An Insensitive Product Form for Discrete-Time Communication Networks
نویسنده
چکیده
Discrete-time communication networks are studied as due to digital transmissions. Simultaneous multiple transmission requests and completions as well as blocking are hereby involved. Scheduling times and packet lengths are allowed to have a general discrete distribution. A discrete-time product form result is obtained for the steady-state busy source distribution. Particularly, this form is shown to be insensitive, i.e. to depend only on means, in analogy with continuous-time results. The prooftechnique is of interest in itself as a multiple transition extension of continuous-time results. Typical applications include: . CSMA, BTMA and Rude-CSMA -protocols . Circuit switching structures . MAN-allocation schemes.
منابع مشابه
Arrival probability in the stochastic networks with an established discrete time Markov chain
The probable lack of some arcs and nodes in the stochastic networks is considered in this paper, and its effect is shown as the arrival probability from a given source node to a given sink node. A discrete time Markov chain with an absorbing state is established in a directed acyclic network. Then, the probability of transition from the initial state to the absorbing state is computed. It is as...
متن کاملA Product Form Extension for Discrete-Time Communication Protocols
A discrete-time communication framework is studied under an approximate socalled "stop protocol" related to the lost-calls-held protocol. An explicit insensitive product form expression as recently obtained under a less realistic recirculated protocol is shown to remain valid. This extension seems of both practical and theoretical interest. Applications include: • Circuit switching structures •...
متن کاملPRODUCT DEVELOPMENT IN PRODUCTION – NETWORKS
This paper presents an overview of new approaches in rapid product development in production networks from design points of view. The manufacturing industries are changing their focus to global sourcing as a means to improve performance and enhance competitiveness. Some partnerships created with this strategy improve product development through collaborative design. With the advent of e-Commerc...
متن کاملFINITE-TIME PASSIVITY OF DISCRETE-TIME T-S FUZZY NEURAL NETWORKS WITH TIME-VARYING DELAYS
This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...
متن کاملMODELLING AND ANALYSIS OF A DISCRETE-TIME PRIORITY QUEUING COMPUTER NETWORK WITH PRIORITY JUMPS USING PROBABILITY GENERATING FUNCTIONS
Priority queues have a great importance in the study of computer communication networks in which different types of traffic require different quality of service standards. The discrete-time non-preemptive priority queuing model with priority jumps is proposed in this paper. On the basis of probability generating functions mean system contents and mean queuing delay characteristics are obtained....
متن کامل