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...

We consider an extremal problem for polynomials, which is dual to the well-known Smale mean value problem. We give a rough estimate depending only on the degree.

‎the subject of this paper is the solution of the fredholm integral equation with toeplitz, hankel and the toeplitz plus hankel kernel. the mean value theorem for integrals is applied and then extended for solving high dimensional problems and finally, some example and graph of error function are presented to show the ability and simplicity of the ‎method.

we describe a variational problem on a surface under a constraintof geometrical character. necessary and sufficient conditions for the existence ofbifurcation points are provided. in local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. the problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.

Volume 16, No. 1 TRANSACTIONS 1

Abstract For any positive integer n, the famous Smarandache function S(n) defined as the smallest positive integer m such that n | m!. That is, S(n) = min{m : n | m!, n ∈ N}. The Smarandache LCM function SL(n) the smallest positive integer k such that n | [1, 2, · · · , k], where [1, 2, · · · , k] denotes the least common multiple of 1, 2, · · · , k. The main purpose of this paper is using the ...

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...

Several problems involving E(T ) and E2(T ), the error terms in the mean square and mean fourth moment formula for |ζ( 1 2 + it)|, are discussed. In particular it is proved that

AbstractIn this paper we formulate Stein–minimax type estimators and compare the performance properties with other estimators in case of mean value predictions. When the model is estimated by ordinary least squares it has been observed that least squares predicted is unbiased while minimax and Stein-minimax predictors are biased. The superiority conditions of the estimators have been derived by...

Let p be a polynomial in one complex variable. Smale’s mean value conjecture estimates |p′(z)| in terms of the gradient of a chord from (z, p(z)) to some stationary point on the graph of p. The conjecture does not immediately generalise to rational maps since its formulation is invariant under the group of affine maps, not the full Möbius group. Here we give two possible generalisations to rati...