A W-shaped multilevel full-chip routing framework using W-shaped optimization flow is used to find the final routing solution. The W-shaped flow consists of two sequential V-shaped optimization flows. The first V-shaped flow optimizes the global routing solution. The probabilistic congestion prediction technique is used to guide the global routing decision to find the routing solution that even...

A multilevel nonlinear method (MNM) for the numerical solution of nonlinear partial differential equations is developed. The MNM algorithm is motivated and analyzed using a simplified model which retains the essential features of the new approach. It is thereby shown to combine the advantages of the two classical multigrid approaches to nonlinear problems. The analysis is supported by numerical...

In this paper, an optimization framework is developed for performance-based seismic design of composite moment frames consisting of concrete filled steel box columns and I-shaped steel beams. Material cost of the structure and seismic damage under severe earthquake ground motions are minimized as objective functions. Two design examples are presented to demonstrate the applicability and efficie...

It is important to share demand information among the members in supply chains. In recent years, production and inventory systems with advance demand information (ADI) have been discussed, where advance demand information means the information of demand which the decision maker obtains before the corresponding actual demand arrives. Appropriate production and inventory control using demand info...

Media production networks require an e cient collaboration between geographically distributed actors and o er predictable workloads, making it possible to exploit this predictability and use advance bandwidth reservation services to achieve greater bandwidth utilization and service guarantees. To o er reliable reservations, the incorporation of fault-tolerance related features in bandwidth rese...

This paper proposes a novel method for segmentation of images by hierarchical multilevel thresholding. The method is global, agglomerative in nature and disregards pixel locations. It involves the optimization of the ratio of the unbiased estimators of within class to between class variances. We obtain a recursive relation at each step for the variances which expedites the process. The efficacy...