Performance Analysis of Some Queueing Models

Abstract

In this thesis, we have developed an industrial model for textile industry with five-input,five-stage queueing network, wherein system receives order from clients that are waiting to be served. The aim of this paper is to compute the optimal path that will provide the least response newlinetime for delivery of items to the final destination, through the five stages under queueing network. The mean number of items that can be delivered is minimum response time constitute newlinethe optimal capacity of the network. The last node in each stage of the network can be executed in the least possible response time. Various performance indices were carried out such as mean number of item in the system, mean number of item in queue, mean response time, mean waiting time. We have established the equivalent queueing network to analyze the various performance measures with numerical illustration and graph and also, we proposed single server queueing model using supply chain system. We presented network model for companies which fulfill the newlinedesirer demand of row material. The aim of this paper is to compute the optimal path. Which will provide the service in minimum time for delivery of product, various performance measures have been evaluated such as the mean number of order in the system, and the average time of order spends in the system, the average waiting time and the minimum average number of order in the waiting queue. We have also obtained numerical illustration and expected cost effective function. In third chapter, we study a mathematical model for new and handoff calls with blocking under queueing system. The aim of this paper is to assign the available channel effectively to call newlineadmission control scheme, which is classified in three categories priority, non-priority and subrating. We develop an algorithm for evaluating the blocking probability for new and handoff calls. The proposed algorithm is analyzed the effectiveness of call admission control policy.Numerical illustrations have been validated our results. newline