experiments. To address such issues, we design a global technique for with black-box constraints. Assuming Lipschitz continuity of cost co...

To reduce the wear and damage of chute caused by long-term impact coke, a structure parameter optimization model was established in this paper, which takes minimum force as objective coke-conveying speed constraint. Furthermore, ensemble support vector regression (E-SVR) with different kernel functions developed to replace implicit relationship between conveying speed, force, parameters. Using ...