Optimization of Stochastic Performance Analysis on Multi Class Queueing Network
نویسندگان
چکیده
Queueing network models have used lucratively to analyze the validation of multi resource system such as Computer systems and Communication Networks. This paper covenantal with the Stochastic analysis of queueing network with several classes of customers. Stochastic analysis describes the nature of the queueing networks and their applications, calculating the system performance. The measurable parameters such as utilizations, mean queue length, response times are defined and the computational rapport is observed from their output generated by the simulation. Operational variables portrays the behavior of queueing network, for which in the case of large-scale queueing network, the solution may be written as a product of terms, where each term corresponding to the solution of an individual station of the network. The three basic operational assumptions such as flow balanced, routing homogeneity and onestep behavior are used to construct the analysis of network state ‘n’ as the time-proportion of queueing network P(n) . Finally, the new concept of decomposition principle has used to replace the non-homogeneous sub-system with equivalent devices. This property has proven useful to reduce the computation performance measures of the queueing networks with jobs reveal vastly unstable service load for the various service stations in the network. The model represents a new approach for analyzing transient congestion phenomena in such networks. Graphical representation shows that how the new method improves the performance measure over the simulation period in multi class queueing network.
منابع مشابه
تعیین موعد مقرر تحویل پروژه در شبکه های پرت پویا با چندین خدمت دهنده
In this paper, multi-class dynamic PERT network is considered as a queueing network, where the projects are similar and new projects are generated according to a Poisson process. Each activity is performed independently in its corresponding service station with exponential distribution by one server from several servers settled in service station based on FCFS (Fist Come, First Served) discipli...
متن کاملStochastic Control Optimization Technique on Multi-server Markovian Queueing System
Queueing network has widely applied to signify and investigate the resource sharing the system such as computer system, communication network. In many applications servers, like Web servers file servers, database servers, a huge amount of transaction has to be handled properly in a specified time limit. Each transaction typically consists of several sub-transactions that have to be processed in...
متن کاملSTOCHASTIC OPTIMIZATION AND ITS APPLICATION TO COMMUNICATION NETWORKS AND THE SMART GRID By ZONGRUI DING A DISSERTATION PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY
of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy STOCHASTIC OPTIMIZATION AND ITS APPLICATION TO COMMUNICATION NETWORKS AND THE SMART GRID By Zongrui Ding August 2012 Chair: Dapeng Wu Major: Electrical and Computer Engineering The scheduling of some practical systems is highly affected ...
متن کاملThe Achievable Region Approach to the Optimal Control of Stochastic Systems
The achievable region approach seeks solutions to stochastic optimisation problems by: (i) characterising the space of all possible performances (the achievable region) of the system of interest, and (ii) optimising the overall system-wide performance objective over this space. This is radically di erent from conventional formulations based on dynamic programming. The approach is explained with...
متن کاملAn Optimization Model for Multi-objective Closed-loop Supply Chain Network under uncertainty: A Hybrid Fuzzy-stochastic Programming Method
In this research, we address the application of uncertaintyprogramming to design a multi-site, multi-product, multi-period,closed-loop supply chain (CLSC) network. In order to make theresults of this article more realistic, a CLSC for a case study inthe iron and steel industry has been explored. The presentedsupply chain covers three objective functions: maximization ofprofit, minimization of n...
متن کامل