As one of the most complex steps in fabric production, sizing plays a very important role in the weaving process. The primary purpose of the sizing process is to obtain the warp threads that can successfully be woven without major damages which occur during the yarn passage through sliding metal parts of the weaving machine (Lord, 2003). It applies to the improvement of physical and mechanical ...

A dynamic knapsack set is a natural generalization of the 0-1 knapsack set with a continuous variable studied recently. For dynamic knapsack sets a large family of facet-defining inequalities, called dynamic knapsack inequalities, are derived by fixing variables to one and then lifting. Surprisingly such inequalities have the simultaneous lifting property, and for small instances provide a sign...

This paper proposes an inverse lot-sizing model for eliciting the cost parameters (the setup, holding, and backlog costs) of a supplier from earlier demand vs. optimal lot-size pairs. It is assumed that the supplier solves a single-item, multi-period, uncapacitated lot-sizing problem with backlogs to optimality to calculate its lot-sizes, and the buyer is aware of this fact. The inverse optimiz...

We investigate the polyhedral structure of the lot-sizing problem with inventory bounds. We consider two models, one with linear cost on inventory, the other with linear and fixed costs on inventory. For both models, we identify facet-defining inequalities that make use of the inventory bounds explicitly and give exact separation algorithms. We also describe a linear programming formulation of ...

This paper investigates the integrated optimization of production, distribution and inventory decisions related to supplying multiple retailers from a central production facility. A single-item uncapacitated lot-sizing problem is defined for optimizing production decisions and inventory management. The optimization of daily distribution is modeled as a traveling salesman problem or a vehicle ro...

The various optimal capacitor placement techniques on transmission and distributions lines for line losses reduction and enhancement of voltage stability in the power system network have been proposed so far in different papers. Optimal Capacitor placement is an optimization problem which has an objective to define the sizes and locations of capacitors to be installed. This paper focuses on the...

In this chapter, the authors show the main aspects and implications of automatic sizing, including yield. Different strategies for accelerating performance estimation and design space search are addressed. The analog sizing problem is converted into a nonlinear optimization problem, and the design space is explored using metaheuristics based on genetic algorithms. Circuit performance is estimat...

This paper investigates the optimal sampling and the speed-up obtained through sampling for the sampled OneMax problem. Theoretical and experimental analyses are given for three different population-sizing models: the decision-making model, the gambler’s ruin model, and the fixed population-sizing model. The results suggest that, when the desired solution quality is fixed to a high value, the d...

We present a novel technique to automatically calculate an initial sizing of analog circuits that conforms to good design practice. The method is purely (DC) simulation-based and does not need symbolic design equations or user design knowledge. It identifies the space of feasible design parameters based on implicit specifications, which arise from the circuit topology. A sizing centered within ...