26743853
Design and Analysis of a Class of Highly Scalable Hierarchical Networks: PdBCube
Abstract A class of hierarchical networks called the dBCube, that provides cost-effective and high-performance communication in large multicomputer systems, has recently been introduced. Such a compound graph of a hypercube and a de Bruijn (dB) graph utilizes every node of the hypercube as a gateway for intercluster communication. This paper presents a partially connected dBCube subclass (PdBCube), wherein the use of fewer nodes as gateways makes the PdBCube highly scalable in terms of both the hypercube and the dB size. This enhancement in scalability can be achieved by two different approaches to assigning gateways. Performance degradation of the proposed PdBCube is illustrated in terms of diameter and average distance. Improvement in track efficiency and reduction in cost are observed to be directly related to a decrease in the number of remote links.
11667524
A Novel Technique for Computing Negabinary Squares
A novel technique for computing squares of negabinary numbers is described in this correspondence. The basic principle is to use an arithmetic algorithm normally utilized for the square-root operation. Asuitable recursive combinations are shown to reduce the problem of obtaining the square of "n" bit number to the addition of [n/3] operands and the change of sign in the last step is shown to be helpful in reducing the hardware. One way for further improvement is also suggested.
32852748
Asynchronous Parallel Arc Consistency Algorithms on a Distributed Memory Machine
Abstract The use of arc consistency algorithms can greatly reduce the search space of a constraint satisfaction problem by preprocessing and eliminating variable assignments which can never participate in a solution. This paper examines two variations in the frequency of communications of three parallel arc consistency algorithms on distributed memory machines. This paper also examines the effect of simple load balancing versus the more robust mean field annealing graph partitioning heuristic on speedup. Through actual machine experimentation, we compute time required for the algorithms based on such parameters as distribution of work, frequency of message passing, and load balancing. Results indicate that the configuration with less frequent communications and the robust load balancing yields the best speedup.
37780110
A Duplication Based Compile Time Scheduling Method for Task Parallelism
The cost of inter-processor communication is one of the major bottlenecks of a distributed memory machine (DMM) which can be offset with efficient algorithms for task partitioning and scheduling. Based on the data dependencies, the task partitioning algorithm partitions the application program into tasks and represents them in the form of a directed acyclic graph (DAG) or in compiler intermediate forms. The scheduling algorithm schedules the tasks onto individual processors of the DMM in an effort to lower the overall parallel time. It has been long proven that obtaining an optimal schedule for a generic DAG is an NP-hard problem. This chapter presents a Scalable Task Duplication based Scheduling (STDS) algorithm which can schedule the tasks of a DAG with a worst case complexity of O(|v|2), where v is the set of tasks of the DAG. STDS algorithm generates an optimal schedule for a certain class of DAGs which satisfy a Cost Relationship Condition (CRC), provided the required number of processors are available. In case the required number of processors are not available the algorithm scales the schedule down to the available number of processors. The performance of the scheduling algorithm has been evaluated by its application to practical DAGs and by comparing the parallel time of the schedule generated against the absolute or the theoretical lowerbound.
3172403
On overlay schemes to support point-in-range queries for scalable grid resource discovery
A resource directory is a critical component of a grid architecture. P2P computing paradigm could address some of the scalability issues that make distributed resource discovery services challenging. Unfortunately, most existing distributed hash table (DHT) based P2P overlays have difficulty in treating attribute range queries that are common in resource discovery lookups. This paper proposes a general framework for range-based resource discovery. In particular, the proposed framework maps tree-structured logical data (i.e., range indexing) onto a DHT-based physical node space (i.e., resource brokers). In this paper, we consider three mapping schemes from the logical space onto the physical space. Each mapping scheme uses a different replication mechanism to reduce range search time and to achieve load balance. We analytically and experimentally compare the performance characteristics (query/update costs and workload distributions) of these schemes and discuss their applicability under different resource discovery service scenarios.
11059176
Policy-based validation of SAN configuration
Historically, storage has been directly connected to servers for fast local access and easy configuration. In recent years, storage area networks (SANs) have defined an alternative storage paradigm that allows storage to be shared among servers using fast interconnects. One of the key challenges of SAN management is the large number of configuration problems that are encountered in a typical SAN deployment. These configuration problems can be addressed by SAN management software. However, hard-coding the SAN configuration rules into the management software is not a viable option since it is not possible to easily modify or replace old configuration rules and specify new policies and guidelines. In this paper, we propose a novel policy-based SAN configuration validation system that can be used to specify, store, and evaluate configuration policies for SANs. We also introduce five new operators for collection policies that are useful for evaluating a wide variety of practical SAN configuration policies found in practice. The policy-based SAN configuration checking approach proposed in this paper is discussed within the context of device interoperability constraints. However, this approach is extensible as it can also be used to enforce performance, reliability, and security-related configuration constraints.
6124477
A counterexample to a Voronoi region conjecture
Given a 2D-symmetric lattice /spl Lambda/, it was conjectured by Forney (1989) that the projection of the Voronoi region R(/spl Lambda/) onto two coordinates equals the Voronoi region of the constituent 2D-sublattice /spl Lambda//spl nu//sub 2/. We present a three-dimensional counterexample. >
14060994
On nearest neighbor indexing of nonlinear trajectories
In recent years, the problem of indexing mobile objects has assumed great importance because of its relevance to a wide variety of applications. Most previous results in this area have proposed indexing schemes for objects with linear trajectories in one or two dimensions. In this paper, we present methods for indexing objects with nonlinear trajectories. Specifically, we identify a useful condition called the convex hull property and show that any trajectory satisfying this condition can be indexed by storing a careful representation of these objects in a traditional index structure. Since a wide variety of relevant nonlinear trajectories satisfy this condition, our result significantly expands the class of trajectories for which nearest neighbor indexing schemes can be devised. We also show that even though many non-linear trajectories do not satisfy the convex hull condition, an approximate representation can often be found which satisfies it. We discuss examples of techniques which can be utilized to find representations that satisfy the convex hull property. We present empirical results to demonstrate the effectiveness of our indexing method.
12715963
Multiple-antenna signal constellations for fading channels
In this correspondence, we show that the problem of designing efficient multiple-antenna signal constellations for fading channels can be related to the problem of finding packings with large minimum distance in the complex Grassmannian space. We describe a numerical optimization procedure for finding good packings in the complex Grassmannian space and report the best signal constellations found by this procedure. These constellations improve significantly upon previously known results.