Approximation Schemes for Broadcasting in Heterogenous Networks
نویسندگان
چکیده
We study the problem of minimizing the broadcast time for a set of processors in a cluster, where processor pi has transmission time ti, which is the time taken to send a message to any other processor in the cluster. Previously, it was shown that the Fastest Node First method (FNF) gives a 1.5 approximate solution. In this paper we show that there is a polynomial time approximation scheme for the problems of broadcasting and multicasting in such a heterogenous cluster.
منابع مشابه
یک الگوریتم سیلآسای مبتنی بر احتمال تطابقی برای شبکههای موردی سیار
Broadcasting is one of the most fundamental operations in mobile ad hoc networks. Broadcasting serves as a building block in many routing protocols. The simplest approach for broadcasting is flooding. However, it generates many redundant messages that cause to loss of scarce resources such bandwidth and battery powers and it may lead to contention, collision and extreme decrease of network perf...
متن کاملAPPROXIMATION OF STOCHASTIC PARABOLIC DIFFERENTIAL EQUATIONS WITH TWO DIFFERENT FINITE DIFFERENCE SCHEMES
We focus on the use of two stable and accurate explicit finite difference schemes in order to approximate the solution of stochastic partial differential equations of It¨o type, in particular, parabolic equations. The main properties of these deterministic difference methods, i.e., convergence, consistency, and stability, are separately developed for the stochastic cases.
متن کاملBiorthogonal wavelet-based full-approximation schemes for the numerical solution of elasto-hydrodynamic lubrication problems
Biorthogonal wavelet-based full-approximation schemes are introduced in this paper for the numerical solution of elasto-hydrodynamic lubrication line and point contact problems. The proposed methods give higher accuracy in terms of better convergence with low computational time, which have been demonstrated through the illustrative problems.
متن کاملCombination of Approximation and Simulation Approaches for Distribution Functions in Stochastic Networks
This paper deals with the fundamental problem of estimating the distribution function (df) of the duration of the longest path in the stochastic activity network such as PERT network. First a technique is introduced to reduce variance in Conditional Monte Carlo Sampling (CMCS). Second, based on this technique a new procedure is developed for CMCS. Third, a combined approach of simulation and ap...
متن کاملAn Efficient Hierarchical Modulation based Orthogonal Frequency Division Multiplexing Transmission Scheme for Digital Video Broadcasting
Due to the increase of users the efficient usage of spectrum plays an important role in digital terrestrial television networks. In digital video broadcasting, local and global content are transmitted by single frequency network and multifrequency network respectively. Multifrequency network support transmission of global content and it consumes large spectrum. Similarly local content are well ...
متن کامل