In this study, we introduce and study a concept of distributed fuzzymodeling. Fuzzy modeling encountered so far is predominantly of a centralizednature by being focused on the use of a single data set. In contrast to this style ofmodeling, the proposed paradigm of distributed and collaborative modeling isconcerned with distributed models which are constructed in a highly collaborativefashion. I...

Markov models of the queueing theory described by birth-death processes (BDP) have been investigated and applied for a long time (see, e.g., [1, 2]). At the same time, creation of new methods to study BDP and enlargement of the range of the solved problems invoked appearance of a new series of works [3–11]. More realistic models of queueing systems described by nonstationary Markov chains are a...

Interconnection networks, such as, shared bus and multistage interconnection networks (MINs) are very suitable for the design of shared memory multiprocessors. The existing analytical models of these networks are based on unrealistic synthetic workload for simplicity of the analyses. Also, they consider the networks in isolation without incorporating other architectural details of a multiproces...

In this paper we study message flow processes in distributed simulators of open queueing networks. We develop and study queueing models for distributed simulators with maximum lookahead sequencing. We characterize the “external” arrival process, and the message feedback process in the simulator of a simple queueing network with feedback. We show that a certain “natural” modelling construct for ...

Samorodnitsky, \Heavy tails and long range dependence in on/oo processes and associated uid models," preprint. JLA95g] P. R. Jelenkovi c and A. A. Lazar, \Subexponential asymptotics of a Markov-modulated random walk with queueing applications," \Stochastic theory of a data handling system with multiple sources," Bell Syst. Techn. \Tail probabilities for non-standard risk and queueing processes ...

This paper treats transience for queueing network models by considering an asso ciated uid model If starting from any initial condition the uid model explodes at a linear rate then the associated queueing network with i i d service times and a renewal arrival process explodes faster than any fractional power

The paper is devoted to the analysis of queueing systems in the context of the network and communications theory. We investigate a theorem on the law of the iterated logarithm for a queue of jobs in an open multiserver queueing network and its applications to the mathematical models of the generalized Internet system and a multiserver computer system.

In this paper, we present a basic discrete-time queueing model whereby the service process is decomposed in two (variable) components: the demand of each customer, expressed in a number of work units needed to provide full service of the customer, and the capacity of the server, i.e., the number of work units that the service facility is able to perform per time unit. The model is closely relat...

infiltration plays an important role in surface and subsurface hydrology and it is a key factor in the rainfall and runoff equations. the use of new approaches that have no limitations of common theoretical and empirical methods to determine infiltration relationships, will minimize the necessity of time consuming and costly experiments to determine permeability values and will make it possible...