The main goal of this paper is to develop a new generalization of balancing and Lucas-balancing sequences namely balancing and Lucas-balancing $p$-numbers and derive several identities related to them. Some combinatorial forms of these numbers are also presented.

Let X ⊂ CP be a smooth subvariety. We study a flow, called balancing flow, on the space of projectively equivalent embeddings of X which attempts to deform the given embedding into a balanced one. If L→ X is an ample line bundle, considering embeddings via H(L) gives a sequence of balancing flows. We prove that, provided these flows are started at appropriate points, they converge to Calabi flo...

It is a well-known fact that routing metrics play a crucial part in the performance of wireless mesh networks (WMN). When routing protocols are implemented, the routing metrics are assigned to different paths. It calculates the best path to predict the best routing path. They are integrated in routing protocols to improve WMNs efficiency in terms of reliability, latency, throughput, error rate ...

Load balancing is a key technique for improving Internet performance. Effective use of load balancing requires good traffic distribution schemes. We study the performance of several hashing schemes for distributing traffic over multiple links while preserving the order of packets within a flow. Although hashing-based load balancing schemes have been proposed in the past, this is the first compr...

The objective of this research is to develop an accurate numerical method to be used in showing the deformation of a liquid fuel droplet in a convective field. To simultaneously solve the internal liquid droplet flow field as well as the external gas phase flow field, a nonstaggered rectangular grid system without any coordinate transformation is used. Transition from the gas field to the liqui...

A logical link composed of multiple physical links is in extensive use in today’s Internet and its use is growing due to good scalability, reliability and cost-effectiveness. When IP packets are distributed over such physical links, load unbalancing and packet reordering may occur. Since packet reordering degrades TCP performance, a good traffic distribution method must reduce the amount of reo...

An important cost issue in multimedia servers is disk load balancing, such that the available hard disks are used as efficiently as possible. Disk load balancing is often done on a block basis, but can also be done on a time basis, by taking into account the actual transfer times of the blocks. In the latter approach we can also embed the disk switch times. In this paper we revisit blockbased l...