In this paper we consider   multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have   concentric spheres. Indeed, we consider the problem in three variables when it is not correct.  

The present paper deals with the problem of calculating mean delays in polling systems with either exhaustive or gated service. We develop a mean value analysis (MVA) to compute these delay figures. The merits of MVA are in its intrinsic simplicity and its intuitively appealing derivation. As a consequence, MVA may be applied, both in an exact and approximate manner, to a large variety of models.

Mean value analysis is an exact solution technique for infinite capacity queueing networks and enjoyed widespread popularity during recent years. It considers the behavior of the system by stepwise increasing the number of jobs in the entire network, thus it is well-suited for the analysis of queueing networks with blocking. In this work, an approximation is introduced for the mean value analys...

Volume 16, No. 1 TRANSACTIONS 1

Several approximate Mean Value Analysis (MVA) shared memory multiprocessor models have been developed and used to evaluate a number of system architectures. In recent years, the use of superscalar processors, multilevel cache hierarchies, and latency tolerating techniques has signi cantly increased the complexity of multiprocessor system modeling. We present an analytical performance model whic...